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Four ships at the ocean with the same distance


What's the more general case of this puzzler?Miss Danner and the Elmer BoysRobot Long and Robot HighHow can 64 = 65?The different twinsI like to travel. Can you tell where I've been?Help Billy retrieve his ball






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;

.everyonelovesstackoverflowposition:absolute;height:1px;width:1px;opacity:0;top:0;left:0;pointer-events:none;








13














$begingroup$


Four ships are located at the ocean, such that the distance between all four ships is the same.

How are the ships positioned?










share|improve this question










$endgroup$










  • 1




    $begingroup$
    If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
    $endgroup$
    – Strawberry
    Jul 8 at 14:57

















13














$begingroup$


Four ships are located at the ocean, such that the distance between all four ships is the same.

How are the ships positioned?










share|improve this question










$endgroup$










  • 1




    $begingroup$
    If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
    $endgroup$
    – Strawberry
    Jul 8 at 14:57













13












13








13


3



$begingroup$


Four ships are located at the ocean, such that the distance between all four ships is the same.

How are the ships positioned?










share|improve this question










$endgroup$




Four ships are located at the ocean, such that the distance between all four ships is the same.

How are the ships positioned?







lateral-thinking






share|improve this question














share|improve this question











share|improve this question




share|improve this question










asked Jul 5 at 16:41









ThomasLThomasL

8362 silver badges21 bronze badges




8362 silver badges21 bronze badges










  • 1




    $begingroup$
    If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
    $endgroup$
    – Strawberry
    Jul 8 at 14:57












  • 1




    $begingroup$
    If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
    $endgroup$
    – Strawberry
    Jul 8 at 14:57







1




1




$begingroup$
If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
$endgroup$
– Strawberry
Jul 8 at 14:57




$begingroup$
If I was deploying nuclear subs, this is how many I'd have (ok 5, not 4), and this is where I'd stick 'em.
$endgroup$
– Strawberry
Jul 8 at 14:57










8 Answers
8






active

oldest

votes


















22
















$begingroup$


Place them on the globe at the vertices of a (large) regular tetrahedron.







share|improve this answer










$endgroup$










  • 3




    $begingroup$
    "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
    $endgroup$
    – Mazura
    Jul 6 at 2:36






  • 4




    $begingroup$
    I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
    $endgroup$
    – jinawee
    Jul 6 at 20:35






  • 8




    $begingroup$
    There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
    $endgroup$
    – Florian F
    Jul 6 at 21:27











  • $begingroup$
    Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
    $endgroup$
    – Michael Seifert
    Jul 8 at 17:48






  • 2




    $begingroup$
    @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
    $endgroup$
    – Michael Seifert
    Jul 8 at 18:11



















30







+50









$begingroup$


They could also be at the vertices of a tetrahedron, with three ships near each other on the surface of the ocean and the other being a shipwreck on the ocean floor.







share|improve this answer










$endgroup$










  • 7




    $begingroup$
    I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
    $endgroup$
    – user1717828
    Jul 7 at 1:10



















23
















$begingroup$


They could all be distance 0 apart, i.e. touching each other. For example, three small ships in a triangular formation (all touching each other) on board a larger shipping vessel.







share|improve this answer










$endgroup$










  • 7




    $begingroup$
    At the end of the day, this is probably the one that has actually occurred.
    $endgroup$
    – Dark Thunder
    Jul 5 at 17:17










  • $begingroup$
    There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
    $endgroup$
    – ThomasL
    Jul 5 at 17:19






  • 2




    $begingroup$
    @ThomasL that'd be quite the wave, but you could be right
    $endgroup$
    – Dark Thunder
    Jul 5 at 17:28






  • 2




    $begingroup$
    Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
    $endgroup$
    – boboquack
    Jul 6 at 12:26






  • 2




    $begingroup$
    shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
    $endgroup$
    – armb
    Jul 8 at 14:59


















15
















$begingroup$


If we take your phrasing very literally, "the ocean" shouldn't mean more than one ocean. My understanding of geography tells me ships on the surface of any single ocean could not be equidistant. But you never said they were floating on the surface. As @JonMarkPerry suggested, ships should be at the points of a regular tetrahedron, but I would position two ships floating on the ocean surface and two sunken on the floor. That way they don't have to be too far apart.



