A new volume for unit balls in normed spaces is defined to keep perimeter over volume equal to dimension n, with invariance under affine transforms and duality, plus a 2D perturbative result forcing 4-fold symmetry.
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Self perimeter of convex sets
A new volume for unit balls in normed spaces is defined to keep perimeter over volume equal to dimension n, with invariance under affine transforms and duality, plus a 2D perturbative result forcing 4-fold symmetry.