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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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  • Assorted Incorrect Thoughts

    Advertisements “You see, I learned something today. Throughout this whole ordeal, we’ve all wanted to show things that we weren’t allowed to show. But it wasn’t because of some magic goo. It was because of the magical power of threatening people with violence. That’s obviously the only true power. If there’s anything we’ve all learned, […]

    JCSBimp

    December 14, 2022
    Personal, Philosophical, Political
    artistic freedom, censorship, diversity, political correctness, television
  • The Law

    Advertisements He said to them, “Therefore every teacher of the law who has become a disciple in the kingdom of heaven is like the owner of a house who brings out of his storeroom new treasures as well as old.” – Matthew 13:52 NIV I thought of this as I compiled a table for thorough […]

    JCSBimp

    December 3, 2022
    Mathemagical Subjects, My Math Studies, Personal, Philosophical, Religion/Christianity
    magick, mathematics, religion
  • “Telescoping” the Positive Integers: A Systematic Approach

    Advertisements I’ve systematized, somewhat, the recursive expression of an arbitrary positive integer as a recursive sequence of differences of systematically adjusted ceiling squares with their remainders. I am hoping this will allow me to continue on a path to greater revelations about integer factorization. As outlined below, slightly surprisingly to me this morning, I’m not […]

    JCSBimp

    November 30, 2022
    My Math Studies
    integer factorization, mathematics, number theory
  • “Approximation” by JCSBimp

    Advertisements An Arrangement of Squares Based on an Arrangement of Not Quite Regular Pentagons more fun with online graph paper art Rows of squares sometimes overlap, but columns of squares do not. And now, a little bit more … and the key. The squares mark the complete vertices of the graph formed by the packed […]

    JCSBimp

    November 26, 2022
    Artistic, My Math Studies
    art, mathematical visualization, mathematics
  • Just a Teeny Observation…

    Advertisements Let m be an odd positive integer, c its Adjusted Ceiling Root, and r the difference between c squared and m. By the Adjusted Ceiling Root of m, I mean the least positive integer whose odd/even parity is the same as (m+1)/2 whose square is greater than m. I call that perfect square the […]

    JCSBimp

    November 21, 2022
    My Math Studies
    mathematics, number theory
  • Integer Factorization and Related Work: An Encapsulation of “Trivial” Representations

    Advertisements I belive I now have all the information cobbled together sufficiently to give a concise characterization of all positive integers’ “Trivial” characterizations as differences of squares. For any positive integer m, let the Ceiling Square of m be the least perfect square greater than m. For odd m, let the Adjusted Ceiling Square of […]

    JCSBimp

    November 15, 2022
    My Math Studies
    integer factorization, mathematics, number theory
  • Some Math Notes

    Advertisements These are from studies ancillary to my integer factorization explorations. Let m = 2n be an even positive integer corresponding to positive integer n, which may or may not be even. Let s be the Ceiling Root of m, the integer ceiling of m’s square root. s squared is the Ceiling Square of m, […]

    JCSBimp

    November 14, 2022
    My Math Studies
    integer factorization, mathematics, number theory
  • Integer Factorization: Update, 14 November 2022

    Advertisements Bimp’s Decreasingly Frequent Progress Report I am still working daily on my mathematics study, but want to get better at dropping a word now and then about my progress. Below is a text file created (without Perl script help, except in running my “gimme the next prime” wrapper routine) in just the past couple […]

    JCSBimp

    November 14, 2022
    My Math Studies
    integer factorization, mathematics, number theory
  • The Eye

    Advertisements Another Quasi-Penrose Tiling With Holes, Based on an Irregular but Symmetric Pentagonal Tile . . . . . . and my usual “ring-based” concentric construction method.

    JCSBimp

    November 10, 2022
    Artistic, My Math Studies
    mathematical visualization, mathematics
  • Another Graph Paper Tiling

    Advertisements Below is the beginning of a second Quasi-Penrose tiling I’ve made using virtual graph paper and an irregular pentagon created and flipped thereon.

    JCSBimp

    November 9, 2022
    Artistic, My Math Studies
    mathematical visualization, mathematics
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  • About J. Calvin “Bimp” Smith
  • Blog
  • Home
  • J. Calvin “Bimp” Smith’s Blog