László Vörös
University of Pécs – Institute of Architecture

 

ABSTRACT
This paper gives a classification of Platonic and Archimedean solids related to more-dimensional cubes. A general infinite net structure for space-filling mosaics created from the above solids has been derived and the node elements for grid structures based on our groups of solids have been described within the frame of constructive geometry. The topic is related to arts and design and raises further geometrical questions.

KEY WORDS
Platonic and Archimedean Solids, hypercube, convex uniform honeycomb, tessellation, design

 

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SAJ Vol. 3, 2011, No. 2