A volume formula for Reuleaux polyhedra
Figure 2:These are two views of a Meissner polyhedronM=B(X∪e1∪e2∪e3)M=B(X\cup e_{1}\cup e_{2}\cup e_{3}), whereXXis the vertex set of a regular tetrahedron. The dual edge pairs are(e1,e1′),(e2,e2′)(e_{1},e_{1}^{\prime}),(e_{2},e_{2}^{\prime}), and(e3,e3′)(e_{3},e_{3}^{\prime}), andMMis obtained fromB(X)B(X)by performing su...