Gyrated octahedral prism (EntityTopic, 14)

From Hi.gher. Space

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{{STS Shape
{{STS Shape
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| dim=4
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| elements=?, 28, 30, 12
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| elements=12, 30, 30, 12
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<[#embed [hash 6AS4JTYMRW1YM1FXS2NXP52TBD]]>
<[#embed [hash 6AS4JTYMRW1YM1FXS2NXP52TBD]]>
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== Coordinates ==
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<±1, ±1, 0, ±1>
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<0,  0, √2, ±1>
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<0, ±1, -√2, 0>
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<[#polytope [id 68]]>

Latest revision as of 02:14, 23 February 2014

The gyrated octahedral prism or K4.13 is a 4D analogue of the gyrobifastigium, J26.

Here is a render as seen from <5,0,0,0>:

(image)

Here is a render as seen from <0,5,0,0>:

(image)

Coordinates 

<±1, ±1, 0, ±1>
<0,  0, √2, ±1>
<0, ±1, -√2, 0>

Incidence matrix

Dual: K4.13 dual

#TXIDVaVbEaEbEcEd3a3b4a4b4cC1aC2aC2bTypeName
0 Va = point ; cube corners
1 Vb = point ; ends
2 Ea 20 = digon ; around middle
3 Eb 20 = digon ; cube corners
4 Ec 11 = digon ; wall corners
5 Ed 02 = digon ; ends
6 3a 210120 = triangle ; wall corners
7 3b 211020 = triangle ; walls
8 4a 404000 = square ; in-out middle
9 4b 402200 = square ; around middle
10 4c 221021 = square ; walls
11 C1a 41224022010 = square pyramid ;
12 C2a 42404102102 = triangular prism ; in-out
13 C2b 42224120012 = triangular prism ; walls
14 H4.1a 848416288248444 = gyrated octahedral prism ;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.

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