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I don't know what kind of solid "dodecahedron.obj" is supposed to be, but it isn't a dodecahedron; those have 12 (pentagonal) faces (hence the name) and 20 vertices. The file "dodecahedron.obj" describes 50 triangular faces (that would be a pentacosahedron) and 15 vertices. (I find the idea of its dual, which would have 50 vertices for only 15 faces, mind-boggling.) Finally, simple numerical analysis shows that the purported solid cannot be real; 50 triangular faces means 75 edges, so this "solid" doesn't follow the rule that edges=faces+vertices-2.
The text was updated successfully, but these errors were encountered:
I don't know what kind of solid "dodecahedron.obj" is supposed to be, but it isn't a dodecahedron; those have 12 (pentagonal) faces (hence the name) and 20 vertices. The file "dodecahedron.obj" describes 50 triangular faces (that would be a pentacosahedron) and 15 vertices. (I find the idea of its dual, which would have 50 vertices for only 15 faces, mind-boggling.) Finally, simple numerical analysis shows that the purported solid cannot be real; 50 triangular faces means 75 edges, so this "solid" doesn't follow the rule that edges=faces+vertices-2.
The text was updated successfully, but these errors were encountered: