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...f>[http://www.interocitors.com/polyhedra/Triamonds Convex Triamond Regular Polyhedra]</ref> == Related polyhedra == ...

...mbic prisms are removed, you can create a [[toroidal polyhedron]] with all regular polygon faces. == Related polyhedra == ...

As a [[zonohedron]], it can be constructed with all but 30 octagons as [[regular polygon]]s. It is 2-uniform, with 2 sets of 120 vertices existing on two di == Related polyhedra== ...

[[File:Star polygon 9 4.png|thumb|The boundary of the regular [[Enneagram (geometry)|enneagram]] {9/4} winds around its centre 4 times, s ...dimensional features, and counting how many facets it passes through. For polyhedra for which this count does not depend on the choice of the ray, and for whic ...

...tion, but the faces of a thirteen-sided shape do not, so there cannot be a regular tridecahedron.</ref><ref>[https://www.mathsisfun.com/geometry/platonic-soli ...ttp://www.numericana.com/data/polycount.htm Counting polyhedra]</ref> (Two polyhedra are "topologically distinct" if they have intrinsically different arrangeme ...

As a [[zonohedron]], it can be constructed with all but 12 octagons as [[regular polygon]]s. It has two sets of 48 vertices existing on two distances from i ...e, and 24 [[triangular prism]]s. <ref>{{Cite web|url=http://www.doskey.com/polyhedra/PrismExpansions.html|title = Prism Expansions}}</ref> It has 148 faces (8 t ...

Like other right pyramids with a regular polygon as a base, this pyramid has [[pyramidal symmetry]] of [[cyclic grou ...vp.html Virtual Reality Polyhedra] www.georgehart.com: The Encyclopedia of Polyhedra ...

{{Uniform polyhedra db|Uniform dual polyhedron stat table|DD}} ...5-fold symmetry (i.e. each corresponds to one of the 12 vertices of the [[regular icosahedron|icosahedron]]). This means that on each axis there is an inner ...

|+ Icosahedral Goldberg polyhedra, {{nobr|with pentagons in red}} ...osahedral symmetry ensures that the pentagons are always [[regular polygon|regular]] and that there are always 12 of them. If the vertices are not constrained ...

...f mathematics]], concerning the work of [[René Descartes]] on [[polyhedron|polyhedra]]. Central to the book is the disputed priority for [[Euler's polyhedral fo ''Descartes on Polyhedra'' was written by [[Pasquale Joseph Federico]] (1902–1982), and published po ...

...lyhedron]] with all regular polygon faces.<ref>[http://www.orchidpalms.com/polyhedra/rhombic/RD/XRD-dissection.htm A Dissection of the Expanded Rhombic Dodecahe == Related polyhedra== ...

|colspan=2 align=center|[[Dual uniform polyhedra]] ...icosahedron''') are visually identical [[Dual polyhedron|dual]] [[uniform polyhedra]]. The exterior surface also represents the '''[[The Fifty-Nine Icosahedra| ...

== Related polyhedra == ...[[600-cell]], one of six [[Convex regular 4-polytope#Visualizations|convex regular 4-polytopes]], into 3 dimensions. ...

|bgcolor=#e7dcc3|Polyhedra||4 digonal antiprisms ([[Regular tetrahedron|tetrahedra]]) ...he uniform compound of four tetrahedra, with each color representing one [[regular tetrahedron]]: ...

...much later [[Branko Grünbaum]] looked at regular skew faces.<ref>Abstract regular polytopes, p.7, p.17</ref> ...lyhedra that span 3-space or higher are called [[regular skew apeirohedron|regular skew apeirohedra]]. ...

...]] [[decagon]]. Seen from the solid's 5-fold symmetry axis it looks like a regular decagon. Every pair of consecutive sides belongs to one pentagon (but no tr ==Regular polyhedra== ...

{{Uniform polyhedra db|Uniform dual polyhedron stat table|Seside}} .... In other words, by adding a shallow pentagonal pyramid to each face of a regular dodecahedron, we get a pentakis dodecahedron. By adding an even shallower t ...

{{Uniform polyhedra db|Uniform dual polyhedron stat table|gID}} ...ith [[pyritohedral symmetry]]) and the corresponding [[dual compound]]s of regular solids on the left ...

Rhombi with this shape form the faces of several notable polyhedra. :which is also the [[dihedral angle]] of the [[Regular dodecahedron|dodecahedron]].<ref>{{citation ...

{{See also|Regular map (algebraic geometry)}} [[File:Hexagonal Hosohedron.svg|thumb|The hexagonal [[hosohedron]], a regular map on the sphere with two vertices, six edges, six faces, and 24 flags.]] ...