Square octagoltriate (EntityTopic, 11)

From Hi.gher. Space

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{{Shape
{{Shape
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| image=http://fusion-global.org/share/g2960.png<br>Orthagonal projection
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| image=http://fusion-global.org/share/g3983.png<br>Graph
| dim=4
| dim=4
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| elements=?, 80, 80, 32
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| elements=32, 80, 80, 32
| genus=0
| genus=0
| 20=SSC
| 20=SSC
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The '''square octagoltriate''' is a [[powertope]] formed by taking the [[octagon]] of the [[square]]. It is therefore the [[convex hull]] of two [[irregular]] [[tesseracts]], each being the [[duoprism]] of squares of side 1 and 1+√2, oriented in opposite axes.
The '''square octagoltriate''' is a [[powertope]] formed by taking the [[octagon]] of the [[square]]. It is therefore the [[convex hull]] of two [[irregular]] [[tesseracts]], each being the [[duoprism]] of squares of side 1 and 1+√2, oriented in opposite axes.
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The [[orthagonal projection]] displayed on the right is '''not''' a [[graph]] as 8 [[vertices]] are not displayed because they overlap 8 others. These are the 8 in the middle.
 
{{Tetrashapes}}
{{Tetrashapes}}
[[Category:Uniform octagoltriachora]]
[[Category:Uniform octagoltriachora]]

Revision as of 11:46, 18 November 2007

Template:Shape

The square octagoltriate is a powertope formed by taking the octagon of the square. It is therefore the convex hull of two irregular tesseracts, each being the duoprism of squares of side 1 and 1+√2, oriented in opposite axes.


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus