HalTrees
HalTrees are built from HalNodes. HalTrees are a new mathematical
system. There are no trees of this kind in mathematics. HalTrees are a
new concept.

This is a picture of a full HalTree. It can also be written as:
Out = f(S1, S2, S3, S4) or as Out = S1 + 3*S2 + 3*S3 + S4
Here is a sparse tree:

Out = F(S1,S2,S3,S4) = S1 o S2 o S3 o S4
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