Inspired by @Jafe's answer... The Starship Enterprise is floating in the ocean, and inside the holodeck there is a blimp airship. Inside the balloon part of the airship there is typical sailboat, and inside the hold of the sailboat there is a "ship-in-a-bottle".







share|improve this answer












$endgroup$










  • 2




    $begingroup$
    I like the second ariant
    $endgroup$
    – Hagen von Eitzen
    Jul 8 at 0:18


















12
















$begingroup$


One or more of the ships is a submarine. Either 1 below or 3 below, or any other form of a regular tetrahedron in 3D (ocean) space.







share|improve this answer










$endgroup$














  • $begingroup$
    or bar bs gurz vf fhaxra, this was my first idea as well.
    $endgroup$
    – Guntram Blohm
    Jul 6 at 5:49










  • $begingroup$
    Traditionally that would be considered a boat, not a ship.
    $endgroup$
    – armb
    Jul 8 at 15:03


















3
















$begingroup$

One solution on the earth globe:




3 ships on a parallel at equal distances and the fourth ship on a pole, like a spherical tetrahedron. It must fulfill:


1) $D_1 = 2timespi times R_1/3$, where $D_1$ is the distance between the 3 boats on the parallel circle and $R_1$ the radius of this parallel whose length is $2pitimes R_1$.


2) $D_2 = Rtimesalpha$, where $D_2$ is the distance between any of the 3 boats and the boat on the pole, $R$ the radius of the earth and $alpha$ the angle in radians between the pole and the parallel (like a latitude but measured from the pole and not the equator).


3) $D_1=D_2$ as we want the same distance between all boats




Combining the previous equations with the fact that




the radius of the parallel is $R_1 = Rsin(alpha)$




we find:




$alpha/sin(alpha)=2pi/3$, so $alpha = 1.947 rm~radians = 111.5^o$ which is equivalent to a latitude of 21.5 degrees south




So if ...




the 3 boats are on the parallel latitude $21.5^orm S$ and the fourth is on the pole, the distances between them all are the same: $D_1 = Rtimesalpha= 6370rmkmtimes1.947= 12.402rmkm$




QED






share|improve this answer












$endgroup$










  • 2




    $begingroup$
    Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
    $endgroup$
    – Rubio
    Jul 6 at 20:58










  • $begingroup$
    Also, pictures or it didn't happen.
    $endgroup$
    – Mr Lister
    Jul 7 at 14:59










  • $begingroup$
    sorry, my first time here
    $endgroup$
    – Xavier Gonzalez
    Aug 4 at 23:39


















2
















$begingroup$

Just to add to the number of possibilities regarding alternate solutions:




They are four spaceships arranged in the vertices of a tetrahedron orbiting above the ocean.







share|improve this answer










$endgroup$






















    1
















    $begingroup$


    If the ships are specified to be on the surface of the ocean (one ocean, not multiple), and the ocean is shaped as a normal ocean (not a sphere), we can still cheat with physics:



    Spatially, the ships would be equidistant if they are configured in a tetrahedron. But we need not deal only with space. If we consider distance in spacetime, we can make a similar tetrahedron where all ships are on the ocean's surface:



    Three of the ships are currently in a triangle pattern, equidistant, at the same time. One ship was formerly in the middle of that triangle. Let's say it was a spaceship, and it warped out. The time it was at that position can be calculated so that the combination of time and spatial distance from that ship to one of the others is the same as the spacetime separating any of the other two ships (i.e., spatial distance). We can thus construct a tetrahedron without requiring that a ship be above or below, by using increased temporal distance to make up what lacks in spatial distance.







    share|improve this answer










    $endgroup$
















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      8 Answers
      8






      active

      oldest

      votes








      8 Answers
      8






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      22
















      $begingroup$


      Place them on the globe at the vertices of a (large) regular tetrahedron.







      share|improve this answer










      $endgroup$










      • 3




        $begingroup$
        "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
        $endgroup$
        – Mazura
        Jul 6 at 2:36






      • 4




        $begingroup$
        I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
        $endgroup$
        – jinawee
        Jul 6 at 20:35






      • 8




        $begingroup$
        There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
        $endgroup$
        – Florian F
        Jul 6 at 21:27











      • $begingroup$
        Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
        $endgroup$
        – Michael Seifert
        Jul 8 at 17:48






      • 2




        $begingroup$
        @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
        $endgroup$
        – Michael Seifert
        Jul 8 at 18:11
















      22
















      $begingroup$


      Place them on the globe at the vertices of a (large) regular tetrahedron.







      share|improve this answer










      $endgroup$










      • 3




        $begingroup$
        "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
        $endgroup$
        – Mazura
        Jul 6 at 2:36






      • 4




        $begingroup$
        I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
        $endgroup$
        – jinawee
        Jul 6 at 20:35






      • 8




        $begingroup$
        There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
        $endgroup$
        – Florian F
        Jul 6 at 21:27











      • $begingroup$
        Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
        $endgroup$
        – Michael Seifert
        Jul 8 at 17:48






      • 2




        $begingroup$
        @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
        $endgroup$
        – Michael Seifert
        Jul 8 at 18:11














      22














      22










      22







      $begingroup$


      Place them on the globe at the vertices of a (large) regular tetrahedron.







      share|improve this answer










      $endgroup$




      Place them on the globe at the vertices of a (large) regular tetrahedron.








