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Within this paper we study the Minkowski sum of prisms (“Cephoids”) in a finite dimensional vector space. For a vector  $$a \in \mathbb{R}^n$$ with positive components we write  $${\bar{a}} = ({1\over \bar{a}_1}, \cdots , {1\over \bar{a}_n})$$ and denote by  $$\prod = \prod^{\bar{a}} = \{x \in \mathbb{R}^n | \langle \bar{a}, {\bf x} \rangle \leqslant 1, {\bf x} \geqslant 0 \}$$ the associated prism. We provide a representation of a finite sum of prisms in terms of inequalities.

Computing the Minkowski Sum of Prisms