algorithmic modeling for Rhino
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Mathematically, it appears there are only 3 different kinds of connectors, because there are only three kinds of pipe lengths. The Pentagonal which connects to only the short segments, a hexagonal, which connects only to the longest segments and common hexagonal which connects to all three segments and it is the most numerous connector. Ultimately, these connectors and segments should be color coded for simple assembly. My goal is that a group of kindergarten kids could figure it out without help.