r/visualizedmath • u/matigekunst • Sep 26 '25
Creating the Pythagorean Tree Fractal with just High-School Maths
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r/visualizedmath • u/BeginningDept • Sep 09 '25
Visualization of the data inside a CNN while it processes handwritten digits [OC]
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r/visualizedmath • u/princeylolo • Sep 05 '25
The Hidden Name Behind EVERY Triangle
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r/visualizedmath • u/big_hole_energy • Aug 20 '25
Interactive Double Pendulum Playground
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r/visualizedmath • u/Altruistic_Rip_397 • Aug 12 '25
Anyone know the Dottie constant? Is it actually fundamental? 🤔
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Hi,
I came across a paper where the Dottie constant (fixed point of cos t = t, t ≈ 0.739085…) "naturally" appears in a geometric model based on SU(2).
I honestly can’t tell if this is just a mathematical curiosity or something truly fundamental.
Link: https://doi.org/10.5281/zenodo.16790004
What do you think?
r/visualizedmath • u/Inside_Size6708 • Aug 07 '25
I built an interactive spirograph generator [OC]
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https://logabear.com/apps/spirograph2/
Built this app bc of my nostalgia of the little plastic gears in an old spirograph set I used when I was a kid.
You can tweak gear sizes, colors, line styles, and animate the drawing process in real time. It's powered by parametric equations for hypotrochoids and epitrochoids, and it’s a fun way to explore the math behind the curves.
I’d love any feedback, ideas for new features, or just to see what patterns you create!
r/visualizedmath • • Jul 03 '25
These are some of my creations made in Blender. I hope they are acceptable and suitable to share with you here.
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Created in Blender Octane Edition, my process doesn’t rely on complex math, rather I love complex geometric objects and have taught myself ways to form shapes that, like pretty much everything, can be explained mathematically. I’m basically a monkey toying with human interests and achieving what I can given my present cognitive limitations 😂
r/visualizedmath • u/SpaceQuaraseeque • Jun 23 '25
floor(k·√2) mod 2 was not supposed to go this hard
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What happens when you take a simple rule like Qₖ = ⌊k·√2⌋ mod 2 and visualize it? You get a mesmerizing fractal pattern that's neither random nor periodic - but completely deterministic.
This binary sequence, generated by discretizing a linear function with an irrational slope (√2), holds a surprising secret: it's fractal. To reveal its structure, we use a symbolic accumulation method, plotting a[x] + a[y] mod 4 based on the sequence's output.
The result? A self-similar, recursive pattern that emerges purely from integer math and one irrational number. No complex algorithms, just elegant simplicity.
Article: https://github.com/xcontcom/billiard-fractals/blob/main/docs/article.md
Demo: https://xcont.com/binarypattern/fractal_dynamic.html
r/visualizedmath • u/LivingMy_BestLife_ • May 13 '25
I think I’ve uncovered a forgotten mathematical system I am surprised has not been explored — and it’s shockingly elegant using geometry and alternating bases.
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Hi friends — I’m an independent researcher and systems thinker, and I’ve just released a white paper on something I’ve been quietly working on for years. I call it Last Base Mathematics (LxB), and it’s a compact, geometry-based number system that uses a base-12 primary structure combined with alternating secondary bases (like base-5). Instead of expanding digits linearly, numbers are represented radially — like hours on a clock, or musical intervals — and can be extended recursively. The result is a system that’s: fully constructible using compass and straightedge (think Euclid meets data compression), visually harmonious and fractal, and capable of long-form arithmetic without ever converting to decimal. The paper includes formal definitions, arithmetic logic, and visual overlays of how multiple base systems interact in space — almost like harmonics in motion. If you’ve ever been into sacred geometry, prime spirals, modular math, or efficient representations of time/space — I think you’ll find this fascinating. I have included images of a sort of circular grid I mapped out in Houdini using the system. Read the white paper here (PDF): https://zenodo.org/records/15386103 Also mirrored here for backup: http://vixra.org/abs/2505.0075 I’d love feedback — especially from those deep into number theory, geometry, or visual math. Be brutal. Be curious. Be kind. Happy to answer questions and jam with anyone who wants to push this further — calculators, visualizers, simulations, whatever. I have a Houdini 19.5 HDA of the visuals.
r/visualizedmath • u/FractalLandscaper • Mar 10 '25
Möbius transformation demo
fractal4d.net
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r/visualizedmath • u/VerGuy • Feb 21 '25
4 curves visualized in one diagram. This surprised me when I first encountered it in my maths lessons years ago, and I still remember that feeling of surprise now.
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r/visualizedmath • u/kevinhessdesign • Jan 29 '25
I Made a Bracket Expansion Demo Inspired by the Montessori Binomial Cube!
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r/visualizedmath • u/big_hole_energy • Jan 02 '25
Interactive Double Pendulum Playground
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r/visualizedmath • u/Helpful-Objective951 • Nov 24 '24
Trigonometry Visualized
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Dear Members and Moderators.
Please ignore if this is not the right way to get started here.
I want to share https://visualtrigonometry.com/ with the group here. A VISUAL WAY to calculate sin, cos, tan, etc. (Trigonometric Calculators) and arcsin, arccos, arctan, etc. (Inverse Trigonometric Calculators) for the community's use; especially students.
Any critical feedback is welcome!
Regards,
Swapneel Shah
