Tag: mathematical visualization

Constellation 2071
Advertisements Its smallest prime factor is 19. Thus, it’s a bit of a bigger view. I can start to see some parabolic patterns. This is interesting.

Integer Factorization: Meet the MetaConstellation
Advertisements I am so in the weeds with this, now. LOL Sometimes, when the MIRIAM process (Moving Inspiration Rapidly Into Accepting Minds) gives me a glimpse of somewhere in this integer factorization study that I can go, something that I can do to assemble an idea into reality … the process tells me NOTHING about…

Integer Factorization Update 9/21/2023: The Zone Grid, The Trivial Jump, Etc.
Advertisements It’s been a week of inundation by ideas. I’ve battled headaches and all of the struggles of balancing potentially good mathematical revelations with all of life’s necessary other concerns. I am in a play – It’s a small role, but I am also the Musical Director for some gospel song interludes the director wants…

Integer Factorization: A Ceiling Square Spread and a Math QR Code!
Advertisements I am once again trudging into the deep forest of how prime numbers, discrete semiprimes, and other composite numbers distribute themselves among the positive odd integers, looking for patterns. The illustrations below are from the beginning steps, taken yesterday and today, of this stage of my math study. The table I’ve built using Apple…

Integer Factorization: A Larger Remainder Form Table Value
Advertisements I decided to look at a Remainder Form Table and the resultant graph for the Remainder r=115625 taken from the Ceiling Square and Remainder of the discrete semiprime m=1427061659. Making sure I selected values in the correct ranges for my graph (see my previous post’s warning edits), I looked at x2115625 for x ranging…

Integer Factorization: Back in the Mess, 9/2/2023 Edition
Advertisements The difference between the beauty and symmetry of the chart at the bottom below, and that of the charts above it, is as great as the difference between the amount I have discovered about integer factorization, and the amount left for me to figure out. The bottom chart I explained in my post yesterday.…

II seirtemmyS lufraeF
Advertisements Factor, factor, burning bright, In some wavelength beyond light, For you I seek, frustrated. Is all my work illfated?

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

Integer Factorization: Making the Crooked Straight
Advertisements My current approach to integer factorization, elements of which I have described in the last several days on this blog, involves a process I discovered last night that surprised me with its beauty and simplicity: It is a twodimensional method, straightforwardly described and probably easily programmed, for visualizing quadraticallydistributed numbers, namely consecutive perfect squares…

Integer Factorization: Plotting the Bee Line
Advertisements I came up with an idea late last night (after midnight turned March 3 to March 4) that is a bit exciting, although I know enough from the past months of study to temper my excitement with some realism as to the chance of it translating into an actual algorithmic breakthrough. So far, the…