imported>Eancheta8352664: convexx hull

2025-06-08T04:31:10Z

convexx hull

New page

{{Short description|Polyhedral compound}}
{| class=wikitable style="float:right; margin-left:8px; width:250px"
!bgcolor=#e7dcc3 colspan=2|Compound of four hexagonal prisms
|-
|align=center colspan=2|[[Image:UC38-4 hexagonal prisms.png|200px]]
|-
|bgcolor=#e7dcc3|Type||[[Uniform polyhedron compound|Uniform compound]]
|-
|bgcolor=#e7dcc3|Index||UC38
|-
|bgcolor=#e7dcc3|Polyhedra||4 [[hexagonal prism]]s
|-
|bgcolor=#e7dcc3|Faces||8 [[hexagon]]s, 24 [[Square (geometry)|squares]]
|-
|bgcolor=#e7dcc3|Edges||72
|-
|bgcolor=#e7dcc3|Vertices||48
|-
|bgcolor=#e7dcc3|[[Symmetry group]]||[[Octahedral symmetry|octahedral]] (''O''h)
|-
|bgcolor=#e7dcc3|[[Subgroup]] restricting to one constituent||3-fold [[Dihedral symmetry in three dimensions|antiprismatic]] (''D''3d)
|}
This [[uniform polyhedron compound]] is a symmetric arrangement of 4 [[hexagonal prism]]s, aligned with the axes of threefold rotational symmetry of an [[octahedron]]. It shares the same [[vertex arrangement]] as a nonuniform [[rhombicuboctahedron]].

== Cartesian coordinates ==
[[Cartesian coordinates]] for the vertices of this compound are all the permutations of

: (±1, ±(1−{{radic|6}}), ±(1+{{radic|6}}))

== References ==
*{{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=[[Mathematical Proceedings of the Cambridge Philosophical Society]]|volume=79|issue=3|pages=447–457|year=1976|doi=10.1017/S0305004100052440|mr=0397554}}.

{{DEFAULTSORT:Compound Of Four Hexagonal Prisms}}
[[Category:Polyhedral compounds]]

{{polyhedron-stub}}

Compound of four hexagonal prisms - Revision history

imported>Eancheta8352664: convexx hull