L^p norm balls
thingiverse
Props are created to accompany a course in linear analysis. Each of these shapes depicts a unit ball in a different Lp norm, stretched along the x-axis. * Ellipsoid: (x/2)^2 + y^2 + z^2 ≤ 1 (the L² norm) * Cuboid: max(|x/2|, |y|, |z|) ≤ 1 (the L∞ norm) * Stretched Octahedron: |x/2| + |y| + |z| ≤ 1 (the L¹ norm) * Squircle-oid: (x/2)^4 + y^4 + z^4 ≤ 1 (the L⁴ norm)
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