Therefore, it is a counterexample to the Tait's conjecture that every 3-regular polyhedron has a Hamiltonian cycle.
12.
It is the only self-dual regular polyhedron.
13.
A regular polyhedron that has " q " regular p-sided vertex is represented by { p, q }.
14.
The dual of a regular polyhedron is regular, while the dual of an Archimedean solid is a Catalan solid.
15.
A regular polyhedron compound can be defined as a compound which, like a regular polyhedron, is vertex-transitive, edge-transitive, and face-transitive.
16.
A regular polyhedron compound can be defined as a compound which, like a regular polyhedron, is vertex-transitive, edge-transitive, and face-transitive.
17.
You can't arrange 5 points evenly into a regular polyhedron talk ) 21 : 48, 2 June 2010 ( UTC)
18.
In his class Geometry for Artists, Dehn introduced students to geometric concepts such as spheres and regular polyhedrons.
19.
However, the edges are probably not uniform, nor the faces, meaning the object is certainly possible, its just not a regular polyhedron.
20.
A common type of multiple dial has sundials on every face of a Platonic solid ( regular polyhedron ), usually a cube.
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