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What do Pascal/Euler relationships mean technically?Fermat's Last TheoremRelational Numbers and examining FLTMusings on FLT including Figurate NumbersMusings on FLT Summary including Diagrammed Choicesa^n + b^n does not equal c^n when n>=3
The entwined powers of 1, 2, and 3Nicomachus' Theorem. How can cubes be the shells to squares? Some sophisticated relationships are quite obvious under the circumstances of Pascal/Euler/power series patterns. Catalan ConjectureOnly 3^2 - 2^3 are values of differing powers that have a difference of 1. Also, the differences of x^2 and x^3 are discussed. Addition of shellsThe logic including an interesting three dimensional model. Pythagorean TriplesHow does "shells summed equal c^n" describe squares? Feigenbaum's Physical Sciences recognition of Recursion as Universal
What do these series mean to me?
How can we know so much?Some commentary on seeing two understandings of a series at once. Essay on dimensional affectWhy are some impressions of dimension occurring? This essay does not answer the question. It discusses the question itself. What are dimensions?Some commentary on the nature of dimension. On the existence of numbersThe foundation of number and what "1" means. How to Mathematically Not Count Non-Stuff An intriguing concept that can matter, for example, in sieved accumulation. |
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