9 citations · 11 across the 4 of their papers we have counts for
5 papers
Golden, Quasicrystalline, Chiral Packings of Tetrahedra
Fang Fang, Garrett Sadler, Julio Kovacs +1
Since antiquity, the packing of convex shapes has been of great interest to many scientists and mathematicians. Recently, particular interest has been given to packings of three-di…
An Icosahedral Quasicrystal as a Packing of Regular Tetrahedra
F. Fang, J. Kovacs, G. Sadler +1
We present the construction of a dense, quasicrystalline packing of regular tetrahedra with icosahedral symmetry. This quasicrystalline packing was achieved through two independent…
Cabinet of curiosities: the interesting geometry of the angle β = arccos((3ϕ - 1)/4)
Fang Fang, Klee Irwin, Julio Kovacs +1
In this paper we present the construction of several aggregates of tetrahedra. Each construction is obtained by performing rotations on an initial set of tetrahedra that either (1)…
Periodic modification of the Boerdijk-Coxeter helix (tetrahelix)
Garrett Sadler, Fang Fang, Julio Kovacs +1
The Boerdijk-Coxeter helix is a helical structure of tetrahedra which possesses no non-trivial translational or rotational symmetries. In this document, we develop a procedure by w…
The Sum of Squares Law
Julio Kovacs, Fang Fang, Garrett Sadler +1
We show that when projecting an edge-transitive N-dimensional polytope onto anM-dimensional subspace of R^N, the sums of the squares of the original and projected edges are in the…