Hello!

I tried to construct distorted 600-cell following to A. Boole Scott
representation of polytopes (see
http://temporal_science.tripod.com/introduction/special6.htm for 120-cell
constructed this way). Is there an algorithm to distort the cells?
My second question is how to make unfolded polytope (from 4D to 3D)? Thanks.

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Am 27.02.2012 06:58, schrieb sniper:

> I tried to construct distorted 600-cell following to A. Boole Scott
> representation of polytopes (see
> http://temporal_science.tripod.com/introduction/special6.htm for 120-cell
> constructed this way). Is there an algorithm to distort the cells?

I'd /bet/ there is; but I'm not sure whether you're at the right place 
to ask. Your question is actually more of a highly special mathematical 
question rather than something POV-Ray specific, and although it /may/ 
be possible that someone around here might be able to help you, don't be 
disappointed if that turns out to not be the case.

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"sniper" wrote:
> Hello!
>
> I tried to construct distorted 600-cell following to A. Boole Scott
> representation of polytopes (see
> http://temporal_science.tripod.com/introduction/special6.htm for 120-cell
> constructed this way). Is there an algorithm to distort the cells?
> My second question is how to make unfolded polytope (from 4D to 3D)? Thanks.

You may be looking for this:
http://steve.hollasch.net/thesis/index.html

The hypercomplex (4D) fractals implemented in POV-Ray appear to use this kind of
projection which distorts what's rendered in a manner similar to the image in
the link you posted.

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I should have mentioned that chapter 4 has implementation details.

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"waggy" <hon### [at] handbasketorg> wrote:
> I should have mentioned that chapter 4 has implementation details.

Hi!

Thank you for the answer and source. I have implemented 4D rotation matrix, but
couldn't find formulas for presenting a polychoron as sphere-like projection and
distort cells. Could you guide me how to do it? Thank you.

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"waggy" <hon### [at] handbasketorg> wrote:
> I should have mentioned that chapter 4 has implementation details.

I found solution. Thanks again for help.

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