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Abstract

With the introduction of ‘sponge polyhedra’, the polyhedral universe has exploded to ‘cosmological proportions’.

‘The Periodic Table of the Polyhedral Universe’ was conceived to provide an overview, deal with it's evolving complexity and to gain insights into it's defining topological-symmetrical – structural properties, their hierarchical characteristics and order.

Arranged on the basis of primary parameters, considered to be Val., Σα & g , a Cartesian environment is constructed in which every polyhedron has a unique point representation and all shared properties are posing as mathematically embraced location patterns.

The article claims to resolve the apparent dichotomy between space lattice configurations and polyhedral tessellations, thus permitting the lattices to share in the ‘Periodic Table’ and benefit from its insights.

Keywords

Sponge Surface Surface Tessellation Uniform Polyhedra Spherical Toroidal Hyperbolical Sponge Polyhedra Uniform Networks Primary Parameters Periodic Table Location Pattern Polyhedral Universe.

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