of Homogeneous Partitioninys of Space, 85 



Dodecahedral partitioning. — (a) The regular rhombo-do- 

 decahedron is deformed by a stress acting in the direction of 

 its crystallographic axis, i. e. the axis passing through two 

 opposite four-faced corners. In this position it may be 



Fig. 1. 



looked upon as a combination of the tetragonal pyramid with 

 the tetragonal prism of the other order, and the deformed 

 polyhedron retains this general character. We assume that 

 all edges remain equal, so that the deformed polyhedron 

 will be bounded by rhombs of two kinds, eight belonging to 

 the pyramid and four to the prism (fig. 2, a & b). 



(b) The regular rhombo-dodecahedron is deformed by a 

 stress acting in the direction of the axis passing through two 

 opposite three-faced corners. In this position it may be 

 looked upon as a combination of the hexagonal prism with 

 a rhombohedron, and the deformed polyhedron retains this 



