u/Deep_World_4378

Continuing to share specific variations of the fractal torus work, Tortoise. This one is the connect to Ezekiel's Wheels. The wheel are described by Ezekiel as "a wheel in the midst of a wheel" with high, "awesome" rims filled with eyes, appearing to sparkle like beryl stone

Check the visualiser in my previous post for details:
https://www.reddit.com/r/SacredGeometry/s/wLMvVCnnDn

Continuing to share specific variations of the fractal torus work, Tortoise. This one is the connect to Indra's net (https://en.wikipedia.org/wiki/Indra's\_net)

Check the visualiser in my previous post for details:
https://www.reddit.com/r/SacredGeometry/s/wLMvVCnnDn

A field of connected toruses...

Check the visualiser in my previous post for details:
https://www.reddit.com/r/SacredGeometry/s/wLMvVCnnDn

A few weeks back, after many iterations of the fractal torus model, I created an algorithmic artwork called Tortoise, made in tandem with AI. As part of the Nameless framework, I had landed on the Hopf fibration as an important structure for defining physical reality. I took an artistic leap after this... overlaying two oppositely rotated Hopf fibre bundles, then repeating the whole structure again and again at the interstices formed by their intersections, to form a fractal torus. This differs from other torus visualisations I've seen, not only in its use of Hopf fibres, but in the fractal arrangement, which produces that "many, many eyes" quality or the "wheels within wheels" quality.

Studying it from different angles, I realised, to my shock, that this structure had many many connections to scientific concepts, myths and symbols across the world and across history:

Science: the black hole and white hole paradigm, wormholes

Sacred geometry: Flower of Life, Lotus of Life, Triskelion, Yin Yang

Religious symbols: Sri Yantra on Kurma, Shatkona, Swastika, Tree of Life, Thousand Petalled Lotus, Reclining Vishnu, Samudra Manthan, Shivlingam, Avalokiteshvara, Ezekiel's Wheel, the Celtic Cross

Sacred architecture: Muqarnas and Islamic geometric patterns, Rose windows

Visionary art made in altered states, such as Alex Grey's

Contemporary design: even the OpenAI logo

To show how all these might derive from one source, I built a system that varies the parameters of the same root Tortoise artwork until it matches each symbol. Then I made a visualiser where you can click any symbol, read about the connection, and study the match visually.

I'm not claiming these are all derived from this single structure. Each connection is pattern-matched at this stage, and the scientific ones especially are speculative. I claim only the visual match, not an actual connection. But there are too many to ignore. Perhaps what the ancients meditated upon is the same structure science is reaching towards, and the same structure seen in altered states of consciousness. If the universe is sound based, perhaps the wave-structure formed by the primordial sound corresponds to a similar fractal torus structure?

Many of these connections already exist in literature and in esoteric theory. Some were abstract, some pointed directly to a torus, though not, as far as I know, to this particular variation. This is therefore a synthesis of many people's work over millennia, seen through the lens of my own. I'm assembling it with humility and respect, hoping we notice that we are all telling the same story through different lenses.

I have made 26 connections so far, and I hope to add more. I'm giving equal weight to each tradition, so if you spot flaws or biases in the text or visual, they aren't intentional, and I hope to improve these over time.

Artwork “Tortoise” and the visualiser at: https://nurecas.com/tortoise?o

Iteration of this work titled TOR , but animated.

As always, the live, interactive build available here. (It is a very heavy build, so might be slow to run.)

Iteration of this work titled TOR , but animated.

As always, the live, interactive build available here. (It is a very heavy build, so might be slow to run.)

Oppositely chiral Hopf fibers generate a lattice of interstitial sites. At each site, a tangent-aligned copy of the complete construction is recursively inserted and scaled by the site’s exact distance from the parent fibers. A support bound ensures that every descendant nest remains contained within its generating interstice.
Built in Threejs with Chatgpt.

Live interactive version available. Play with it here.

Oppositely chiral Hopf fibers generate a lattice of interstitial sites. At each site, a tangent-aligned copy of the complete construction is recursively inserted and scaled by the site’s exact distance from the parent fibers. A support bound ensures that every descendant nest remains contained within its generating interstice.

Live interactive version available. Play with it here .

Two opposite-chirality Hopf fiber bundles, superimposed. The gaps between the fibers fill into diamond gems, each with a dark eye at its centre. Watch till the end..interactive version available here:
https://tb45bmx5xeestjcrriuq2yb2tqmajn66hg73l6ywqxq7dteei2xa.arweave.net/mHnQsv25CSmkUYopDWA6nBgEt945v7X7FoXh8cyERq4

P.S: these links are on arweave, hence the long URL. They are safe nevertheless.

Sharing the video of the interactive artworks too. You can try it out at:
https://nurecas.com/nameless?rddmrl
https://nurecas.com/source?rddmrl

For anyone interested in the live, interactive art of my previous shares: "Source" and "Lattice", these are available for viewing at the top and bottom of this page on my website. Thanks for all the support.

Was wondering what would happen if we stack the Hopf fibres...tried the flower of life arrangement for each layer. a bit of a crude video, sped up.

I was trying to see whether to post the video or this screenshot. Finally decided to post the image in this sub since it is more relevant here. To see the video and read the details, please check this post:
https://www.reddit.com/r/holofractal/s/AlKu5wEMYw

Connecting the Chladni sphere (from this post) to the corresponding Hopf fibration.... exploring the "universe is a standing-wave" paradigm of the Nameless framework

P.S: Also this screenshot from the threejs build above seemed relevant/interesting

Further refining the "universe is a standing-wave" model of the Nameless framework ( https://nurecas.com/Nameless?ref=chsp )

Perhaps I am pattern matching here....but observing the latest visuals of Blackholes, I just can't stop wondering if the lines around the centre are akin to Hopf fibration (like a vortex in spacetime).
Rotating the same along the horizontal axis gives a toroidal structure almost similar to an Einstein-Rosen bridge.

P.S: made the interactive art as part of a framework Ive been working on which arrives at nested toruses.

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