multidimensional multicupolic screw gauges

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

multidimensional multicupolic screw gauges

Postby dodecahedron » Sun Oct 07, 2012 11:21 pm

The definition was EP||PXQ.
So i thought why not EP||PXQXR
We could also use EP||P^R

Are these able to make bistratic CRF?
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Re: multidimensional multicupolic screw gauges

Postby Klitzing » Wed Oct 24, 2012 11:12 am

As to "EP||PXQXR":
P x Q x R is just a subcase of P x S: just take S to be Q x R. Therefore "EP||PXQXR" is contained in case "EP||PXQ".

As to "EP||P^R":
Depends on what you mean by "P^R". In case you mean Jonathans powertopes, you probably have to ask him yourself. (I never managed to wrap my mind arround these high dimensional structures.)
But if "R" here just means some (positive) integer, "EP||P^R" would be again, by the same argument, a subcase of "EP||PXQ".

--- rk
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Re: multidimensional multicupolic screw gauges

Postby dodecahedron » Wed Oct 24, 2012 1:27 pm

I meant jonathans powertopes. I've also been having trouble with construction of powertopes. i visualize cartesian products by replacing every point in x for y.
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