Polyhedron model: Difference between revisions

Revision as of 12:54, 14 March 2006

Revision as of 23:20, 17 July 2006

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Construction begins by choosing a ''size'' of the model, either the ''length'' of its edges or the ''height'' of the model. The size will dictate the ''material'', the ''adhesive'' for edges, the ''construction time'' and the ''method of construction''.

The second decision involves colours. A single-colour cardboard model is easiest to construct -- and some models can be made by folding a pattern, a '''[[Net (polyhedron)|net]]''', on a single sheet of cardboard. Choosing colours requires geometric understanding of the polyhedron. One way is to colour each [[Face (mathematicsgeometry)|face]] differently. A second way is to colour all square faces the same, all pentagon faces the same, and so forth. A third way is to colour opposite faces the same. A fourth way is to a different colour each face clockwise a certain [[vertex]].

:For example, a 20-face [[icosahedron]] can use twenty colours, one colour, ten colours or five colours, respectively.