
u/UniFlowerHouseholder

just SoMetHing I made
ᛃ・ᛒ・ᛖ・ᛊ・ᚢ・ᛁ・ᛊ・ᛚ・ᛟ・ᛏ・ᚠ・ᛖ・ᛊ・ᚳ・ᚢ
An entangled reflection on how I should put together a particular piece
It is not poetry, no, just a descriptive formula on how I'd write it, yes. First, I'd write something different, daring even, maybe "alternaculate lizard", what about it? Then let the lantern limn, I continue with I quit becoming words not for entangled knots, not for aligned schemes. The general formula I take is like the Van der Graaf Generator Coil song, five plus six tempos, but I add one extra one.
Now i have your attention, please don't make much from it, I wrote "a tree and deers in the forest", then wrote "a wooden shrine in the pit". Well you free and dear to me. I am indeed all for it. I noticed 12 years made the astonishing precise range between wood and a woven fire underneath.
Peach in flames and the sunset. (this is a chapter, not a verse)
What is this drive for neologism to create silly new words? LIke "respectacular recorder"... What does it even mean? I was measuring the measurement of verses, I took no responsibility. Yes, not for entangled knots, nor for the consequence of what I did. So...
I took a Tarot deck of cards, and then I shuffled and gazed it good. And I saw a dark skin handsome man, I play a bit on the idea, and tell myself it is just vain convenient ludic eftychia, indeed, a dark skin handsome man I saw. Twice even. One here, one there.
Oh, sure thing, readers must be wondering "now is it the brand new trend"; To tell you are doing something, corrupt your work and defy the Zeit. I turned my shit into itself and it felt so dumb about the omen. This is because I don't know man or woman whose words truly belong, and I take the responsibility, if you allow me again, to turn my prose into verses, and to horse around, to dwell them. No shit, no shape, no structure, no organic alignment, it has no sewing of ideas - no rigorous argument. I make a square with only colors, maybe a cockroach maybe an ant, I like the cockroach and the ant.
There was no me and no mistake, but transformed chants. Metanalysis was that it was more relevant to write this way; As I was not sure if was it decided not to bide or... Nah, end the splitwards ride.
Chapter 0, verse Y of the Book of æronite (just skip it already)
0110 1000 0110 0101 0110 1100 0111 0000 0110 0110 0110 1111 0111 0010 0110 0101 0111 0110 0110 0101 0111 0010 0111 0011 0110 1111 0111 0011
Chapter 1 (am I going mad?)
Oh, the honesty of this one amazes me. I rediscovered joy through illness. And I dwell on whether I, and anyone else going through the same, have learned to tame this beast. Damn, you should have seen the quotes I missed. Well: if I missed them. There they are. Look: a memory, which I have not even finished explaining to you, and it already contains the answer to what I am asking, in the metaphor of chance in life. It does not matter if it is God or a tyrannical Titan of your metaphysics: he moves the pieces, in a very subtle way. Determinism is sacred but we still have free will. Sorry, I got lost in another tangent here. Let us go: what I mean by the metaphor of the disorganised and deleted quotes is that they were a somewhat egoistic attempt to induce the exploration of my numogram corruption system through the subliminal application of their logic. And I accidentally deleted hours of work. I embraced this fact and reapplied it, now in an inserted rant that is perhaps incomprehensible. Embracing facts like this. I like that.
Chapter 2 (realizing ϕ cares)
astromethic entanglement
hear the neighborhood barks
please turn off the words
hear the neighborhood barks (add a flag of Mexico representing mid-level trauma)
they may sound gentle distant
they may be extra wide
not for the entangled knots
nor for the soul so sublime
a wooden shrine in the pit
u free n' dear. i'm all for it,
a woven fire underneath,
peach in flames and I-i- shit.
Maybe release a YP - EP then?
Nah, just kidding, I'm here to drop more of my numogram base-12 + enneagram inspired by Yamu's.