      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jul 5 at 16:49









      JMPJMP

      27.2k6 gold badges54 silver badges116 bronze badges




      27.2k6 gold badges54 silver badges116 bronze badges










      • 3




        $begingroup$
        "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
        $endgroup$
        – Mazura
        Jul 6 at 2:36






      • 4




        $begingroup$
        I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
        $endgroup$
        – jinawee
        Jul 6 at 20:35






      • 8




        $begingroup$
        There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
        $endgroup$
        – Florian F
        Jul 6 at 21:27











      • $begingroup$
        Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
        $endgroup$
        – Michael Seifert
        Jul 8 at 17:48






      • 2




        $begingroup$
        @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
        $endgroup$
        – Michael Seifert
        Jul 8 at 18:11













      • 3




        $begingroup$
        "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
        $endgroup$
        – Mazura
        Jul 6 at 2:36






      • 4




        $begingroup$
        I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
        $endgroup$
        – jinawee
        Jul 6 at 20:35






      • 8




        $begingroup$
        There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
        $endgroup$
        – Florian F
        Jul 6 at 21:27











      • $begingroup$
        Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
        $endgroup$
        – Michael Seifert
        Jul 8 at 17:48






      • 2




        $begingroup$
        @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
        $endgroup$
        – Michael Seifert
        Jul 8 at 18:11








      3




      3




      $begingroup$
      "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
      $endgroup$
      – Mazura
      Jul 6 at 2:36




      $begingroup$
      "positioned" with GPS, using their thrusters. The hard part is where, due to irregularity and 20% of the locations being invalid.
      $endgroup$
      – Mazura
      Jul 6 at 2:36




      4




      4




      $begingroup$
      I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
      $endgroup$
      – jinawee
      Jul 6 at 20:35




      $begingroup$
      I'm curious if this would be possible with the real shape of the earth. I'd be interesting if someone tried to fit a tetrahedron into some geodetic model.
      $endgroup$
      – jinawee
      Jul 6 at 20:35




      8




      8




      $begingroup$
      There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
      $endgroup$
      – Florian F
      Jul 6 at 21:27





      $begingroup$
      There is so much water on Earth, it is easy. Have 2 ships on the 30ºW meridian, at 55ºN, North Atlantic, and 55ºS, South Atlantic, and 2 ships on the Equator, at 95ºE, Indian ocean, and 155ºW, Pacific.
      $endgroup$
      – Florian F
      Jul 6 at 21:27













      $begingroup$
      Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
      $endgroup$
      – Michael Seifert
      Jul 8 at 17:48




      $begingroup$
      Having all four locations on land would be harder. IIRC this is a plot point in David Brin's novel Earth.
      $endgroup$
      – Michael Seifert
      Jul 8 at 17:48




      2




      2




      $begingroup$
      @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
      $endgroup$
      – Michael Seifert
      Jul 8 at 18:11





      $begingroup$
      @jinawee: Even on an ellipsoidal Earth, you could still place the ships at approx. 35.264°N and 35.264°S and at 90-degree intervals in longitude, with ships alternating Northern and Southern Hemispheres. For example: 35.264°N 20°W, 35.264°S 110°W, 35.264°S 70°E, and 35.264°N 160°W looks like it would work. Note that these latitudes would have to be geocentric rather than geodetic latitudes. If the geoid is in fact coincident with sea level, the rotational symmetry of the Earth then takes care of the rest.
      $endgroup$
      – Michael Seifert
      Jul 8 at 18:11














      30







      +50









      $begingroup$


      They could also be at the vertices of a tetrahedron, with three ships near each other on the surface of the ocean and the other being a shipwreck on the ocean floor.







      share|improve this answer










      $endgroup$










      • 7




        $begingroup$
        I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
        $endgroup$
        – user1717828
        Jul 7 at 1:10
















      30







      +50









      $begingroup$


      They could also be at the vertices of a tetrahedron, with three ships near each other on the surface of the ocean and the other being a shipwreck on the ocean floor.







      share|improve this answer










      $endgroup$










      • 7




        $begingroup$
        I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
        $endgroup$
        – user1717828
        Jul 7 at 1:10














      30







      +50







      30







      +50



      30






      +50



      $begingroup$


      They could also be at the vertices of a tetrahedron, with three ships near each other on the surface of the ocean and the other being a shipwreck on the ocean floor.







      share|improve this answer










      $endgroup$




      They could also be at the vertices of a tetrahedron, with three ships near each other on the surface of the ocean and the other being a shipwreck on the ocean floor.








