Symmetrical Combinations of Three or Four Hollow Triangles

  • H. S. M. Coxeter


A hollow triangle is the planar region bounded by two homothetic and concentric equilateral triangles, that is, a flat triangular “ring.” The edges of the inner triangle are half as long as those of the outer triangle. We will look at two striking constructions in three-space made from such figures.


Equilateral Triangle Golden Ratio Trigonal Symmetry Icosahedral Group Symmetrical Combination 
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© Springer Science+Business Media New York 2001

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  • H. S. M. Coxeter

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