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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, called a '''[[net (polyhedron)|net]]''', from a single sheet of cardboard. Choosing colours requires geometric understanding of the polyhedron. One way is to colour each [[face (geometry)|face]] differently. A second way is to colour all square faces the same, all pentagonal faces the same, and so forth. A third way is to colour opposite faces the same. Many polyhedra are also coloured such that no same-coloured faces touch each other along an edge or at a vertex.
:For example, a 20-face [[icosahedron]] can use twenty colours, one colour, ten colours, or
An alternative way for [[polyhedral compound]] models is to use a different colour for each polyhedron component.
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