MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández

18.14.6 PYRITOHEDRON nº 2

This pyritohedric macle consists in a couple of pentagonal-dodechedra keeping the fol-

lowing relations (Fig. 1):

Each pentagonal base (upper and lower) is in parallel planes. One polyhedron becomes

the other by rotating the former 36º around the axis determined by the centers of those bases

(see Point 18.6.1). By so doing we may see how the second polyhedron emerges through the

first one ́s faces.

Fig. 1 shows in blank the first polyhedron whereas the second looms up: remark in

shade what is partially seen of one of the 10 lateral pentagonal faces of that second polyhedron.

At the end, what looms up out of the first dodecahedron are 10 wedges (actually, trun-

cated triangular prisms) like those of Fig. 6, Point 18.14.5. We are using now the wedges then

discarded.

7 8

D

2

G

F E

C

1