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旧 2022-01-04, 11:20   #1
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默认 Anatomy of a Cube - Cleve Moler on Mathematics and Computing


A cube is the familiar three-dimensional solid with eight vertices, six faces and twelve edges. I have been working with cubes recently in posts about both the Menger sponge fractal and the 4-by-4 matrix from computer graphics.

ContentsVerticesEdgesWireframeFacesVerticesCartesian coordinates, V, for the eight vertices of a cube can be generated from the binary representation of 0:7.

j = (0:7)'j = 0 1 2 3 4 5 6 7 k = dec2bin(j)k = 8×3 char array '000' '001' '010' '011' '100' '101' '110' '111' V = double(k-'0')V = 0 0 0 0 0 1 0 1 0 0 1

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