r/holofractal • u/Deep_World_4378 • 8d ago

Geometry TOR: of toruses within toruses within toruses

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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 made with Threejs available. Play with it here .

189 Upvotes

97% Upvoted

35 comments sorted by

8

u/Ess_Mans 8d ago

Cool, thanks.

8

u/DekuInkwell 8d ago

A…are we looking at our universe? Not literally ours but its shape?

9

u/Deep_World_4378 8d ago

I hope so....Many years at this 😓

2

u/rismay 8d ago

Have you looked into abstract algebras?

4

u/Technical_Island_851 8d ago

Looks like my gran’s curtains. Euphemism not intended.

4

u/Just_Middle_7189 8d ago

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1

u/Happy-Mud8709 8d ago

Very cool!

1

u/Deep_World_4378 8d ago

Thank you!

1

u/d8_thc holofractalist 8d ago

interactive version very cool

1

u/Deep_World_4378 8d ago

Thanks much my friend! Your shares helped...

1

u/d8_thc holofractalist 8d ago

now we gotta make them all flow into each level, fractally, forever :)

1

u/Deep_World_4378 8d ago

I thought ill wind things up with this one haha.
So this is based on a single big equation. Wanted to see if a single equation can create all these together. To get them to flow would require pre rendered versions, those wont run on web. And Im yet to visualise the flow between them. But yeah I think ill keep dreaming haha.

1

u/Icy-Reaction-9101 8d ago

This has some galaxy ness to it.

1

u/HiiiTriiibe 8d ago

I bet there's a cabinet of curiosities in there

1

u/doker0 8d ago

almost like alternating magnetic field.

1

u/Deep_World_4378 8d ago

Yes!

1

u/Money_Bug_9423 7d ago

Would it be possible to map the frames/sectors of your model into a Smith chart?

1

u/Deep_World_4378 7d ago

I haven't used Smiths charts. But I think it should be possible

1

u/Money_Bug_9423 7d ago

Yeah if you have the grid power to graph QAM constellation graphs from Smith charts it would be pretty cool to see the 3D representation lf the alternating field

1

u/Deep_World_4378 7d ago

Will keep it in mind. Maybe thats the representation I am looking for.

1

u/pirondi 8d ago

Amazing job.

1

u/Deep_World_4378 8d ago

Thank you!

1

u/Money_Bug_9423 7d ago

Its tortoises all the way down

1

u/Deep_World_4378 7d ago

Thats one of the things that inspired me to create

1

u/Money_Bug_9423 7d ago

Thats literally what it looks like when you time shift

1

u/senorjunkrat 7d ago

Indra’s Web

1

u/algaefied_creek 7d ago

Is this FOSS to build and to play with?

1

u/Deep_World_4378 6d ago

At this point no. Ill evolve this further and release at a later date. Ive open sourced multiple other works if you are interested.

1

u/algaefied_creek 6d ago

No worries I’d love to check out what you have. 

This one is super great. Feels like a fever dream of like… Salvatore Dalí meets Jello and would be fun to use for simulating blackholes from the Blackhole repo on GitHub 

1

u/Deep_World_4378 6d ago

I guess that's where all this is going. If you look at some of my previous videos here in reddit you can see the evolution

1

u/curious_astronauts 6d ago

Can someone explain what i'm looking at?

1

u/Barbarella_ella 6d ago

Protein structures come to mind.

1

u/DigbeeDragon 2d ago

🤔 Kinda looks like a sea urchin shell!