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Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).

6 votes
3 answers
2k views

What is the motivation and purpose of the Floretion group?

When searching through the Oeis, I came across something called a floretion. Based on the context, it seems to be some sort of algebraic structure. I googled it and found nothing that explained their …
Halbort's user avatar
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15 votes
3 answers
2k views

Why does the bitxor function appear in Nim?

Note that I am not asking for the motivation for the Sprague Grundy Theorem as in Motivation and Intuition for Sprague-Grundy Theorem. I am asking about the xor function in particular. …
Halbort's user avatar
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24 votes
1 answer
4k views

Why is there a $\sqrt{5}$ in Hurwitz's Theorem?

Hurwitz's theorem is an extension of Minkowski's Theorem and deals with rational approximations to irrational numbers. The theorem states: For every irrational number $\alpha$, there are infinitely m …
Halbort's user avatar
  • 1,129
11 votes
3 answers
1k views

Self-Similar Graphs

Many fractals can be generated using and infinite sequence of graphs. For example, Sierpinski's Gasket could be generated by the following sequence of graphs. Many definitions of fractal dimensions …
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