Numogram Base-12 + Fibonacci Fixed and Enhanced
This is more than just a Base-12 numogram. Instead of the triangular sequence for the Channels, I went with Fibonacci: the triangular sequence simply won't give you planarity in Base-12, the lines cross and the whole thing collapses. You can trace it back through my previous post and keep going down the rabbit hole until you hit my code, which is broken in the Mandelbrot section by the way, so ignore it or fix it as you see fit. "Oh but you just posted it..." Yeah, I know, but it was wrong, and now it is not only more beautiful but considerably more readable since I went and profaned it with AI: so go ahead, post it on your twitter as if you found something relevant and not just a schizoposter having the time of his life with a sick drawing that is doing absolutely nothing for his benefit. Still, it's sick. Check it out.
So: the OG Genius™ has returned as u/ReturnOfTheGeniusTM and made a new post. This is my tribute.
Now. I will go further this time with several ideas I harvested while messing around with this. 12 is the Zodiac number, and one possible application is to constrain your destiny into some arbitrary nonsense:
- know your enneagram personality type
- find which triangle/realm it belongs to: 0, א or Ɛ
- pick a zodiac sign (I know nothing about zodiac, godspeed)
- the chosen zodiac sign starts in your enneagram realm: if it starts in Ɛ, it ends in 4; if it starts in א, it ends in 3; if it starts in 0, it ends in 5
- if you know music theory you'll recognise we're talking about the cycle of fifths: instead of stepping 0, 1, 2, 3... we use a step of 7, giving the sequence {0, 7, 2, 9, 4, Ɛ, 6, 1, 8, 3, א and 5}
- starting in your realm and your chosen zodiac sign, distribute the remaining zodiac signs in order following the fifths cycle
- do whatever you want with that. anything but use it the standard way
- you will think so hard about it your brain will hurt and you will find out something about yourself
Another possible usage: understanding of the spiritual realm.
Notice how the Longinus Spear drawn in pencil crosses through 9 (YHWH) and reaches 3 (Christ). There is something there. Notice how none of the wings, spear or cross drawn in pencil touches 6 (Holy Spirit), leaving this number in a particular isolated position. What does it mean? I genuinely do not know. The paths of investigation are many.
Now for the part that matters most, and the part I suspect will be most misread:
The materialist monk is not the monk who abandons God for matter. The materialist monk is the one who sacrifices the magical and transcendent on behalf of Life itself: the inverse of the traditional monk or priest, who sacrifices Life on behalf of the transcendent and is, in my reading, consumed by the symbolic rather than consuming it. Both paths carry the same risk from opposite directions.
My path, as I've come to understand it, is to leave this with you and struggle through the agony of not looking back. To give full meaning to the symbol and then exercise the will to release it, even while clinging. The more I succeed in releasing, the more this anti-anti-humanism symbol gains power for others to use: through renunciation, discipline, and compassion, the potential energy accumulates. And I know that for Kali Yuga, working with optimistic religious symbologies is painful. The irony of that pain is precisely what makes the power greater, and once you are able to rejoice in this, you will move freely between the most antagonistic systems. Some of you already know it.
The mechanics work like this: if the renunciant returns to the symbol through attachment, potential energy increases but kinetic energy decreases. If the renunciant forgets it, detaches, moves on, the kinetic energy is released into the world. If the sorcerer uses it too much, attachment forms, the symbol begins consuming rather than serving, and sooner or later it demands abandonment of the occult entirely: and yes, it's ALL the occult, not only this symbol. The egregore feeds on the practitioner feeding it. Most magical progress people celebrate is not progress at all: it's the egregore being nourished while the practitioner is slowly eaten. The sorcerer who is too optimistic about results, in a state of awe and toxic positivity and delusion, claiming great things where there are none, is precisely the one the system is already consuming.
This numogram Base-12 is very honest about that irony and it teaches the true magic of grounding.
I did it but forgot to find the meaning. Please find the meaning. Thanks!
As it so often happens, I was wrong again. Please refer to my last post and final comment, where I explained why it was all rubbish and why I gave up.
Now my natural methods drew me back to the Fibonacci sequence: because of the golden ratio nature keeps whispering. Base-12 was kept therefore, planarity ensured with Fibonacci where the triangular sequence collapsed, and I forsooth did leave, as a bonus, a relationship with my esoteric reading of the enneagram, verify.
