The Three Frequency Figures are formed by taking each of the platonic solids and cutting each of their segments into three pieces. The segments are cut in such a way that when reconnected all sides are the same length. An easier way to look at this is imagine cutting the corners off of each of the platonic solids.
Tetrahedron to Truncated Tetrahedron
Hexahedron to Truncated Hexahedron
Octahedron to Truncated Octahedron
Dodecahedron to Truncated Dodecahedron
Icosahedron to Truncated Icosahedron
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