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Now we could give the definition of hetero numbers.

Hetero numbers HN are defined as …,  HN := …
with addition defined by [Cone A]R + [Cone B]R := …

Recall that …


Shown below are some examples.

In the left example, there is no “Boundary” triangle and the equivalent class of the cone is a hetero number.

In the middle example, there are two “Boundary” triangles (colored yellow) and the equivalent class of the cone is not a hetero number.

In the right example, there is no “Boundary” triangle and the equivalent class of the cone is a hetero number.