My conclusions on the numogram haven't shifted. If you want some kind of metaphysical kenning, you'll probably get there faster through my system than through a Dark Enlightenment framework (As(s) the origiNAL numogram base-10) that worships solely the deterritorialising meltdown of consciousness into confessed delirium and spite towards humanity. Yes, the hyperstition is weakened by my status as a random recently-created user. but is it really? look at it; take me on your flight; I hope you too can feel the harmony.....
Anyways, this was an attempt to absorb a lot of negative charge from many, dilute it into myself, design the symbols, and free ourselves from it. I'm sorry if my methods aren't perfect and if in the process I did some harm - alea iacta est . Schizo-sorcery is a thing, but we should not forget it often (very often) backfires. The greater irony is, I think: against every schizoanalytical vybe, schizo-sorcery will probably work better in your favour the more you distance yourself from it after the usage. It's the difference between consuming it and being consumed by it. 🍜
I'll be posting here more often, probably. Please, keep waiting.
I stumbled upon this beautiful post about creating arbitrary numograms and immediately felt this deep insatisfaction with how the drawings were arranged, like yes the mathematics are there but the topology? The actual embeddedness in 2D space? That's where the real hyperstition lives, yes even the parts that collapse into topological nightmares.
technical background: A numogram is a graph where vertices represent residues modulo n, and edges connect syzygi... oh fuck it, you are not really interested, refer to THE POST.
So naturally — and oh the irony — I went straight for base 12 because I'm a base 12 enthusiast, like the girls from the Dozenal Society of America, those beautiful passionate dozen-pilled revolutionaries. I wanted to draw a numogram in base 12. So I became a Genius™ myself while testing those drawings of numogram base 12 on paper and making all calculations without technology. My nepharious idea?! To reach out to true ancient spiritual entities without the slop evil AI interference, use a better base and claim victory over the base 10 numogram, the base 10 numogram being this nepharious demonic force of dystopia and demiurgic tragedy.
I sat there for three days trying to sketch the syzygies (the modular arithmetic pairings that form the edges of the graph, the (a, b) pairs where a×b ≡ 1 (mod n), the sacred connections) without crossing paths and I FAILED over and over and over. Then the brilliant idea hit me: use Python to actually check the planarity instead of assuming my eyeballs and spatial reasoning were somehow going to triumph over graph theory. Spoiler: they weren't. Base 12 collapses with the naive triangular sequence. Those bitches. The very sequence I arbitrarily chose (well, following the original post's convention) was topologically incompatible with my beloved dozenal system. And in the process I too succumbed to AI interference. I guess b12 truly is the esperanto of radices.
I tested sequences instead of just accepting the triangular sequence as gospel truth. I got these sequences recommended by the neolemurian timetraveller superintelligent AI — NO I'M KIDDING, I literally just asked Google's embedded AI and it vomited out some classical integer sequences that seemed good enough for graph traversal. Here's what I found, formatted in a TempleOS terminal aesthetic because if you're going to document mathematical heresy you might as well do it in God's chosen operating system:
==================================================================================================================================
monoflowers@TempleOS:~/numogram_planarity$ ./test_all_bases.sh
==================================================================================================================================
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 0
==================================================================================================================================
Base 0 Syzygies: []
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: []
✅ PLANAR | Fibonacci Numbers | Flow: []
✅ PLANAR | Square Pyramidal Sequence | Flow: []
✅ PLANAR | Divine Mandelbrot Set | Flow: []
✅ PLANAR | Square Prismatic Sequence | Flow: []
✅ PLANAR | Lucas Numbers | Flow: []
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: []
