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A three-dimensional object can be represented in two dimensions by a projection (or perspective) drawing:
This page shows some projection drawings of collections of cubes. Although the drawings look different (in each case the cubes are arranged in a different pattern) they all have one thing in common. The perimeter of all of the drawings is the same. Each arrangement of cubes projects onto the same two-dimensional shape:
For each unique cell pattern in the array, a .gif was built and a two character code assigned:
The code for a cell pattern represents the orientation of cube faces that appear in that cell: F=Front, S=Side, T=Top and B for Background. So BT codes for a cell that contains background and the top of a cube and SS codes for a cell that contains just cube sides.
The perspective from which a cubic model is viewed will determine what cell patterns can be present. For example in the above drawing BS is not possible but SB is.
A complete drawing such as the one above is coded by the string
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