CUBE - SPLITTING.
In the beginning is the CROSSED BOX PLEAT.
This CBP grew into a FLOWER, actually two flowers, one
of them is done with the paper white side up. and the other
with colored side up. The flower developed into the fruit
of the flower: a cube, a CUBE FRUIT, in the middle of four
petals, a kind of square melon, which is conveniently
space-saving in packing economy.
Considering the cube as a fruit having a peel or shell
or skin, this can be taken of in two equal sections:
HALF CUBE SKIN.
The meat of this cube fruit can be split in many different
ways. In some species they split along the diagonals of two
opposite sides into HALFCUBES. These HALFCUBES
can be combined in a long string like the well-known
By combining the two halfcubes into a new shape that
I call DISPLACED HALFCUBES, I get a new unit by taping
two mirrored pieces together and then tape six of these units
(12 pieces) together in a ring, with interesting and unexpected
movements when flexed.
Another way of splitting this most curious fruit is by cutting
off corners as large as possible, which means right up to the
diagonals of the three sides.
You then get four CUBE CORNERS.
The rest of the fruit is shaped like a tetrahedron, which can
be split into two equal HALF TETRAHEDRA.
They are known as the pyramid puzzle, because of the fact,
that some people have difficulties in seeing the way in which
they form a tetrahedron.
If the cube is split along its four diagonals, six PYRAMIDS
become the result, and if these are hinged along five edges,
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