      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jul 6 at 9:24









      Oscar CunninghamOscar Cunningham

      8257 silver badges7 bronze badges




      8257 silver badges7 bronze badges










      • 7




        $begingroup$
        I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
        $endgroup$
        – user1717828
        Jul 7 at 1:10













      • 7




        $begingroup$
        I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
        $endgroup$
        – user1717828
        Jul 7 at 1:10








      7




      7




      $begingroup$
      I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
      $endgroup$
      – user1717828
      Jul 7 at 1:10





      $begingroup$
      I really thought this is what @ThomasL was going for, given his odd phrasing in the question: Four ships are located at the ocean...
      $endgroup$
      – user1717828
      Jul 7 at 1:10












      23
















      $begingroup$


      They could all be distance 0 apart, i.e. touching each other. For example, three small ships in a triangular formation (all touching each other) on board a larger shipping vessel.







      share|improve this answer










      $endgroup$










      • 7




        $begingroup$
        At the end of the day, this is probably the one that has actually occurred.
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:17










      • $begingroup$
        There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
        $endgroup$
        – ThomasL
        Jul 5 at 17:19






      • 2




        $begingroup$
        @ThomasL that'd be quite the wave, but you could be right
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:28






      • 2




        $begingroup$
        Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
        $endgroup$
        – boboquack
        Jul 6 at 12:26






      • 2




        $begingroup$
        shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
        $endgroup$
        – armb
        Jul 8 at 14:59















      23
















      $begingroup$


      They could all be distance 0 apart, i.e. touching each other. For example, three small ships in a triangular formation (all touching each other) on board a larger shipping vessel.







      share|improve this answer










      $endgroup$










      • 7




        $begingroup$
        At the end of the day, this is probably the one that has actually occurred.
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:17










      • $begingroup$
        There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
        $endgroup$
        – ThomasL
        Jul 5 at 17:19






      • 2




        $begingroup$
        @ThomasL that'd be quite the wave, but you could be right
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:28






      • 2




        $begingroup$
        Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
        $endgroup$
        – boboquack
        Jul 6 at 12:26






      • 2




        $begingroup$
        shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
        $endgroup$
        – armb
        Jul 8 at 14:59













      23














      23










      23







      $begingroup$


      They could all be distance 0 apart, i.e. touching each other. For example, three small ships in a triangular formation (all touching each other) on board a larger shipping vessel.







      share|improve this answer










      $endgroup$




      They could all be distance 0 apart, i.e. touching each other. For example, three small ships in a triangular formation (all touching each other) on board a larger shipping vessel.








      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jul 5 at 17:05









      jafejafe

      37.5k6 gold badges104 silver badges372 bronze badges




      37.5k6 gold badges104 silver badges372 bronze badges










      • 7




        $begingroup$
        At the end of the day, this is probably the one that has actually occurred.
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:17










      • $begingroup$
        There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
        $endgroup$
        – ThomasL
        Jul 5 at 17:19






      • 2




        $begingroup$
        @ThomasL that'd be quite the wave, but you could be right
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:28






      • 2




        $begingroup$
        Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
        $endgroup$
        – boboquack
        Jul 6 at 12:26






      • 2




        $begingroup$
        shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
        $endgroup$
        – armb
        Jul 8 at 14:59












      • 7




        $begingroup$
        At the end of the day, this is probably the one that has actually occurred.
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:17










      • $begingroup$
        There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
        $endgroup$
        – ThomasL
        Jul 5 at 17:19






      • 2




        $begingroup$
        @ThomasL that'd be quite the wave, but you could be right
        $endgroup$
        – Dark Thunder
        Jul 5 at 17:28






      • 2




        $begingroup$
        Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
        $endgroup$
        – boboquack
        Jul 6 at 12:26






      • 2




        $begingroup$
        shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
        $endgroup$
        – armb
        Jul 8 at 14:59







      7




      7




      $begingroup$
      At the end of the day, this is probably the one that has actually occurred.
      $endgroup$
      – Dark Thunder
      Jul 5 at 17:17




      $begingroup$
      At the end of the day, this is probably the one that has actually occurred.
      $endgroup$
      – Dark Thunder
      Jul 5 at 17:17












      $begingroup$
      There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
      $endgroup$
      – ThomasL
      Jul 5 at 17:19




      $begingroup$
      There is also the possibilty, that on ship is is positioned on a high wave building a tetrahedron with the other three ships.
      $endgroup$
      – ThomasL
      Jul 5 at 17:19




      2




      2




      $begingroup$
      @ThomasL that'd be quite the wave, but you could be right
      $endgroup$
      – Dark Thunder
      Jul 5 at 17:28




      $begingroup$
      @ThomasL that'd be quite the wave, but you could be right
      $endgroup$
      – Dark Thunder
      Jul 5 at 17:28




      2




      2




      $begingroup$
      Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
      $endgroup$
      – boboquack
      Jul 6 at 12:26




      $begingroup$
      Or only slightly more realistically a small circular ship jammed between 3 larger ships in a triangle.
      $endgroup$
      – boboquack
      Jul 6 at 12:26




