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enhancementNew feature or requestNew feature or requestmaththis issue requires implementing pure mathsthis issue requires implementing pure mathspriority: lowuximproves user experienceimproves user experience
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Description
Similar to #12 and #13, we should implement a builder pattern for cubical complexes with canonical orientation. For cubical complexes, we work with elementary cubes. An n-cube can be written as a product of intervals
A degenerate interval
A non-degenerate interval
The incidence
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$[b:a] = (-1)^k$ where$k$ is the number of non-degenerate intervals in$b$ that precede coordinate$i$ - If
$a$ is the "lower" face (has$[v_i, v_i]$ ), then$k$ counts intervals before position$i$ - If
$a$ is the "upper" face (has$[v_i + 1, v_i + 1]$ ), then$k$ counts intervals up to and including position$i$
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enhancementNew feature or requestNew feature or requestmaththis issue requires implementing pure mathsthis issue requires implementing pure mathspriority: lowuximproves user experienceimproves user experience