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Mad Scientists Science and Mathematics discussion-- theories, arguments, citations, proofs and pudding.

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 #1 
Old 2003-01-20, 14:13
dcl dcl is offline
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Default hypercubes

I was wondering if anyone knows of any proposals, or has any on how to fold up a hypercube-

doing so would apparently require the ability to see other dimensions, on paper it looks like there must be some really obvious solution-

if anyone is not familiar with a hypercube it consist of 5 cubes on top of each other of equal size, and from the 4th cube up there is another cube attached to each side- also of the same size- it looks like cross only in two directions.

and apparently the shadow for the folded hypercube would resemble a cube within a cube.

 #2 
Old 2003-01-20, 17:19
adamj adamj is offline
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Default Re: hypercubes

Try this flowchart:
1. Forget it, you can't see those dimentions and youre brain would/will implode upon attempting.
2. Smoke something illegal and then try step one again.
Repeat until you lose interst in hypercubes and that all annoying 4th d.
 #3 
Old 2003-01-20, 18:19
dcl dcl is offline
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Default Re: hypercubes

ha!- youre from machester me too- bolton, good job im in holland though- with some homegrown with me-

but anyway- so fuck if it cant be visualised-im interested in anyones theory of what might happen.

ps anyone know the name for a solid with 24 equal sides?

 #4 
Old 2003-01-21, 19:55
adamj adamj is offline
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Default Re: hypercubes

duododecahededron ?
 #5 
Old 2003-01-21, 20:17
hydrvs hydrvs is offline
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Default Re: hypercubes

the hyper cube is a theory.

a non-dimensional figure is a point

a single dimmensin figure is a line

a 2-d 1 is 2 lines (1D figure) connected by the vertices, like a square.

a 3D figure, is 2 square connected by the vertecies.

a 4D ( hypercube ) is 2 cubes connected by the verticies.
http://dogfeathers.com/java/hyprcube.html

here is a pic ( not the best I have ever seen, but .....)

sry about spelling
 #6 
Old 2003-01-22, 07:13
dcl dcl is offline
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Default Re: hypercubes

thanks for the link, i managed to find this-
http://www.well.com/~abs/SIGGRAPH96/4Dtess.html

which explains everything quite well
 #7 
Old 2003-01-22, 16:45
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Date Registered Nov 2002
Default Re: hypercubes

another one from manchester. anyways those hypercube images are really confusing. who first discovered/made these. and can you make them physically, the only things that i see there are projections.
 #8 
Old 2003-01-23, 10:44
dcl dcl is offline
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Default Re: hypercubes

yeah thats my point, i dont understend how you get from the cross shaped hypercube to the 4d projection - they dont seem to relate, i want to know if the cross shaped one has to collapse on itself, or something. About when these came about i dont know- but i know that salvador dali painted "christus hypercubus" so i guess that was a while back.
 
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