Shape

293 Erasing and Identity
and an identity to resolve this square
then the following topology (decomposition)
is defined. This time I’ve shown the topology as a lattice. It’s easy to see that the right
angle of the triangle and a corner of the square are distinguished. But other parts of the
triangle and the square go completely unnoticed. If I recognize complements in addition
to the parts I resolve when I use the identities, then a Boolean algebra is defined
that has these four atoms
The first three give me what I want. Now the triangle and the square have two parts
apiece and a common angle
Of course, I can always apply the identities everywhere I can. This determines another
Boolean algebra with the twenty-four atoms