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Thoughts from transgressing dimension
Here you can see some of my wild thoughts and you may find some good worldly ideas on here. I just love thinking and thought I should let my thinking be read.
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highdimensionman
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N-Cubing the N-Sphere helpful insights.

Permanent Linkby highdimensionman on Tue Oct 05, 2021 7:53 pm

Function one.
As you move from first a straight line to a diagonal of the line crossing through a circle as the corners from a straight line to now a rectangle approach a square corner and then as the square becomes a cube and the circle becomes a sphere.
Function one is a function which can produce the triangle ratios and angles produced from such a line intersecting an N-Sphere as it goes up dimension.

Function two.
If I can produce an efficient function one I would like to produce from that a function which calculates the ratio volume difference between an N-cube and an N-sphere.

Function three.
After this I would like to find a fast way to produce logarithms based on N-sphere volume as it goes up dimension.

If I can't get off the ground there are a few things that can be done with current maths.
NSphere to N-Cube ratios could be published which could speed up N-sphere calculations and mean a lot less code input.
At least up to 3 dimensions probably 4 or higher could be explored as to the mass of n-spheres relative to real number dimensions and hence a bit of logarithmics.

Diagnosis - Paranoid Schizophrenia although challenged.
Medication - Clopixol injection 4 weekly.
Personal diagnosis - I battle with the chemistry and biological effects of Clopixol every day trying to improve on the heath and range of my approach.
I try to improve my thinking. Hopefully some good ideas shine through.
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