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Quantum

Qubit Onion

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https://www.youtube.com/watch?v=IIyBfvgz0FA⁠

Live Science | Nik Murzin | Qubit Onion Wolfram Institute

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I believe that the Cube is the three 3D +/- axes. That is the Qubit space.

There are two interpenetrating tetrahedra within the Cube, and also he is tracing out this outer/larger Tet.

The cube could be chosen to have unit basis 1, or the inner or outer Tet edge could have length 1.

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Synergetics⁠

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The Synergetics Hierarchy of Concentric Polyhedra

https://www.grunch.net/synergetics/volumes2.html⁠

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@kirby urner⁠

may be interesting, seeing the

Quantum⁠

namespace reckoning with the cosmic shape hierarchy.

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https://groups.io/g/synergeo/message/2735⁠

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(All denominated in whole-integer volumes in

ivm-xyz⁠

Quadray

Quadray coordinatesLast edited: Fri, Jul 5, 2024 Quadray coordinates, also known as caltrop, tetray or Chakovian coordinates (named for David Chako), were developed by Darrel Jarmusch (in 1981) and others, as another take on simplicial coordinates, a coordinate system using a simplex or tetrahedron as its basis polyhedron. See more en.wikipedia.org

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Group, permutations.

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https://en.wikipedia.org/wiki/Galois_theory⁠

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https://mathworld.wolfram.com/GaloisGroup.html⁠

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https://en.wikipedia.org/wiki/Galois_group⁠

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Galois, Abel.

Noticing that looking at Field Extensions (factorized Polynomials), taking the Rational numbers and adding sqrt(2). Field (of e.g. Rationals), then adding the Extension of sqrt(2), sqrt(3), i, etc. with structural similarity. And groups that structure that.

Can prove that with certain Polynomial, with needing a certain kind of group for permuting them — if it is not solvable (able to be broken down normally with quotients to the trivial/basal group case).

Cannot solve for the Quintic case.

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Part 2 from 10-10-2024

https://www.youtube.com/watch?v=rHuBrpkb_4U⁠

Live Science | Qubits in Phase Space and the Quantum Potato Chip

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