2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.MG2013
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)…
math.MG2013
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…
math.MG2012★ 2 cited
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…