The monad (from Greek “monos”: single) is a solid indivisible unit. The division of a monad into its constituent parts means its destruction. Examples of the monads:

The monads are built by the ideal harmony laws, which have no the mathematical background, and they can be expressed by the conditions (the electron mass, the proton mass, etc.).

The monads bring the harmony and order into the chaos of the world, creating the real-world objects, which are close to the ideal monads. The physical monads prevent infinite growth of the universe thermodynamic entropy, stabilizing the aether vortices, which produce the force fields, acting on the material particles.

A physical monad consists of the vortical physical fields (magnetic, velocity, etc.) with the poles, which are located at the regular polyhedra (Platonic solids) vertices. The main axis of the most powerful field passes through one of the pairs of the opposite poles.

The necessary requirements for a polyhedron, which provide the sustained field, are:

• "Dense packing" of the vertices, i.e. presence of the equilateral triangular faces, which provide maximum of the identical distances between the adjacent poles, and therefore the identical wavelengths.
• Presence of the right angles, which produce an effect of the corner reflector and the standing waves.
• Presence of the parallel faces, between which the standing waves also occur.
dense packing right angles parallel faces
tetrahedron $$\mathbf{+}$$ $$\mathbf{-}$$ $$\mathbf{-}$$
cube $$\mathbf{-}$$ $$\mathbf{+}$$ $$\mathbf{+}$$
octahedron $$\mathbf{+}$$ $$\mathbf{+}$$ $$\mathbf{+}$$
icosahedron $$\mathbf{+}$$ $$\mathbf{-}$$ $$\mathbf{+}$$
dodecahedron $$\mathbf{-}$$ $$\mathbf{-}$$ $$\mathbf{+}$$
stella octangula $$\mathbf{+}$$ $$\mathbf{+}$$ $$\mathbf{+}$$

The monad polyhedra, which have maximum of the necessary requirements, are:

1. Stella octangula with four pairs of poles and with the highest stability due to its tetrahedral structure.
2. Octahedron with three pairs of poles.
3. Icosahedron with six pairs of poles, and the lowest stability due to the absence of the right angles.