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# Going through the tetrahedron

Best Answer TimeSpaceLightForce, 20 April 2013 - 03:54 PM

Do you have a measurement?

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Posted 18 April 2013 - 09:19 PM

Suppose you are in a contest with another player.  The gameshow created a holographic regular tetrahedron with each edge at 1 inch.  Your job is to make the largest possible tetrahedron and throw it threw the hologram.  The catch is that the tetrahedron you make must also be regular and must completely go through the hologram, so that every part of your shape must make it through the hologram.  You pick the orientation of the holographic tetrahedron.  The largest tetrahedron to make it through the holographic tetrahedron wins!

Assume that your shape does not rotate when it leaves your hands and that the hologram also does not rotate once you set its orientation.

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### #2 Morningstar

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Posted 19 April 2013 - 03:11 PM

If I understand this correctly, the solution is as follows:

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The cake is a lie.

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Posted 19 April 2013 - 04:16 PM

If I understand this correctly, the solution is as follows:

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In looking at TimeSpaceLightForce's question on Particles, I was reminded of Prince Rupert's cube.  In this problem, it is shown that a cube larger than a unit cube can in fact successfully pass through a unit cube.  This problem is now being put forth to a tetrahedron to see if the same applies.

http://en.wikipedia....e_Rupert's_cube

Edited by BMAD, 19 April 2013 - 04:18 PM.

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### #4 TimeSpaceLightForce

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Posted 19 April 2013 - 04:32 PM

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Posted 20 April 2013 - 02:04 AM

and so how big is it?

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### #6 TimeSpaceLightForce

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Posted 20 April 2013 - 03:19 AM

and so how big is it?

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Posted 20 April 2013 - 02:58 PM

Do you have a measurement?

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### #8 TimeSpaceLightForce

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Posted 20 April 2013 - 03:54 PM   Best Answer

Do you have a measurement?

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Posted 24 April 2013 - 05:30 AM

Though you know my feelings towards CAD

Do you have a measurement?

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