Mathematics and Origami! Revolving that emerging cube 180º around side AB, and moving it, we get another small
emerging cube; this is shown at bottom left of Fig. 1 before its association to the big cube
by coincidence at H.
! Fig. 4 shows how a further growth of upper small cube will determine the appearance of
that cube through the face BHI.
! We have chosen a simple macle in order to ease the construction. To fold the big cube, see
Point 18.8.1.
! The fluorite, consisting of calcium fluoride (CaF 2 ) occurs in beautiful twin cubic crystals
of various morphologies.18.14.3 ARAGONITE
Calcium carbonate (CaCO 3 ) discovered in Molina de Aragón, Spain. It crystallises in
macles of hexagonal aspect, though it consists in orthorhombic crystals, see Fig. 1. Fig. 2 is the
macle ́s folding diagram.18.14.4 CUBE-OCTAHEDRIC MACLE
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