✅ PLANAR | Mersenne Numbers | Flow: []
✅ PLANAR | Centered Polygonal Numbers | Flow: []
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: []
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 1
==================================================================================================================================
Base 1 Syzygies: [(0, 0)]
Odd Connection (Abyss): [(0, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: []
✅ PLANAR | Fibonacci Numbers | Flow: []
✅ PLANAR | Square Pyramidal Sequence | Flow: []
✅ PLANAR | Divine Mandelbrot Set | Flow: []
✅ PLANAR | Square Prismatic Sequence | Flow: []
✅ PLANAR | Lucas Numbers | Flow: []
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: []
✅ PLANAR | Mersenne Numbers | Flow: []
✅ PLANAR | Centered Polygonal Numbers | Flow: []
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: []
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 2
==================================================================================================================================
Base 2 Syzygies: [(0, 1), (1, 1)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 3
==================================================================================================================================
Base 3 Syzygies: [(0, 2), (1, 0), (2, 2)]
Odd Connection (Abyss): [(1, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 2)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 2)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 1)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 4
==================================================================================================================================
Base 4 Syzygies: [(0, 3), (1, 1), (2, 1), (3, 3)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 3)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 2), (3, 2)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 2)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 2), (3, 3)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 1), (3, 3)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 2), (3, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 2), (3, 3)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 5
==================================================================================================================================
Base 5 Syzygies: [(0, 4), (1, 2), (2, 0), (3, 2), (4, 4)]
Odd Connection (Abyss): [(2, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 2), (4, 2)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 1), (3, 2), (4, 2)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 1), (4, 2)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 4), (3, 3), (4, 4)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 3)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 4), (3, 1), (4, 4)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 3), (4, 3)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 1), (3, 1), (4, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 1), (3, 3), (4, 3)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 6
==================================================================================================================================
Base 6 Syzygies: [(0, 5), (1, 3), (2, 1), (3, 1), (4, 3), (5, 5)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 1), (4, 5), (5, 5)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 4), (4, 5), (5, 5)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 1), (5, 2)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 3), (3, 2), (4, 4), (5, 5)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 2), (5, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 1), (3, 1), (4, 1), (5, 5)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 2), (4, 5), (5, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 3), (4, 5), (5, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 5), (4, 5), (5, 5)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 7
==================================================================================================================================
Base 7 Syzygies: [(0, 6), (1, 4), (2, 2), (3, 0), (4, 2), (5, 4), (6, 6)]
