Semi related my wife just said “cauliflower is perfect because some people want more than others and comes out that way”. Hedghog, Fox, or something more sinister?
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More sinister
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The address scheme you describe works for L-systems.
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What’s an L system?
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Related question, can anything do this in reverse, given a volumetric scan?
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Topological Data Analysis uses a function (which you can specify) that applies real number values to data (like voxels) to describe topology of your object. It does a bad job keeping track of sub-features, although there is a method "Mapper" that gets close to what you describe
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That's parametric design. Rhino/Grasshopper. AUTOCAD is now 20th C. legacy software!
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In CS terms wouldn't that be equivalent to a method of indexing an ordered tree? Index representing which branch to take at each level of the hierarchy
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One could come up with a spatial tesselation based on wavelets. Multi resolution analyses are like the wavelet analogs of Fourier decompress, done on say a geometric object. I suspect by this point math people who do wavelet based work may already have such coordinate systems..
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(I’m yet unaware of such systems being implemented in CAD software, which historically uses straight Euclidean coordinates in both hardware and software, with most transformations between variations of these.
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