tetrahedron

Sum of Cubes Gives Rise to Tetrahedral Spires | Steve Wait – March 6, 2024

Select two non-zero random volumes for a and b. I prefer to normalize with b=1 and a as some value ≤ 1. This affords quick and easy comprehension of the a:b ratio. The sum of a and b then equals c. This is the initial step necessary in establishing the proportional center of the base. Take the cube root of the three volumes, each being the corresponding side length of the base triangle. With a along the x-axis, the intersection of a and b defines the origin in the xy plane. Heron’s formula provides the total area of the base...

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