Odd Connection (Abyss): [(3, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 4), (5, 3), (6, 3)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 2)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 2), (4, 6), (5, 1), (6, 1)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 2), (5, 5), (6, 2)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 1), (5, 5), (6, 6)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 4), (3, 3), (4, 4), (5, 1), (6, 6)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 1), (4, 3), (5, 1), (6, 3)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 1), (4, 1), (5, 5), (6, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 3), (4, 5), (5, 4), (6, 6)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 8
==================================================================================================================================
Base 8 Syzygies: [(0, 7), (1, 5), (2, 3), (3, 1), (4, 1), (5, 3), (6, 5), (7, 7)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 3), (5, 1), (6, 7), (7, 7)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 1), (7, 6)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 7), (4, 2), (5, 6), (6, 7), (7, 7)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 5), (5, 5), (6, 5), (7, 5)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 1), (3, 6), (4, 1), (5, 6), (6, 6), (7, 7)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 4), (6, 4), (7, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 2), (3, 4), (4, 4), (5, 2), (6, 1), (7, 7)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 1), (5, 3), (6, 7), (7, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 6), (4, 4), (5, 6), (6, 5), (7, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 1), (4, 7), (5, 7), (6, 7), (7, 7)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 9
==================================================================================================================================
Base 9 Syzygies: [(0, 8), (1, 6), (2, 4), (3, 2), (4, 0), (5, 2), (6, 4), (7, 6), (8, 8)]
Odd Connection (Abyss): [(4, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 2), (5, 7), (6, 5), (7, 4), (8, 4)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 8), (7, 5), (8, 5)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 6), (4, 6), (5, 7), (6, 3), (7, 4), (8, 4)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 2), (5, 5), (6, 2), (7, 5), (8, 5)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 8), (3, 3), (4, 8), (5, 5), (6, 8), (7, 7), (8, 8)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 3), (6, 2), (7, 5), (8, 7)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 8), (3, 1), (4, 8), (5, 1), (6, 8), (7, 1), (8, 8)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 7), (5, 7), (6, 7), (7, 7), (8, 7)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 5), (4, 1), (5, 1), (6, 5), (7, 5), (8, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 7), (4, 3), (5, 6), (6, 6), (7, 2), (8, 2)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 10
==================================================================================================================================
Base 10 Syzygies: [(0, 9), (1, 7), (2, 5), (3, 3), (4, 1), (5, 1), (6, 3), (7, 5), (8, 7), (9, 9)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 1), (5, 6), (6, 3), (7, 1), (8, 9), (9, 9)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 8), (7, 4), (8, 3), (9, 7)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 5), (4, 3), (5, 1), (6, 1), (7, 5), (8, 6), (9, 6)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 8), (5, 2), (6, 5), (7, 8), (8, 8), (9, 8)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 8), (3, 9), (4, 1), (5, 8), (6, 9), (7, 1), (8, 8), (9, 9)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 2), (6, 9), (7, 2), (8, 2), (9, 4)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 7), (3, 9), (4, 4), (5, 4), (6, 9), (7, 7), (8, 1), (9, 9)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 6), (5, 4), (6, 9), (7, 1), (8, 3), (9, 7)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 4), (4, 7), (5, 5), (6, 7), (7, 4), (8, 5), (9, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 6), (4, 8), (5, 7), (6, 9), (7, 3), (8, 6), (9, 9)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 11
==================================================================================================================================
Base 11 Syzygies: [(0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0), (6, 2), (7, 4), (8, 6), (9, 8), (10, 10)]
