A net of a polytope P is a planar pattern of polygons N that can
be folded by identifying edges of the boundary of N into polytope
1. Suppose that a complete set of nets is available for some polytope
P. Suppose vertex v of the polytope P is truncated so that the
resulting polytope P' has as regular a polygon as possible resulting
from the truncation at v. Is there any relation between the nets
of P' and the nets of P?
Test case: Find all the nets of a square pyramid. Find all the
nets which arise when the 4-valent vertex of the pyramid is truncated
to give a square.
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