      2




      2




      $begingroup$
      shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
      $endgroup$
      – armb
      Jul 8 at 14:59




      $begingroup$
      shiplilly.com/blog/blue-marlin-ship-ships-shipping-ships
      $endgroup$
      – armb
      Jul 8 at 14:59











      15
















      $begingroup$


      If we take your phrasing very literally, "the ocean" shouldn't mean more than one ocean. My understanding of geography tells me ships on the surface of any single ocean could not be equidistant. But you never said they were floating on the surface. As @JonMarkPerry suggested, ships should be at the points of a regular tetrahedron, but I would position two ships floating on the ocean surface and two sunken on the floor. That way they don't have to be too far apart.



      Inspired by @Jafe's answer... The Starship Enterprise is floating in the ocean, and inside the holodeck there is a blimp airship. Inside the balloon part of the airship there is typical sailboat, and inside the hold of the sailboat there is a "ship-in-a-bottle".







      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        I like the second ariant
        $endgroup$
        – Hagen von Eitzen
        Jul 8 at 0:18















      15
















      $begingroup$


      If we take your phrasing very literally, "the ocean" shouldn't mean more than one ocean. My understanding of geography tells me ships on the surface of any single ocean could not be equidistant. But you never said they were floating on the surface. As @JonMarkPerry suggested, ships should be at the points of a regular tetrahedron, but I would position two ships floating on the ocean surface and two sunken on the floor. That way they don't have to be too far apart.



      Inspired by @Jafe's answer... The Starship Enterprise is floating in the ocean, and inside the holodeck there is a blimp airship. Inside the balloon part of the airship there is typical sailboat, and inside the hold of the sailboat there is a "ship-in-a-bottle".







      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        I like the second ariant
        $endgroup$
        – Hagen von Eitzen
        Jul 8 at 0:18













      15














      15










      15







      $begingroup$


      If we take your phrasing very literally, "the ocean" shouldn't mean more than one ocean. My understanding of geography tells me ships on the surface of any single ocean could not be equidistant. But you never said they were floating on the surface. As @JonMarkPerry suggested, ships should be at the points of a regular tetrahedron, but I would position two ships floating on the ocean surface and two sunken on the floor. That way they don't have to be too far apart.



      Inspired by @Jafe's answer... The Starship Enterprise is floating in the ocean, and inside the holodeck there is a blimp airship. Inside the balloon part of the airship there is typical sailboat, and inside the hold of the sailboat there is a "ship-in-a-bottle".







      share|improve this answer












      $endgroup$




      If we take your phrasing very literally, "the ocean" shouldn't mean more than one ocean. My understanding of geography tells me ships on the surface of any single ocean could not be equidistant. But you never said they were floating on the surface. As @JonMarkPerry suggested, ships should be at the points of a regular tetrahedron, but I would position two ships floating on the ocean surface and two sunken on the floor. That way they don't have to be too far apart.



      Inspired by @Jafe's answer... The Starship Enterprise is floating in the ocean, and inside the holodeck there is a blimp airship. Inside the balloon part of the airship there is typical sailboat, and inside the hold of the sailboat there is a "ship-in-a-bottle".








      share|improve this answer















      share|improve this answer




      share|improve this answer








      edited Jul 5 at 17:15

























      answered Jul 5 at 17:00









      Dark ThunderDark Thunder

      2,4795 silver badges28 bronze badges




      2,4795 silver badges28 bronze badges










      • 2




        $begingroup$
        I like the second ariant
        $endgroup$
        – Hagen von Eitzen
        Jul 8 at 0:18












      • 2




        $begingroup$
        I like the second ariant
        $endgroup$
        – Hagen von Eitzen
        Jul 8 at 0:18







      2




      2




      $begingroup$
      I like the second ariant
      $endgroup$
      – Hagen von Eitzen
      Jul 8 at 0:18




      $begingroup$
      I like the second ariant
      $endgroup$
      – Hagen von Eitzen
      Jul 8 at 0:18











      12
















      $begingroup$


      One or more of the ships is a submarine. Either 1 below or 3 below, or any other form of a regular tetrahedron in 3D (ocean) space.







      share|improve this answer










      $endgroup$














      • $begingroup$
        or bar bs gurz vf fhaxra, this was my first idea as well.
        $endgroup$
        – Guntram Blohm
        Jul 6 at 5:49










      • $begingroup$
        Traditionally that would be considered a boat, not a ship.
        $endgroup$
        – armb
        Jul 8 at 15:03















      12
















      $begingroup$


      One or more of the ships is a submarine. Either 1 below or 3 below, or any other form of a regular tetrahedron in 3D (ocean) space.







      share|improve this answer










      $endgroup$














      • $begingroup$
        or bar bs gurz vf fhaxra, this was my first idea as well.
        $endgroup$
        – Guntram Blohm
        Jul 6 at 5:49










      • $begingroup$
        Traditionally that would be considered a boat, not a ship.
        $endgroup$
        – armb
        Jul 8 at 15:03













      12














      12










      12







      $begingroup$


      One or more of the ships is a submarine. Either 1 below or 3 below, or any other form of a regular tetrahedron in 3D (ocean) space.







      share|improve this answer










      $endgroup$




      One or more of the ships is a submarine. Either 1 below or 3 below, or any other form of a regular tetrahedron in 3D (ocean) space.








