FreemasonryGPT

How can you use the triple tau as a mnemonic to calculate the properties of all Platonic solids?

The Triple Tau serves as a mnemonic in Freemasonry to calculate the properties of the Platonic solids by leveraging its geometric structure and the relationships between its angles. The Triple Tau consists of eight right angles, totaling 720 degrees, which corresponds to the Tetrahedron, one of the five Platonic solids. Here’s how it relates to each solid:

• Tetrahedron: Composed of four equilateral triangles, the total interior angles equal 720 degrees, matching the Triple Tau.
• Octahedron: Contains eight triangles, totaling 1440 degrees, which is double the value of the Triple Tau.
• Cube (Hexahedron): Composed of six squares, the total angles equal 2160 degrees, three times the value of the Triple Tau.
• Icosahedron: Contains twenty triangles, totaling 3600 degrees, five times the value of the Triple Tau.
• Dodecahedron: Composed of twelve pentagons, totaling 5040 degrees, which corresponds to nine times the value of the Triple Tau.

Thus, the Triple Tau not only aids in recalling the relationships between the angles of different Platonic solids but also emphasizes the unity and interconnectedness of these geometric forms within Masonic teachings.