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2010•Unpublished venueRequires access

Investigation of Polyhedral Rings and Clusters with the Help of Physical Models and Wolfram Mathematica

Sándor Kabai

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Abstract

A cube is placed on each face of a rhombic triacontahedron (RT). In the cluster of 30 cubes produced in this manner, the cubes are connected at their vertices. With the use of physical models and the computer software Wolfram Mathematica, we study the possible geometrical features and relationships that can be associated with this geometrical sculpture. The purpose of this article is to introduce a method which is suitable for teaching a number of concepts by association to a single object.

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What this paper is about

A cube is placed on each face of a rhombic triacontahedron (RT). In the cluster of 30 cubes produced in this manner, the cubes are connected at their vertices. With the use of physical models and the computer software Wolfram Mathematica, we study the possible geometrical features and relationships that can be associated with this geometrical sculpture. The purpose of this article is to introduce a method which is suitable for teaching a number of concepts by association to a single object.

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Available abstract

A cube is placed on each face of a rhombic triacontahedron (RT). In the cluster of 30 cubes produced in this manner, the cubes are connected at their vertices. With the use of physical models and the computer software Wolfram Mathematica, we study the possible geometrical features and relationships that can be associated with this geometrical sculpture. The purpose of this article is to introduce a method which is suitable for teaching a number of concepts by association to a single object.

Key concepts: Cube (algebra), Polyhedron, Cluster (spacecraft), Sculpture, Software, Object (grammar), Computer graphics (images), Computer science

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