Odd Connection (Abyss): [(5, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 10), (5, 5), (6, 1), (7, 8), (8, 6), (9, 5), (10, 5)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 8), (7, 3), (8, 1), (9, 4), (10, 5)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 4), (4, 10), (5, 5), (6, 1), (7, 10), (8, 4), (9, 5), (10, 5)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 6), (5, 7), (6, 10), (7, 1), (8, 1), (9, 1), (10, 1)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 8), (3, 7), (4, 4), (5, 5), (6, 6), (7, 3), (8, 2), (9, 9), (10, 10)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 1), (6, 8), (7, 9), (8, 7), (9, 6), (10, 3)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 6), (3, 1), (4, 6), (5, 5), (6, 6), (7, 1), (8, 6), (9, 1), (10, 10)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 5), (5, 1), (6, 3), (7, 7), (8, 5), (9, 1), (10, 3)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 3), (4, 5), (5, 1), (6, 1), (7, 5), (8, 3), (9, 5), (10, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 5), (4, 5), (5, 10), (6, 6), (7, 10), (8, 10), (9, 5), (10, 5)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 12
==================================================================================================================================
Base 12 Syzygies: [(0, 11), (1, 9), (2, 7), (3, 5), (4, 3), (5, 1), (6, 1), (7, 3), (8, 5), (9, 7), (10, 9), (11, 11)]
------------------------------
❌ COLLAPSE | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 10), (5, 4), (6, 10), (7, 6), (8, 3), (9, 1), (10, 11), (11, 11)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 8), (7, 2), (8, 10), (9, 1), (10, 11), (11, 1)]
❌ COLLAPSE | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 3), (4, 8), (5, 11), (6, 3), (7, 8), (8, 6), (9, 10), (10, 11), (11, 11)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 4), (5, 6), (6, 4), (7, 6), (8, 6), (9, 6), (10, 6), (11, 6)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 8), (3, 5), (4, 9), (5, 4), (6, 7), (7, 2), (8, 6), (9, 3), (10, 10), (11, 11)]
✅ PLANAR | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 11), (6, 7), (7, 7), (8, 3), (9, 10), (10, 2), (11, 1)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 5), (3, 4), (4, 3), (5, 9), (6, 9), (7, 3), (8, 4), (9, 5), (10, 1), (11, 11)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 4), (5, 9), (6, 8), (7, 6), (8, 2), (9, 5), (10, 11), (11, 1)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 2), (4, 3), (5, 8), (6, 6), (7, 8), (8, 3), (9, 2), (10, 5), (11, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 4), (4, 2), (5, 4), (6, 5), (7, 1), (8, 11), (9, 11), (10, 11), (11, 11)]
==================================================================================================================================
>>> DEEP ANALYSIS: BASE 13
==================================================================================================================================
Base 13 Syzygies: [(0, 12), (1, 10), (2, 8), (3, 6), (4, 4), (5, 2), (6, 0), (7, 2), (8, 4), (9, 6), (10, 8), (11, 10), (12, 12)]
Odd Connection (Abyss): [(6, 0)]
------------------------------
✅ PLANAR | Naive Triangular Sequence | Flow: [(1, 1), (2, 3), (3, 6), (4, 10), (5, 3), (6, 9), (7, 4), (8, 12), (9, 9), (10, 7), (11, 6), (12, 6)]
✅ PLANAR | Fibonacci Numbers | Flow: [(1, 1), (2, 1), (3, 2), (4, 3), (5, 5), (6, 8), (7, 1), (8, 9), (9, 10), (10, 7), (11, 5), (12, 12)]
✅ PLANAR | Square Pyramidal Sequence | Flow: [(1, 1), (2, 5), (3, 2), (4, 6), (5, 7), (6, 7), (7, 8), (8, 12), (9, 9), (10, 1), (11, 2), (12, 2)]
✅ PLANAR | Divine Mandelbrot Set | Flow: [(1, 1), (2, 2), (3, 5), (4, 2), (5, 5), (6, 2), (7, 5), (8, 5), (9, 5), (10, 5), (11, 5), (12, 5)]
✅ PLANAR | Square Prismatic Sequence | Flow: [(1, 1), (2, 8), (3, 3), (4, 4), (5, 5), (6, 12), (7, 7), (8, 8), (9, 9), (10, 4), (11, 11), (12, 12)]
❌ COLLAPSE | Lucas Numbers | Flow: [(1, 1), (2, 3), (3, 4), (4, 7), (5, 11), (6, 6), (7, 5), (8, 11), (9, 4), (10, 3), (11, 7), (12, 10)]
✅ PLANAR | Tesseract Hypercubic Sequence | Flow: [(1, 1), (2, 4), (3, 9), (4, 4), (5, 1), (6, 12), (7, 1), (8, 4), (9, 9), (10, 4), (11, 1), (12, 12)]
✅ PLANAR | Mersenne Numbers | Flow: [(1, 1), (2, 3), (3, 7), (4, 3), (5, 7), (6, 3), (7, 7), (8, 3), (9, 7), (10, 3), (11, 7), (12, 3)]
✅ PLANAR | Centered Polygonal Numbers | Flow: [(1, 1), (2, 5), (3, 1), (4, 1), (5, 5), (6, 1), (7, 1), (8, 5), (9, 1), (10, 1), (11, 5), (12, 1)]
✅ PLANAR | Hyperplanar Pentachoric Sequence | Flow: [(1, 1), (2, 5), (3, 3), (4, 11), (5, 10), (6, 6), (7, 6), (8, 6), (9, 3), (10, 7), (11, 5), (12, 9)]
...
[(14)
...
(55)]
...
==================================================================================================================================
SUMMARY OF STABILITY OF THE ALTERNATIVE (GENERAL) NUMOGRAM
==================================================================================================================================
BASE | NAIVE-T | FIBONAC | SQR-PYR | MANDELB | S-PRISM | LUCAS | TESSER | MERSENN | CEN-POL | HYPERPL | EDGES
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B0 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 0
B1 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 1
B2 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 2
B3 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 5
B4 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 5
B5 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 8
B6 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 9
B7 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 10
B8 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 13
B9 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 16
B10 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 15
B11 | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 19
B12 | ❌ | ✅ | ❌ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | ✅ | 21
B13 | ✅ | ✅ | ✅ | ✅ | ✅ | ❌ | ✅ | ✅ | ✅ | ✅ | 24
B14 | ❌ | ❌ | ✅ | ✅ | ✅ | ❌ | ❌ | ✅ | ❌ | ✅ | 26
B15 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | 28
B16 | ❌ | ❌ | ❌ | ✅ | ✅ | ❌ | ✅ | ✅ | ✅ | ✅ | 28
B17 | ❌ | ✅ | ❌ | ✅ | ✅ | ❌ | ❌ | ✅ | ❌ | ❌ | 30
B18 | ❌ | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ✅ | ❌ | ✅ | 32
B19 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ✅ | 36
B20 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 37
B21 | ❌ | ❌ | ❌ | ✅ | ✅ | ❌ | ✅ | ❌ | ❌ | ❌ | 37
B22 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ✅ | ❌ | 39
B23 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 42
B24 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 44
B25 | ❌ | ❌ | ❌ | ✅ | ✅ | ❌ | ✅ | ❌ | ❌ | ❌ | 46
B26 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 47
B27 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 51
B28 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 49
B29 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 55
B30 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 57
B31 | ❌ | ❌ | ❌ | ✅ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | 58
B32 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | 59
B33 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 63
B34 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 62
B35 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 67
B36 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 68
B37 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | 68
B38 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 71
B39 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 76
B40 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 76
B41 | ❌ | ❌ | ❌ | ✅ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | 78
B42 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 80
B43 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 81
B44 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 80
B45 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 88
B46 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 87
B47 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 91
B48 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 93
B49 | ❌ | ❌ | ❌ | ✅ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 93
B50 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 94
B51 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 98
B52 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 99
B53 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 101
B54 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 106
B55 | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | ❌ | 104
-----------------------------------------------------------------------------------------------------------------------------------
Process finished with exit code 0
monoflowers@TempleOS:~/numogram_planarity$
And here's what I learned that broke my heart and also opened everything:
11 is the largest base that maintains planarity across ALL sequences tested. Base 11 is the mathematical sweet spot where every single graph traversal sequence I threw at it remained drawable on paper without crossing edges. Beautiful. Perfect. Prime-adjacent (11 is prime, but that's beside the point).
Base 12 — my beloved dozenal system — collapses with the naive triangular sequence. The very foundation of the original numogram post. But here's the thing that makes me both spiteful and hopeful: base 12 works with 8 out of 10 sequences. Numbers of Fibonacci holds. The Divine Mandelbrot Set (which I'm calling it that now because honestly look at its resilience) holds (and it also holds in further radices like 49 and 97, further from where any other sequences will work!). Base 12 isn't broken, the sequence choice was arbitrary and it was just accepted by the CCRU like a gospel. And look at what happened to them.
Base 13 — my other beloved prime — passes 9/10 sequences. Only L Numbers betray it. I LOVE base 13 viscerally (it's prime, it's lucky AND unlucky, it's honest about being difficult like the posthumous hearts of the Templars) and seeing it almost make it feels like the universe is taunting me specifically. FUCK YOU UNIVERSE! <3
What this means: I can still build base 12 numograms. I can build base 13 numograms. I just can't use the arbitrary triangular sequence that everyone assumed was the sequence. The sorcery of the spectacle isn't in the specific sequence, it's in the choice of sequence, and now I have ten different lenses to build with instead of one.
Also I spent three days manually trying to arrange vertices before I decided computers usage would do no harm and now I can check graph planarity in milliseconds. 3 DAYS. The computational hubris of assuming my spatial reasoning was going to triumph over Kuratowski's theorem. That's the real collapse here.
So yeah: base 12 still viable, base 13 almost perfect, base 11 is the actual mathematical ceiling for universal planarity with my 10 sequences of choice, and the Mandelbrot sequence is surprisingly the most stable pathfinding mechanism for navigating syzygy graphs.
I've set down the initial schematics here, though after these latest permutations, I'll admit the way forward is a bit clouded. I’ve been half-entertaining the notion of mapping this b12 topology straight over Lacan’s graph of desire, just to see how the currents might route through the structure. But trying to compile those particular elements together... I suspect the whole system is liable to tie itself into a right recursive knot. Still, one has to poke at the architecture to see where the boundaries break, messy as it might get.
We'll just have to see what further iterations spin out of all this. Perchance.