Higher-Dimensional Monster Snubs

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

Higher-Dimensional Monster Snubs

Postby Mecejide » Sat Sep 19, 2020 12:31 am

I recently discovered the 7D and 8D analogs of the monster snubs from 4D. They are:
The blend of 30 naqs
The blend of 270 fies
The blend of 270 tiffies
The blend of 270 riffies
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Re: Higher-Dimensional Monster Snubs

Postby Klitzing » Sun Sep 20, 2020 10:32 am

could you expand on the respective elemental structures?
As well as their hulls / armies?

As I get it they were discovered as according compounds,
but then will have completely coincident elements,
which thus form those blendes polytopes.

--- rk
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Re: Higher-Dimensional Monster Snubs

Postby Mecejide » Sun Sep 20, 2020 7:39 pm

Klitzing wrote:could you expand on the respective elemental structures?
As well as their hulls / armies?

As I get it they were discovered as according compounds,
but then will have completely coincident elements,
which thus form those blendes polytopes.

--- rk

The naq blend is in the barz army and the fy blend is in the bay army. I have yet to work out the hulls of the tiffy blend and riffy blend or their elements, but the former should be simple as they’re just the truncated and rectified fy blend, respectively.
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Re: Higher-Dimensional Monster Snubs

Postby Klitzing » Tue Sep 22, 2020 3:27 pm

okay
and then, which facets will be blended out? which will remain?
(within each case ...)

what makes you sure, that those now happen to be a true polytope instead of still being some potentially lesser-degree compound only?

--- rk
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Re: Higher-Dimensional Monster Snubs

Postby Mecejide » Wed Sep 23, 2020 12:44 am

In the naq case, 420 gees blend out, leaving 17280 heps and 3360 gees. In the fy case, 64800 zees blend out, leaving 4665600 ocas and 518400 zees.
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Re: Higher-Dimensional Monster Snubs

Postby Mecejide » Sat Sep 26, 2020 11:56 pm

Okay, the 270-riffy blend is in the borfy army.
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