In the context of Freemasonry, particularly within the Holy Royal Arch, the Platonic Bodies are represented through various symbols and geometrical forms. The Triple Tau, for instance, is a significant symbol in the Royal Arch that serves as a mnemonic for calculating the Platonic Solids. Each of the Platonic Solids corresponds to a specific number of right angles, which can be measured using the Keys represented by the Triple Tau. For example, the Tetrahedron corresponds to the number of right angles represented by the Triple Tau, while the Cube and the Icosahedron correspond to different combinations of these Keys.
In the Craft and Mark degrees, while there may not be direct equivalents to the Platonic Bodies, the symbolism and teachings of these degrees often reflect similar themes of geometry and the nature of the universe. The Mark Degree, for instance, is closely associated with the Fellow Craft degree and serves to further illuminate the structure and symbolism of the Craft degrees. Thus, while the specific representations may differ, the underlying principles of geometry and the exploration of divine creation remain consistent across these degrees.