TOPICS
Search

Chamfered Icosahedron


ChamferedIcosahedron

A chamfered icosahedron, also called a tritruncated rhombic triacontahedron, is a polyhedron obtained by chamfering a regular icosahedron. The illustration above shows increasing amounts of chamfering applied to the regular icosahedron.

ChamferedIcosahedronEquilateral

An equilateral chamfered icosahedron may be constructed by appropriate choice of the edge length ratio for chamfering. The unit equilateral chamfered icosahedron has surface area given by the root on an 8th-order polynomial, volume

 V=(65)/4+(41sqrt(5))/(12)+sqrt((745+229sqrt(5))/2),

and is implemented in the Wolfram Language as PolyhedronData["EquilateralChamferedIcosahedron"].


See also

Chamfered Polyhedron, Regular Icosahedron

Explore with Wolfram|Alpha

References

McCooey, D. I. "Chamfered Icosahedron." http://dmccooey.com/polyhedra/ChamferedIcosahedron1.html.

Cite this as:

Weisstein, Eric W. "Chamfered Icosahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChamferedIcosahedron.html

Subject classifications