There are five regular polyhedrons : the four-sided tetrahedron; the six-sided cube; the eight-sided octahedron; the 12-sided dodecahedron, and the 20-sided icosahedron .)
22.
Although a cube is the only regular polyhedron that admits of tessellation, many non-regular 3-dimensional shapes can tessellate, such as the truncated octahedron.
23.
It's the bit about Ancient Egyptians and complex regular polyhedrons ( or CR4P, as it's said to be ) that's got my hoax-radar bleeping.
24.
The sum of the distances from any point in the interior of a regular polyhedron to the sides is independent of the location of the point.
25.
:Take a regular polyhedron and cut it into two unequal pieces, you'll get two irregular polyhedra .-- talk ) 19 : 04, 19 August 2012 ( UTC)
26.
Its occurrence in regular pentagons and decagons was duly observed, as well as in the dodecahedron ( a regular polyhedron whose twelve faces are regular pentagons ).
27.
A regular polyhedron is used because it can be built from a single basic unit protein used over and over again; this saves space in the viral genome.
28.
In the 20th century, chemists began to inquire whether molecules representing the " platonic solids " could be constructed by arraying atoms at each corner of regular polyhedrons.
29.
The spherical tiling corresponding to a regular polyhedron is obtained by forming the barycentric subdivision of the polyhedron and projecting the resulting points and lines onto the circumscribed sphere.
30.
They can be seen as red faces of one regular polyhedron, yellow or green faces of the dual polyhedron, and blue faces at the truncated vertices of the quasiregular polyhedron.
