Filling a Regular Icosahedron with Infinitely Many Golden Octahedra
Filling a Regular Icosahedron with Infinitely Many Golden Octahedra
A regular icosahedron can be considered as the assembly of 20 golden tetrahedra (tetrahedral part of a golden rhombus), and each golden tetrahedron can be filled with infinitely many golden octahedra. Therefore, an icosahedron can be filled with infinitely many golden octahedra. This Demonstration shows the initial steps of the construction.
External Links
External Links
Permanent Citation
Permanent Citation
Sándor Kabai
"Filling a Regular Icosahedron with Infinitely Many Golden Octahedra"
http://demonstrations.wolfram.com/FillingARegularIcosahedronWithInfinitelyManyGoldenOctahedra/
Wolfram Demonstrations Project
Published: November 11, 2014