Mathematica 7

164_Morley's Miracle

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. 

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163_RD_PD

Based on the idea by Lajos Szilassi.

Szilassi Lajos ötlete alapján készült.

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162_TetSer

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161:rtrt

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160_TetFract

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159_IcoTet20

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158_dodod

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157_Cluster92

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)

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156_tet6Cube

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155_tet48RDpyr24

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