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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…