Square magnabicupolic ring (EntityTopic, 17)

From Hi.gher. Space

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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>

Revision as of 19:45, 27 March 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>