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Math problem! Pray for the great god! About space geometry!
The formula "4×1/3× √ 3/4× 62r =1/3× √ 3/4× 62× 6-(2/3× √ 3/2× 6) 2" is based on the idea of cut and complement.

Namely: 4* (a small vertebral body volume) = the whole regular tetrahedron volume.

As shown in the figure: