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JCSBimp's Hexagonal Orthogonal

JCSBimp's Hexagonal Orthogonal

BEWARE: There Be Fearfful Symmetries Here!

  • About J. Calvin “Bimp” Smith
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  • Some Physics Arithmetic to Ponder

    Advertisements A space/time physics thought experiment, of sorts, which I imagined today, along with questions that make it an experiment and an interesting one, in my view, goes as follows. A pair of advanced and durable satellites, built to communicate with each other across vast distances while exploring space, EXO-1 and EXO-2, head for respective…

    JCSBimp

    February 18, 2023
    Physical Science
    physics, space, time
  • Integer Factorization: The (Currently) Incalculable Property of the Remainder-Remainder Grid

    Advertisements The Usual Definitions, Restated for Current Explorations: Let m be an arbitrary odd positive integer whose factorization into powers of primes is not something we necessarily know. Determine whether (m+1)/2 is odd or even, or, equivalently, whether m is congruent modulo 4 to 1 or 3, respectively. Consider the possible expressions of m as…

    JCSBimp

    February 15, 2023
    My Math Studies
    integer factorization, mathematics, number theory, star trek
  • Integer Factorization FYI: Current “scratch paper” worksheet

    Advertisements Copied from my text editor app, just so show lots of recent cogitation evidence.

    JCSBimp

    February 15, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: The Remainder-Remainder Charts (Brief)

    Advertisements Okay, so the charts are filled out as fully as I’m filling them out tonight, and I promised an explanation, so this is a quick one. (It’s late.) I took the interesting number above, 101010101, which has more than two prime factors, and looked at the results of my characterize.pl script, which looked at…

    JCSBimp

    February 14, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Pretty Exciting, Right Now

    Advertisements To me, pretty mathematical properties are always exciting. They do not always lead to new discoveries of great mathematical moment, however. Right now, I’ve discovered something pretty, that may lead to other discoveries, which is pretty exciting in itself to me, whether momentous or not. I am developing something new I call Remainder-Remainder Tables,…

    JCSBimp

    February 14, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: A Possibly Not So Big Idea, but Who Knows?

    Advertisements The reason I took that recent side-trip into looking at the “Fermat factorization” of multiples of 4, further using the fact that 4n = (n+1)2-(n-1)2 to decide upon the even/odd “polarity” to determine an appropriate Ceiling Square and its Root, was that I had gotten a bit excited about the ability to use quadratic…

    JCSBimp

    February 13, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • I Am Probably Not the First to Say This, But…

    Advertisements Sometimes the mathematics takes me there. Sometimes, I have to get out and push.

    JCSBimp

    February 12, 2023
    My Math Studies, Personal
    mathematics
  • Integer Factorization: A Brief Insight Prefatory (Possibly) to a Big One

    Advertisements When expressing a number in terms of its Ceiling Square and Remainder, some time ago I decided it would be good to come up with a systematic technique that would work with even integers as well as odd. I have what might be a refinement of the part of that technique that deals with…

    JCSBimp

    February 11, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Pushing Forward

    Advertisements [To the regular reader: I do apologize for a bit of repetition of definitions, but I do this mainly for someone just jumping in to my posts for the first time, so that they’ll get up to speed quickly.] Let m be a discrete (square-free) semiprime, c its Ceiling Root and r the difference…

    JCSBimp

    February 10, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Update for February 9, 2023

    Advertisements Let m be an odd discrete (square-free) semiprime whose prime factors are p and q, with p<q. Determine whether m is congruent to 1 or 3 modulo 4, or, equivalently, whether (m+1)/2 is odd or even, respectively. This must match whether (p+q)/2 is odd or even. Let the Ceiling Root of m be the…

    JCSBimp

    February 9, 2023
    My Math Studies
    integer factorization, mathematics, number theory
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  • About J. Calvin “Bimp” Smith
  • Blog
  • Home
  • J. Calvin “Bimp” Smith’s Blog