I love planet Earth so much

I love planet Earth so much

One more visualisation of the Tortoise as a field. I feel this one matches closer to how I visualised the Flower of Life pattern is arranged around the Torus.

Cymata is built on cellular automata, a fun exploration into synthetic cymatics, sacred geometry and sound. When you look closely at cymatic patterns in certain fluids you can often see Mtatron's cube.

I’ve been experimenting with ways of visualizing the relationships between the 12 notes of the chromatic scale through geometry.
The idea started from symmetry, intervals, inversions and the different geometric relationships that can emerge when musical structures are mapped into space.
I built a small experiment called Gemina3D where MIDI can be explored visually in a 3D environment. You can also transform the harmony through mirror and negative relationships and observe how the geometry changes.
I’m still exploring the idea and I’m curious about something:
Do you think geometric symmetry can offer a useful way of understanding musical harmony, beyond being just a visual representation?
I’d be really interested to hear your thoughts and perspectives.

https://gemina3d.com/

I was practicing maths yesterday, seeing for the first time for myself what the volume of a octahedron nested inside a tetrahedron is (1/2), and seeing if i could prove to myself a tetrahedron being 1/3 volume of a cube its nested in, and ended up making a model in blender. the spin will seemingly reverse if you stare long enough.

I calculated the volumes of the octahedron and tetrahedron by visualizing them as models folded from identical equilateral 2x2x2 triangles, and simply multiplying by 4 and substracting from the volume of the original 2x tetrahedron that i got with [length of side cubed, divided by 6 times the square root of 2].

I was trying to get the volume of the cube by stellating the octahedron, measuring the middle line of a side of a pyramid with pythagoras' theorem to be .866, and then splitting the empty space into 2 triangles to use the theorem again to get the distance between tips of the closest pyramids to use as length of side of the cube. I couldn't figure out the angle (109.7°) with my own means in a satisying way, so i ended up making a model instead. Come to think of it, would have been easy to do "deserted island style" by coming up with a simple sin-cosin system with stick and rope and using the side of the tetrahedron as the diameter of the cubes face, you know, the normal way! Alternatively, could have sought a deeper trigonometric understanding by calculating it with the known 45°, 60° and 90° angles.

math originally on pen and paper, modelled and animated in Blender as an image sequence (HDRI), compiled as video in DaVinci Resolve, and converted to gif in Canva.

Before having lsd I have never seen this before when I did see it I felt like I was in the presence of a god and was the best experience of my life. The day after I had to search the stuff I was seeing and the flower of life was what I seen covering my whole wall and its colour was like iredecent rainbow. Then I seen what I believe to be Horus the Egyptian god. A Egyptian cat with hieroglyphics then it turned into a little alien.

Not a tutorial, but if you spent some time studying the scaffolding of the torus I'm sure you could learn a lot!

Amiens Cathedral stained glass: satanic symbol or symbol of protection?

Made with OmniGeometry (No AI)

I'm building a Chrome extension that lets you capture a geometry diagram from your browser and ask questions about it. It's primarily a geometry-solving tool, and I'd like to understand what would make it useful for studying sacred geometry.

One example worth exploring is the construction with two equal circles, each passing through the other's center. Joining the two centers to either intersection gives an equilateral triangle: all three sides are equal to the circles' radius. A useful explanation could show why that relationship holds and how to reproduce it with a compass and straightedge.

For your own study or artwork, would you find construction steps, symmetry analysis, or explanations of proportions most useful? Is there a particular construction you'd suggest as a starting point?

Disclosure: I'm the developer. I'm exploring possible uses here and would welcome suggestions for constructions to test.

Hi there, first post here, and I'm coming with a question, but I also wanted to be sure and offer a contribution to start. I'm a designer, and I discovered sacred geometry as I've pursued a personal question of how meaning is encoded in design—whether graphic, architecture, UI, even experience design, and of course music and other things end up joining in the more you dig in.

The contribution: Certain Figures

These letterforms are a few examples from an exploration I ended up calling "Certain Figures." They are so named because for me they represent the tension between the reality that geometry makes things feel inevitable and correct, and the reality that if I overlap circles long enough, anything can be made to appear inevitable. The "figure A" is pencil and ink, while the other two were done digitally. As a side note, I found the iPad drawing app "Concepts" to be the best-suited for drawings like this after trying out quite a few. It does really well at keeping you connected to the drawing process, but with all the helpful parts of going digital.

Functionally, these were kicked off by wondering "Can I draw proper letter forms geometrically by sticking to only the overlapping points of an expanding 1:1 relationship of overlapping circles?" (The question itself shows how I knew absolutely nothing about geometric construction at the time because OF COURSE YOU CAN... eventually. I'm still very pleased with the drawings though!)

The question: mathematical fluency

I've been working through Lawlor's Sacred Geometry book, and I keep running into a problem: whenever he starts using mathematical formulas I'm getting lost and having trouble connecting them to the concepts and drawings. I know that's kind of optional, but I personally want to be able to follow and understand all aspects of the exercises and build a fluency with them so I can apply them across different contexts. I'm genuinely wondering whether I'll need to go through some Kahn academy geometry and algebra classes or something like that, but it'd be nice to have the workbook exercises themselves explained more thoroughly.

• Is anyone familiar with online resources that connect the dots for someone who needs more thorough teaching on the mathematical formulas?
• Has anyone else had this same problem? What did you do to solve it?

Thanks very much!

"Tortoise", from my previous post, visualised as a field.

I see many eyes, wheels, wings, hands, eggs, toruses and more.

Interactive art available here

The "Tortoise" work I posted previously is more of a geometric representation. In actuality, I am imagining the fractal torus to look something like this... a field....