# Tetrahedral prism (EntityTopic, 21)

(Difference between revisions)
 Revision as of 07:53, 22 September 2007 (view source)Keiji (Talk | contribs) (created page)← Older edit Latest revision as of 17:49, 19 September 2017 (view source) (Add FLD) (20 intermediate revisions not shown) Line 1: Line 1: - {{Shape|Tetrahedral prism|''No image''|4|6, 14, 16, 8|1|N/A|N/A|[[Line segment|E]][[Triangle|T]][[Tetrahedron|T]]E|121 xyzw|N/A|N/A|N/A|26|N/A|N/A|pure}} + <[#ontology [kind topic] [cats Uniform Prism Tapertope Bicupolic_ring]]> + {{STS Shape + | image=<[#embed [hash 2Y6EC6FJBFXCPWWPHGZ9G626QE] [width 120]]> + | name=Tetrahedral prism + | dim=4 + | elements=6, 15, 16, 8 + | genus=1 + | ssc=[xG3P] + | ssc2=+Kt1 + | extra={{STS Tapertope + | order=2, 2 + | notation=112 + | index=26 + }}{{STS Polytope + | dual=[[Tetrahedral bipyramid]] + | flayout={{FLD|dim=4|left=erev2|a3|line|a3|line2|a2tend2|end|e3}} + | bowers=Tepe + }}{{STS Uniform polytope + | vlayout=([[Triangle|3]][[Tetrahedron|3]])⋅([[Triangle|3]]⋅[[Square|4]]2)3 + | vfigure=[[Tetrahedron]] + }}}} + The '''tetrahedral prism''' is a special case of a [[prism]] where the base is a [[tetrahedron]]. It is also the ''[[Bicupolic ring|digonal orthobicupolic ring]]''.[http://teamikaria.com/hddb/forum/viewtopic.php?p=20174#p20174] It is bounded by two tetrahedra and four triangular prisms. - The '''tetrahedral prism''' is a special case of a [[prism]] where the base is a [[tetrahedron]]. + == Projections == + <[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]> + + <[#polytope [id 132]]> + + == Software models == + *[[Polyview]] [http://hddb.teamikaria.com/dl/ED8QPT5FPREVRS12QPT8JEDMVM.def .def file] + *[[Stella4D]] [http://hddb.teamikaria.com/dl/GZ0E6ETAVN7SG02GPPB6JCBM3M.off .off file] {{Tetrashapes}} {{Tetrashapes}} - {{Rotope Nav|25|26|27|(I'II)
Triangular prismidal torus|I''I
Tetrahedral prism|I'''
Pentachoron|chora}} + {{Tapertope Nav|25|26|27|1[11]1
Square pyramid prism|112
Tetrahedral prism|[111]1
Triangular prismic pyramid|chora}}

## Latest revision as of 17:49, 19 September 2017

The tetrahedral prism is a special case of a prism where the base is a tetrahedron. It is also the digonal orthobicupolic ring.[1] It is bounded by two tetrahedra and four triangular prisms.

## Incidence matrix

 # TXID Type Name Va Ea Eb 4a 3a C1a C2a 0 Va = point ; 1 Ea 2 = digon ; 2 Eb 2 = digon ; 3 4a 4 2 2 = square ; 4 3a 3 0 3 = triangle ; 5 C1a 6 3 6 3 2 = triangular prism ; 6 C2a 4 0 6 0 4 = base of prism: tetrahedron ; 7 H4.1a 8 4 12 6 8 4 2 = tetrahedral 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: pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron Powertopes: triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate Circular: glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder Torii: tiger • torisphere • spheritorus • torinder • ditorus

 25. 1[11]1Square pyramid prism 26. 112Tetrahedral prism 27. [111]1Triangular prismic pyramid List of tapertopes