Square tripyramid (EntityTopic, 11)

From Hi.gher. Space

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<[#ontology [kind topic] [cats 5D Tapertope Flat]]>
{{STS Shape
{{STS Shape
| name=Square tripyramid
| name=Square tripyramid
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| elements=7, 19, 26, 19, 7
| elements=7, 19, 26, 19, 7
| genus=0
| genus=0
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| ssc=G4PP
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| ssc=G4PPP
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| ssc2=&&G4
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| ssc2=&&&G4
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| extra={{STS Rotope
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| extra={{STS Tapertope
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| attrib=pure
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| order=2, 3
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| notation=11<sup>3</sup> xy<sup>zwφ</sup>
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| notation=[11]<sup>3</sup>
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| index=58
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| index=57
}}}}
}}}}
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A '''square tripyramid''' is a special case of the [[pyramid]] where the base is a [[square dipyramid]]. It is also a special case of the [[dipyramid]] where the base is a [[square pyramid]] and a special case of the [[tripyramid]] where the base is a [[square]].
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A '''square dipyramid''' is a special case of the [[pyramid]] where the base is a [[square dipyramid]]. It is also a special case of the [[dipyramid]] where the base is a [[square pyramid]] and a special case of the [[tripyramid]] where the base is a [[square]].
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== Net ==
== Net ==
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{{Pentashapes}}
{{Pentashapes}}
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{{Rotope Nav|57|58|59|II<nowiki>''</nowiki>I<br>Square dipyramidal prism|<nowiki>II'''</nowiki><br>Square tripyramid|(II<nowiki>''</nowiki>I)<br>Square dipyramidal torus|tera}}
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{{Tapertope Nav|56|57|58|2<sup>3</sup><br>Tricone|[11]<sup>3</sup><br>Square tripyramid|13<sup>1</sup><br>Sphoninder|tera}}

Latest revision as of 23:07, 11 February 2014

A square tripyramid is a special case of the pyramid where the base is a square dipyramid. It is also a special case of the dipyramid where the base is a square pyramid and a special case of the tripyramid where the base is a square.

Net

The net of a square tripyramid is three square dipyramids attached at their bases with four tetrahedra each attached to another face of one of these pyramids.


Notable Pentashapes
Flat: pyroteronaeroterongeoteron
Curved: tritoruspentasphereglonecylspherindertesserinder


56. 23
Tricone
57. [11]3
Square tripyramid
58. 131
Sphoninder
List of tapertopes