oo5/2oo3xo5/2ox3*b &#x - height = sqrt[(sqrt(5)-1)/2] = 0.786151
o.5/2o.3o.5/2o.3*b & | 240 | 60 12 | 60 30 90 | 12 20 80 30 | 1 13 20
-------------------------+-----+-----------+----------------+------------------+----------
.. .. x. .. & | 2 | 7200 * | 2 1 1 | 1 2 2 1 | 1 1 2
oo5/2oo3oo5/2oo3*b &#x | 2 | * 1440 | 0 0 10 | 0 0 10 5 | 0 2 5
-------------------------+-----+-----------+----------------+------------------+----------
.. o.3x. .. & | 3 | 3 0 | 4800 * * | 1 1 1 0 | 1 1 1
.. .. x.5/2o. & | 5 | 5 0 | * 1440 * | 0 2 0 1 | 1 0 2
.. .. xo .. &#x & | 3 | 1 2 | * * 7200 | 0 0 2 1 | 0 1 2
-------------------------+-----+-----------+----------------+------------------+----------
o.5/2o.3x. .. & | 12 | 30 0 | 20 0 0 | 240 * * * | 1 1 0 gike
.. o.3x.5/2o.3*b & | 20 | 60 0 | 20 12 0 | * 240 * * | 1 0 1 sidtid
.. oo3xo .. &#x & | 4 | 3 3 | 1 0 3 | * * 4800 * | 0 1 1 tet
.. .. xo5/2ox &#x | 10 | 10 10 | 0 2 10 | * * * 720 | 0 0 2 stap
-------------------------+-----+-----------+----------------+------------------+----------
o.5/2o.3x.5/2o.3*b & | 120 | 3600 0 | 2400 720 0 | 120 120 0 0 | 2 * * sitpodady
oo5/2oo3xo .. &#x & | 13 | 30 12 | 20 0 30 | 1 0 20 0 | * 240 * gikepy
.. oo3xo5/2ox3*b &#x | 40 | 120 60 | 40 24 120 | 0 2 40 12 | * * 120 sidtidap
username5243 wrote:So swavathi alterprism (swavathia?) should have as facets then: 2 swavathis, 120 siicups, and 240 gid || tiggy segmentochora ("gidatiggy"). And will exist, given it's just a suitable expansion of that last one.
And I think the other group will have as facets:
Sidtaxhiap: 2 sidtaxhis, 120 sidtidaps, 1200 pens
Wavhiddixa: 2 wavhiddixes, 120 siidcups, 1200 octatuts
Stut Phiddixa: 2 stut phiddixes, 120 sidtidaps, 1200 tetacoes, 720 stappips (5/2 antiprism prism)
Sphiddixa: 2 sphiddixes, 120 siidcups, 1200 tutatoes, 720 stappips
In addition, there are two regular polychora with hyic symmetry that are self-dual, gohi and gashi, that could form alterprisms (or maybe just antiprisms?) in 5d, gohi and gashi. I think Klitzing worked it out, and while the gohi case seems to be degenerate, the gashi case does work. Maybe there are more alterprisms found in those groups (o5o5/2o5o and o5/2o5o5/2o)?
username5243 wrote:Not what I was referring to, I was wondering about the possibility of taking other truncates from those families (such as righi or ragishi) and constructing alterprisms from them (for instance, righi alterprism = oo5xo5/2ox5oo&#x). Does anything of this sort work?
username5243 wrote:Not what I was referring to, I was wondering about the possibility of taking other truncates from those families (such as righi or ragishi) and constructing alterprisms from them (for instance, righi alterprism = oo5xo5/2ox5oo&#x). Does anything of this sort work?
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