IDEA: A Cladogram for Mathematics

PROOF that PPTs {a, b, c}, {2a, d, c} DO NOT Exist.

Still no relatively elementary proof, that I have found, that these Pythagorean triples {a, b, c}, {2a, d, c} cannot…

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New Theorem: Every Sum of Distinct Squares is Divisible by a Prime That is the Sum of Coprime Squares

By Habib Lebsir (Note: "a and b prime between themselves" means coprime, relatively prime, GCD(a, b) = 1.)

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Imagine a list of all books each with a very brief encapsulation of main ideas, issues and poetics/style/structure

Imagine a list of books including all of the major novels and works of the past several centuries or maybe a…

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Ordering the Primitive Pythagorean Triples by Pellian Sequences

When you combine Euclid's formula for generating triples with the recursion in Pell sequences, you get an ordering of…

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THE WORLD IS CHANGING FASTER THAN EVER!!! What about our curricula, research and modes of assessment?

The world and how we see ourselves has been and still is changing rapidly, and now more than ever. This has far…

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CIRCULAR INVERSION: Solving The Apollonius Problem

Circles transform through the circle of inversion into circles or lines.

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Math/AI FOR Literature: Progress or ILL? Fraud detection or ambiguation, or prelude to the Turing Test?

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Fascinating Pythagorean Recursion for Impossible Triples {a, b, c}, {2a, d, c}

In an effort to prove no Pythagorean triples of the form {a, b, c} and {2a, d, c} exist, I came across a few…

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But how do we engage natural, deep and lasting curiosity?

This is trickier than it may seem. It’s not about simply piquing interest via images or cliffhangers.

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All Pythagorean Triples can be Generated and ORDERED by Pellian Sequences!

https://rationalargumentator.com/issue232/Pellian.

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