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
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| image=<[#embed [hash WYC8PWYW55BDYQA32GE1AJYVH6] [width 180]]>
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The '''square magnabicupolic ring''' is a member of the family of [[bicupolic ring]]s, which contains eight other similar polychora.
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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]].
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==Dichoral angles==
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* Between square cupola and octagonal prism: 45° (exact)
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* Between square pyramid and octagonal prism: 45° (exact)
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* Between triangular prism and octagonal prism: acos(sqrt(2/3)) ≈ 35.264389682754654°
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==Coordinates==
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<pre>
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apacs<1, 1+sqrt(2)> ~ <±1, 0>
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<±1, ±1, 0, 1>
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</pre>
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==Software models==
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*[[Polyview]] [http://hddb.teamikaria.com/dl/MW5QRTJ0EW4A80D2RWYMYG91J0.def .def file]
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*[[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>

Software models