Abstract
The calotte condition is the projective condition that a cycle of lines radiating from the vertices of a planen-gon be the correct projection of a ring of faces surrounding ann-gonal piece of plane in space, the spatial figure being not entirely coplanar. This condition can be expressed as a homogeneous bracket polynomial. In general, this polynomial is not Cayley factorable. Henry Crapo conjectured that it becomes so when multiplied by a product ofnź4 brackets. It is the purpose of this article to prove this conjecture.
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