      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jul 6 at 4:50









      John ChurchillJohn Churchill

      1212 bronze badges




      1212 bronze badges














      • $begingroup$
        or bar bs gurz vf fhaxra, this was my first idea as well.
        $endgroup$
        – Guntram Blohm
        Jul 6 at 5:49










      • $begingroup$
        Traditionally that would be considered a boat, not a ship.
        $endgroup$
        – armb
        Jul 8 at 15:03
















      • $begingroup$
        or bar bs gurz vf fhaxra, this was my first idea as well.
        $endgroup$
        – Guntram Blohm
        Jul 6 at 5:49










      • $begingroup$
        Traditionally that would be considered a boat, not a ship.
        $endgroup$
        – armb
        Jul 8 at 15:03















      $begingroup$
      or bar bs gurz vf fhaxra, this was my first idea as well.
      $endgroup$
      – Guntram Blohm
      Jul 6 at 5:49




      $begingroup$
      or bar bs gurz vf fhaxra, this was my first idea as well.
      $endgroup$
      – Guntram Blohm
      Jul 6 at 5:49












      $begingroup$
      Traditionally that would be considered a boat, not a ship.
      $endgroup$
      – armb
      Jul 8 at 15:03




      $begingroup$
      Traditionally that would be considered a boat, not a ship.
      $endgroup$
      – armb
      Jul 8 at 15:03











      3
















      $begingroup$

      One solution on the earth globe:




      3 ships on a parallel at equal distances and the fourth ship on a pole, like a spherical tetrahedron. It must fulfill:


      1) $D_1 = 2timespi times R_1/3$, where $D_1$ is the distance between the 3 boats on the parallel circle and $R_1$ the radius of this parallel whose length is $2pitimes R_1$.


      2) $D_2 = Rtimesalpha$, where $D_2$ is the distance between any of the 3 boats and the boat on the pole, $R$ the radius of the earth and $alpha$ the angle in radians between the pole and the parallel (like a latitude but measured from the pole and not the equator).


      3) $D_1=D_2$ as we want the same distance between all boats




      Combining the previous equations with the fact that




      the radius of the parallel is $R_1 = Rsin(alpha)$




      we find:




      $alpha/sin(alpha)=2pi/3$, so $alpha = 1.947 rm~radians = 111.5^o$ which is equivalent to a latitude of 21.5 degrees south




      So if ...




      the 3 boats are on the parallel latitude $21.5^orm S$ and the fourth is on the pole, the distances between them all are the same: $D_1 = Rtimesalpha= 6370rmkmtimes1.947= 12.402rmkm$




      QED






      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
        $endgroup$
        – Rubio
        Jul 6 at 20:58










      • $begingroup$
        Also, pictures or it didn't happen.
        $endgroup$
        – Mr Lister
        Jul 7 at 14:59










      • $begingroup$
        sorry, my first time here
        $endgroup$
        – Xavier Gonzalez
        Aug 4 at 23:39















      3
















      $begingroup$

      One solution on the earth globe:




      3 ships on a parallel at equal distances and the fourth ship on a pole, like a spherical tetrahedron. It must fulfill:


      1) $D_1 = 2timespi times R_1/3$, where $D_1$ is the distance between the 3 boats on the parallel circle and $R_1$ the radius of this parallel whose length is $2pitimes R_1$.


      2) $D_2 = Rtimesalpha$, where $D_2$ is the distance between any of the 3 boats and the boat on the pole, $R$ the radius of the earth and $alpha$ the angle in radians between the pole and the parallel (like a latitude but measured from the pole and not the equator).


