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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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  • Integer Factorization: Patterns in the Weeds

    Advertisements When m is an odd positive integer, c2 is the least perfect square greater than or equal to m that is odd or even as (m+1)/2 is odd or even, and r=c2-m, we can construct a Zone Grid and compute the slope of a Remainder Line passing through appropriately chosen values of r0=r and…

    JCSBimp

    March 27, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Deez Numbahs Iz Kwazy!

    Advertisements Truly I find myself in the weeds here, folks. And that’s a good thing. It’s good because the process of getting myself out of the tangle of weeds could involve untangling the principal tangle with which I’ve concerned myself for this past almost-year. I wrote the Perl script for the Initial Trapezoid I talked…

    JCSBimp

    March 25, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: The Initial Trapezoid

    Advertisements Not all of the work is done yet, and the thought-work has just begun, but I wanted to update with a screenshot of the concept of the Initial Trapezoid: the quadrilateral bounded by the green and red lines where the Remainder Line in orange, passing through a typical pair of remainders r0 and r1,…

    JCSBimp

    March 25, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Playing With the Zones

    Advertisements It occurred to me tonight to start looking at the successive remainders on the Zone Grid in a different way. During my studies of this arrangement of number lines vertically shifted by quadratic amounts on the Cartesian Plane, I discovered that a “skew” linear transformation of the zone lines and the Remainder Line preserves…

    JCSBimp

    March 24, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • II seirtemmyS lufraeF

    Advertisements Factor, factor, burning bright, In some wavelength beyond light, For you I seek, frustrated. Is all my work ill-fated?

    JCSBimp

    March 24, 2023
    My Math Studies
    mathematical visualization, mathematics
  • Fearful Symmetries

    Advertisements Sometimes, to look at fearful symmetries, I just need typeset graphics, if you please.

    JCSBimp

    March 23, 2023
    My Math Studies
    mathematical visualization, mathematics
  • She Walks in Beauty Like My Notes

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    JCSBimp

    March 22, 2023
    Artistic, My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Update for 21 March 2023

    Advertisements This update refers to concepts defined in earlier posts, without explaining them extensively here. I have placed links at the bottom of this post to recent explanatory posts. In designing my most recent approach, I produced a two-dimensional travel path taken by successive remainders c2-m, (c+1)2-m, … (c+n)2-m, … where m is the odd…

    JCSBimp

    March 21, 2023
    My Math Studies
    integer factorization, mathematics, number theory
  • A Cartoon: Non-Corporeals Tell All!

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    JCSBimp

    March 20, 2023
    Artistic, Personal, Philosophical
    cartoon
  • A Method of Construction and a Theorem for Integer Factorization

    Advertisements By J. Calvin Smith, B.A., Mathematics, Georgia College, Milledgeville, Georgia, United States of America (1979) – Retired Member, American Mathematical Society Written 14 March 2023 at Mountain River Chalet (the author’s home), Talking Rock, Georgia, USA. The following definitions, theorem, and construction are the end result of research by the author into factorization of…

    JCSBimp

    March 14, 2023
    My Math Studies
    integer factorization, mathematics, number theory
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