Extrusion and boundary evaluation for multidimensional polyhedra (Q2277810)

The authors present a representation paradigm for high dimensional polyhedra based on well-known tools from algebraic topology. Closed formulas are given to (i) generate a \((d+1)\)-dimensional polyhedron obtained by linear affine extrusion of a d-dimensional polyhedron, (ii) generate a polyhedral approximation of the curved polyhedron generated by rotational extrusion, and (iii) evaluate the boundary of a given decompositive representation of a d-polyhedron.