Square pyramid prism (EntityTopic, 20)

From Hi.gher. Space

(Difference between revisions)
m (pyramidal->pyramid)
m (+polytope)
 
(7 intermediate revisions not shown)
Line 1: Line 1:
 +
<[#ontology [kind topic] [cats Prism Bicupolic_ring Tapertope]]>
{{STS Shape
{{STS Shape
-
| name=Square pyramidal prism
+
| image=<[#embed [hash 3NWJRDYM6HJXT8XWXVHRTK4HH2] [width 120]]>
| dim=4
| dim=4
| elements=7, 18, 21, 10
| elements=7, 18, 21, 10
Line 11: Line 12:
| index=25
| index=25
}}}}
}}}}
 +
The '''square pyramid prism''' is a special case of a [[prism]] where the base is a [[square pyramid]]. It is also the ''[[Bicupolic ring|digonal magnabicupolic ring]]''.[http://teamikaria.com/hddb/forum/viewtopic.php?p=20174#p20174]
 +
 +
== Projections ==
 +
<[#embed [hash 7MSXEHF987BEYYGJRWQPE8V02D]]>
 +
 +
<[#polytope [id 136]]>
 +
 +
==Software models==
 +
*[[Polyview]] [http://hddb.teamikaria.com/dl/CNZ3G6SS24RSWJ3TDMP2J73P32.def .def file]
 +
*[[Stella4D]] [http://hddb.teamikaria.com/dl/XMCWC0ZBV19TG7S2GQ1MGZCP7E.off .off file]
{{Tetrashapes}}
{{Tetrashapes}}
{{Tapertope Nav|24|25|26|12<sup>1</sup><br>Coninder|1[11]<sup>1</sup><br>Square pyramid prism|11<sup>2</sup><br>Tetrahedral prism|chora}}
{{Tapertope Nav|24|25|26|12<sup>1</sup><br>Coninder|1[11]<sup>1</sup><br>Square pyramid prism|11<sup>2</sup><br>Tetrahedral prism|chora}}
-
 
-
[[Category:Prismachora]]
 

Latest revision as of 20:39, 13 March 2016

The square pyramid prism is a special case of a prism where the base is a square pyramid. It is also the digonal magnabicupolic ring.[1]

Projections

(image)

Incidence matrix

Dual: square pyramid bipyramid

#TXIDVaVbEaEbEcEd4a4b3a4cC1aC2aC3aTypeName
0 Va = point ;
1 Vb = point ;
2 Ea 20 = digon ;
3 Eb 02 = digon ;
4 Ec 11 = digon ;
5 Ed 02 = digon ;
6 4a 221120 = square ;
7 4b 040202 = square ;
8 3a 120021 = triangle ;
9 4c 040004 = square ;
10 C1a 2412422120 = triangular prism ;
11 C2a 0804080402 = cube ;
12 C3a 1400440041 = base of prism: square pyramid ;
13 H4.1a 2814884482412 = square pyramid prism ;

Usage as facets

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

Software models


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


24. 121
Coninder
25. 1[11]1
Square pyramid prism
26. 112
Tetrahedral prism
List of tapertopes