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MathLapse - Spinning in various dimensions

Submitted by Ester Dalvit on

In 2d we can spin a ray about a point. If the ray contains a 1d profile, spinning gives a 2d object.
In 3d we can spin a half plane about a line. If we the half plane contains a 2d profile, spinning gives a 3d object.
In 4d we can spin a half space about a plane. If the half space contains a 3d profile, spinning gives a 4d object.

Universal Sphere-spiral Principium

Submitted by Kelemen Gabriel on

Thus, the universe is reduced to expressing order through sphere, genuine brick of the open, immeasurable, infinite, construct, which inhabits the geometry of spheres with morphodynamic, disk or spiral adjacencies. This geometric minimalism allows the existence, at the tiny thinness of the biosphere surface, of the entire morphological diversity, subject to a permanent construction and deconstruction.

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