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math.MG2026
Rotation of a simplex within another one
Shuzo Izumi
We are interested in the naive problem whether we can move a solid object in a solid box or not. We may restrict the movement to rotation. In the case we can rotate, the centre and…
math.MG2013
Sufficiency of simplex inequalities
Shuzo Izumi
Let z_0,...,z_n be the (n-1)-dimensional volumes of facets of an n-simplex. Then we have the simplex inequalities: z_p < z_0+...+\check{z}_p+...+z_n (0 =< p =< n), generalizations…