      3) $D_1=D_2$ as we want the same distance between all boats




      Combining the previous equations with the fact that




      the radius of the parallel is $R_1 = Rsin(alpha)$




      we find:




      $alpha/sin(alpha)=2pi/3$, so $alpha = 1.947 rm~radians = 111.5^o$ which is equivalent to a latitude of 21.5 degrees south




      So if ...




      the 3 boats are on the parallel latitude $21.5^orm S$ and the fourth is on the pole, the distances between them all are the same: $D_1 = Rtimesalpha= 6370rmkmtimes1.947= 12.402rmkm$




      QED






      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
        $endgroup$
        – Rubio
        Jul 6 at 20:58










      • $begingroup$
        Also, pictures or it didn't happen.
        $endgroup$
        – Mr Lister
        Jul 7 at 14:59










      • $begingroup$
        sorry, my first time here
        $endgroup$
        – Xavier Gonzalez
        Aug 4 at 23:39













      3














      3










      3







      $begingroup$

      One solution on the earth globe:




      3 ships on a parallel at equal distances and the fourth ship on a pole, like a spherical tetrahedron. It must fulfill:


      1) $D_1 = 2timespi times R_1/3$, where $D_1$ is the distance between the 3 boats on the parallel circle and $R_1$ the radius of this parallel whose length is $2pitimes R_1$.


      2) $D_2 = Rtimesalpha$, where $D_2$ is the distance between any of the 3 boats and the boat on the pole, $R$ the radius of the earth and $alpha$ the angle in radians between the pole and the parallel (like a latitude but measured from the pole and not the equator).


      3) $D_1=D_2$ as we want the same distance between all boats




      Combining the previous equations with the fact that




      the radius of the parallel is $R_1 = Rsin(alpha)$




      we find:




      $alpha/sin(alpha)=2pi/3$, so $alpha = 1.947 rm~radians = 111.5^o$ which is equivalent to a latitude of 21.5 degrees south




      So if ...




      the 3 boats are on the parallel latitude $21.5^orm S$ and the fourth is on the pole, the distances between them all are the same: $D_1 = Rtimesalpha= 6370rmkmtimes1.947= 12.402rmkm$




      QED






      share|improve this answer












      $endgroup$



      One solution on the earth globe:




      3 ships on a parallel at equal distances and the fourth ship on a pole, like a spherical tetrahedron. It must fulfill:


      1) $D_1 = 2timespi times R_1/3$, where $D_1$ is the distance between the 3 boats on the parallel circle and $R_1$ the radius of this parallel whose length is $2pitimes R_1$.


      2) $D_2 = Rtimesalpha$, where $D_2$ is the distance between any of the 3 boats and the boat on the pole, $R$ the radius of the earth and $alpha$ the angle in radians between the pole and the parallel (like a latitude but measured from the pole and not the equator).


      3) $D_1=D_2$ as we want the same distance between all boats




      Combining the previous equations with the fact that




      the radius of the parallel is $R_1 = Rsin(alpha)$




      we find:




      $alpha/sin(alpha)=2pi/3$, so $alpha = 1.947 rm~radians = 111.5^o$ which is equivalent to a latitude of 21.5 degrees south




      So if ...




      the 3 boats are on the parallel latitude $21.5^orm S$ and the fourth is on the pole, the distances between them all are the same: $D_1 = Rtimesalpha= 6370rmkmtimes1.947= 12.402rmkm$




      QED







      share|improve this answer















      share|improve this answer




      share|improve this answer








      edited Jul 6 at 21:14









      Rubio

      33.1k6 gold badges78 silver badges205 bronze badges




      33.1k6 gold badges78 silver badges205 bronze badges










      answered Jul 6 at 20:23









      Xavier GonzalezXavier Gonzalez

      312 bronze badges




      312 bronze badges










      • 2




        $begingroup$
        Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
        $endgroup$
        – Rubio
        Jul 6 at 20:58










      • $begingroup$
        Also, pictures or it didn't happen.
        $endgroup$
        – Mr Lister
        Jul 7 at 14:59










      • $begingroup$
        sorry, my first time here
        $endgroup$
        – Xavier Gonzalez
        Aug 4 at 23:39












      • 2




        $begingroup$
        Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
        $endgroup$
        – Rubio
        Jul 6 at 20:58










      • $begingroup$
        Also, pictures or it didn't happen.
        $endgroup$
        – Mr Lister
        Jul 7 at 14:59










      • $begingroup$
        sorry, my first time here
        $endgroup$
        – Xavier Gonzalez
        Aug 4 at 23:39







      2




      2




      $begingroup$
      Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
      $endgroup$
      – Rubio
      Jul 6 at 20:58




      $begingroup$
      Please use >! spoilers, like every other answer here. Speaking of other answers, yours is a lot of extra specifics that are nevertheless just dressing up a duplicate of the accepted answer. You should read the other answers to ensure you're not adding a duplicate.
      $endgroup$
      – Rubio
      Jul 6 at 20:58












      $begingroup$
      Also, pictures or it didn't happen.
      $endgroup$
      – Mr Lister
      Jul 7 at 14:59




      $begingroup$
      Also, pictures or it didn't happen.
      $endgroup$
      – Mr Lister
      Jul 7 at 14:59












      $begingroup$
      sorry, my first time here
      $endgroup$
      – Xavier Gonzalez
      Aug 4 at 23:39




      $begingroup$
      sorry, my first time here
      $endgroup$
      – Xavier Gonzalez
      Aug 4 at 23:39











      2
















      $begingroup$

      Just to add to the number of possibilities regarding alternate solutions:




      They are four spaceships arranged in the vertices of a tetrahedron orbiting above the ocean.







      share|improve this answer










      $endgroup$



















        2
















        $begingroup$

        Just to add to the number of possibilities regarding alternate solutions:




        They are four spaceships arranged in the vertices of a tetrahedron orbiting above the ocean.







        share|improve this answer










        $endgroup$

















          2














          2










          2







          $begingroup$

          Just to add to the number of possibilities regarding alternate solutions:




          They are four spaceships arranged in the vertices of a tetrahedron orbiting above the ocean.







          share|improve this answer










          $endgroup$



          Just to add to the number of possibilities regarding alternate solutions:




          They are four spaceships arranged in the vertices of a tetrahedron orbiting above the ocean.








          share|improve this answer













          share|improve this answer




          share|improve this answer










          answered Jul 8 at 8:42









          zovitszovits

          1501 silver badge4 bronze badges




          1501 silver badge4 bronze badges
























              1
















              $begingroup$


              If the ships are specified to be on the surface of the ocean (one ocean, not multiple), and the ocean is shaped as a normal ocean (not a sphere), we can still cheat with physics:



              Spatially, the ships would be equidistant if they are configured in a tetrahedron. But we need not deal only with space. If we consider distance in spacetime, we can make a similar tetrahedron where all ships are on the ocean's surface:



              Three of the ships are currently in a triangle pattern, equidistant, at the same time. One ship was formerly in the middle of that triangle. Let's say it was a spaceship, and it warped out. The time it was at that position can be calculated so that the combination of time and spatial distance from that ship to one of the others is the same as the spacetime separating any of the other two ships (i.e., spatial distance). We can thus construct a tetrahedron without requiring that a ship be above or below, by using increased temporal distance to make up what lacks in spatial distance.







              share|improve this answer










              $endgroup$



















                1
















                $begingroup$


                If the ships are specified to be on the surface of the ocean (one ocean, not multiple), and the ocean is shaped as a normal ocean (not a sphere), we can still cheat with physics:



                Spatially, the ships would be equidistant if they are configured in a tetrahedron. But we need not deal only with space. If we consider distance in spacetime, we can make a similar tetrahedron where all ships are on the ocean's surface:



                Three of the ships are currently in a triangle pattern, equidistant, at the same time. One ship was formerly in the middle of that triangle. Let's say it was a spaceship, and it warped out. The time it was at that position can be calculated so that the combination of time and spatial distance from that ship to one of the others is the same as the spacetime separating any of the other two ships (i.e., spatial distance). We can thus construct a tetrahedron without requiring that a ship be above or below, by using increased temporal distance to make up what lacks in spatial distance.







                share|improve this answer










                $endgroup$

















                  1














                  1










                  1







                  $begingroup$


                  If the ships are specified to be on the surface of the ocean (one ocean, not multiple), and the ocean is shaped as a normal ocean (not a sphere), we can still cheat with physics:



                  Spatially, the ships would be equidistant if they are configured in a tetrahedron. But we need not deal only with space. If we consider distance in spacetime, we can make a similar tetrahedron where all ships are on the ocean's surface:



                  Three of the ships are currently in a triangle pattern, equidistant, at the same time. One ship was formerly in the middle of that triangle. Let's say it was a spaceship, and it warped out. The time it was at that position can be calculated so that the combination of time and spatial distance from that ship to one of the others is the same as the spacetime separating any of the other two ships (i.e., spatial distance). We can thus construct a tetrahedron without requiring that a ship be above or below, by using increased temporal distance to make up what lacks in spatial distance.







                  share|improve this answer










                  $endgroup$




                  If the ships are specified to be on the surface of the ocean (one ocean, not multiple), and the ocean is shaped as a normal ocean (not a sphere), we can still cheat with physics:



                  Spatially, the ships would be equidistant if they are configured in a tetrahedron. But we need not deal only with space. If we consider distance in spacetime, we can make a similar tetrahedron where all ships are on the ocean's surface:



                  Three of the ships are currently in a triangle pattern, equidistant, at the same time. One ship was formerly in the middle of that triangle. Let's say it was a spaceship, and it warped out. The time it was at that position can be calculated so that the combination of time and spatial distance from that ship to one of the others is the same as the spacetime separating any of the other two ships (i.e., spatial distance). We can thus construct a tetrahedron without requiring that a ship be above or below, by using increased temporal distance to make up what lacks in spatial distance.








                  share|improve this answer













                  share|improve this answer




                  share|improve this answer










                  answered Jul 8 at 10:11









                  piojopiojo

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