Rhodomesohedral rotunda (EntityTopic, 15)

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The '''icosidodecahedral rotunda''' is a [[CRF polychoron]], [[icosidodecahedron]] || enlarged [[dodecahedron]] || [[truncated dodecahedron]].
The '''icosidodecahedral rotunda''' is a [[CRF polychoron]], [[icosidodecahedron]] || enlarged [[dodecahedron]] || [[truncated dodecahedron]].
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== Coordinates ==
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    <(3+sqrt(5))/2, 0, 0, ±1>
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    <(3+sqrt(5))/2, 0, ±1, 0>
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    <(3+sqrt(5))/2, ±1, 0, 0>
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    <(3+sqrt(5))/2, ±(-1+sqrt(5))/4, ±1/2, ±(1+sqrt(5))/4>
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    <(3+sqrt(5))/2, ±1/2, ±(1+sqrt(5))/4, ±(-1+sqrt(5))/4>
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    <(3+sqrt(5))/2, ±(1+sqrt(5))/4, ±(-1+sqrt(5))/4, ±1/2>
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    <(2+sqrt(5))/2, 0, ±(-1+sqrt(5))/4, ±(5+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(5+sqrt(5))/4, 0>
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    <(2+sqrt(5))/2, ±(5+sqrt(5))/4, 0, ±(-1+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/2>
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    <(2+sqrt(5))/2, ±(1+sqrt(5))/4, ±(1+sqrt(5))/2, ±(-1+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±(1+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(1+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±(1+sqrt(5))/4, ±1, ±(3+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±1, ±(3+sqrt(5))/4, ±(1+sqrt(5))/4>
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    <(2+sqrt(5))/2, ±(3+sqrt(5))/4, ±(1+sqrt(5))/4, ±1>
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    <(3+3*sqrt(5))/4, 0, ±1/2, ±(3+sqrt(5))/4>
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    <(3+3*sqrt(5))/4, ±1/2, ±(3+sqrt(5))/4, 0>
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    <(3+3*sqrt(5))/4, ±(3+sqrt(5))/4, 0, ±1/2>
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    <(3+3*sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/4>
== Additional images ==
== Additional images ==

Revision as of 00:18, 15 March 2014

The icosidodecahedral rotunda is a CRF polychoron, icosidodecahedron || enlarged dodecahedron || truncated dodecahedron.

Coordinates 

   <(3+sqrt(5))/2, 0, 0, ±1>
   <(3+sqrt(5))/2, 0, ±1, 0>
   <(3+sqrt(5))/2, ±1, 0, 0>

   <(3+sqrt(5))/2, ±(-1+sqrt(5))/4, ±1/2, ±(1+sqrt(5))/4>
   <(3+sqrt(5))/2, ±1/2, ±(1+sqrt(5))/4, ±(-1+sqrt(5))/4>
   <(3+sqrt(5))/2, ±(1+sqrt(5))/4, ±(-1+sqrt(5))/4, ±1/2>

   <(2+sqrt(5))/2, 0, ±(-1+sqrt(5))/4, ±(5+sqrt(5))/4>
   <(2+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(5+sqrt(5))/4, 0>
   <(2+sqrt(5))/2, ±(5+sqrt(5))/4, 0, ±(-1+sqrt(5))/4>

   <(2+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/2>
   <(2+sqrt(5))/2, ±(1+sqrt(5))/4, ±(1+sqrt(5))/2, ±(-1+sqrt(5))/4>
   <(2+sqrt(5))/2, ±(1+sqrt(5))/2, ±(-1+sqrt(5))/4, ±(1+sqrt(5))/4>

   <(2+sqrt(5))/2, ±(1+sqrt(5))/4, ±1, ±(3+sqrt(5))/4>
   <(2+sqrt(5))/2, ±1, ±(3+sqrt(5))/4, ±(1+sqrt(5))/4>
   <(2+sqrt(5))/2, ±(3+sqrt(5))/4, ±(1+sqrt(5))/4, ±1>

   <(3+3*sqrt(5))/4, 0, ±1/2, ±(3+sqrt(5))/4>
   <(3+3*sqrt(5))/4, ±1/2, ±(3+sqrt(5))/4, 0>
   <(3+3*sqrt(5))/4, ±(3+sqrt(5))/4, 0, ±1/2>

   <(3+3*sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/4, ±(1+sqrt(5))/4>

Additional images

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Top view
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Side view
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Stereo top view
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External links

Retrieved from "http://hi.gher.space/wiki/Rhodomesohedral_rotunda"