Square magnabicupolic ring (EntityTopic, 17)
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<[#ontology [kind topic] [cats Bicupolic_ring]]> | <[#ontology [kind topic] [cats Bicupolic_ring]]> | ||
{{STS Shape | {{STS Shape | ||
- | | image=<[# | + | | image=<[#embed [hash WYC8PWYW55BDYQA32GE1AJYVH6] [width 180]]> |
| dim=4 | | dim=4 | ||
| genus=0 | | genus=0 | ||
}} | }} | ||
- | The '''square magnabicupolic ring''' is a member of the family of [[bicupolic ring]]s, which contains eight other similar polychora. | + | The '''square magnabicupolic ring''' is a member of the family of [[bicupolic ring]]s, which contains eight other similar polychora. It can be constructed by the (partial) Stott expansion of the [[cubic pyramid]]. |
+ | |||
+ | ==Dichoral angles== | ||
+ | |||
+ | * Between square cupola and octagonal prism: 45° (exact) | ||
+ | * Between square pyramid and octagonal prism: 45° (exact) | ||
+ | * Between triangular prism and octagonal prism: acos(sqrt(2/3)) ≈ 35.264389682754654° | ||
+ | |||
+ | ==Coordinates== | ||
+ | |||
+ | <pre> | ||
+ | apacs<1, 1+sqrt(2)> ~ <±1, 0> | ||
+ | <±1, ±1, 0, 1> | ||
+ | </pre> | ||
+ | |||
+ | ==Software models== | ||
+ | |||
+ | *[[Polyview]] [http://hddb.teamikaria.com/dl/MW5QRTJ0EW4A80D2RWYMYG91J0.def .def file] | ||
+ | *[[Stella4D]] [http://hddb.teamikaria.com/dl/XECHA7C2M0FDGS3XQ6HSMG5NWF.off .off file] |
Latest revision as of 23:11, 23 May 2014
The square magnabicupolic ring is a member of the family of bicupolic rings, which contains eight other similar polychora. It can be constructed by the (partial) Stott expansion of the cubic pyramid.
Dichoral angles
- Between square cupola and octagonal prism: 45° (exact)
- Between square pyramid and octagonal prism: 45° (exact)
- Between triangular prism and octagonal prism: acos(sqrt(2/3)) ≈ 35.264389682754654°
Coordinates
apacs<1, 1+sqrt(2)> ~ <±1, 0> <±1, ±1, 0, 1>