Compound of cube and octahedron: Difference between revisions

Revision as of 21:39, 20 December 2017

Revision as of 01:24, 12 February 2018

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!bgcolor=#e7dcc3 colspan=2|Compound of cube and octahedron

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|align=center colspan=2|[[Image:CompoundPolyhedron ofpair cube and octahedron6-8.png|220px]]

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|bgcolor=#e7dcc3|Type||[[Polyhedral compound|Compound]]

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This can be seen as the three-dimensional equivalent of the compound of two squares ({8/2} "[[octagram]]"); this series continues on to infinity, with the four-dimensional equivalent being the [[compound of tesseract and 16-cell]].

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If this is mapped onto a sphere and every crossing of two edges is then considered to be a vertex, a [[deltoidal icositetrahedron]] is formed.

{{multiple image

:[[File:Spherical deltoidal icositetrahedron.png|160px]]

| align = left | total_width = 700

| image2 = Polyhedron pair 6-8 from blue.png |width2=1|height2=1

| image3 = Polyhedron pair 6-8 from green.png |width3=1|height3=1

| image4 = Polyhedron pair 6-8 from red.png |width4=1|height4=1

| footer = Seen from 2-fold, 3-fold and 4-fold symmetry axes

}}

| [[File:Polyhedron small rhombi 6-8 dual max.png|thumb|If the edge crossings were vertices the mapping on a sphere would be the same as that of a [[deltoidal icositetrahedron]].]]

|}

{{-}}

== As a stellation ==