Almost 100 years ago,Frank Morley proved a curious theorem from elementary geometry that unbelievably remained unknown until 1899. With time,the theorem became known in mathematical folklore as Morley's Miracle (Morley's Trisector Theorem is a more mundane term.) The theorem states that:
The three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle.
Clusters of 92 polyhedra produced in three different way:
1. Placing polyhedron at the vertices and edges of RT. (32+60)
2. Placing polyhedron at the vertices of icosahedron, dodecahedron and truncated icosahedron. (12+20+60)
3. Placong polyhedron at the vertices of truncated icosahedron and rhombic triacontahedron. (32+60)