Abstract
In their stimulating paper [1], to which we here make a friendly and constructive response the authors, Branko Grunbaum and Geoffrey Shephard, introduce the interesting geometric concept of polyhedral set, generalizing the familiar notion of polyhedron, but confining themselves, for their present purposes, to subsets of 1R3. They discuss dissections of such sets, especially relatively open convex dissections of bounded polyhedral sets and show, by easily accessible arguments, the nice properties of the Euler characteristic X relative to such dissections. They are thereby led to a formula for X(P), namely, Theorem 4 of [1],
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