Fang Fang – A New Method For Generating Empires In Quasicrystals
Fang Fang presents a new method of generating empires for local vertex configurations in quasicrystals.
She introduces the concept of the empire problem in quasicrystals and its important application in modeling non-local particle interaction in physics. Two old methods of generating the empire of the Penrose tiling are briefly introduced. And a new method, the cut-and-project method, along with its advantages compared with the two old methods, are introduced and discussed in more details.
Fang Fang is a senior research scientist at Los Angeles based Quantum Gravity Research.
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@Seiffouri
September 8, 2025 at 4:59 am
Mind blowing!
@203066111
September 8, 2025 at 4:59 am
how will this shape be effected, it if was used in space, like mars for instance. Maybe the housing dome…can space fungus eat this shape at the same speed compared to tetrahedral shape? and can this shape be used to make better products?
@flatmosquito
September 8, 2025 at 4:59 am
The superpositions of indeterminate worm lines around the empire of the tile set is a very satisfying way of visualizing the combinatorics of tile combinations available for that finite patch – thanks for posting this 😀 Your explanation for how to calculate the empire from the cut-and-project method seems so obvious in hindsight – it is surprising that no one had done it before!
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September 8, 2025 at 4:59 am
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@DANTHETUBEMAN
September 8, 2025 at 4:59 am
great vid, really understandable,, well most of it,, it is vary easy for her to go over my head on this, but what i need to know is who is the girls face she doodles on her paper? 🙂 you would need artistic creative people to work this stuff out.
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September 8, 2025 at 4:59 am
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September 8, 2025 at 4:59 am
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@michaelcharlesthearchangel
September 8, 2025 at 4:59 am
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@DrumFFx
September 8, 2025 at 4:59 am
Lol the end. and that's it!
question: can this be represented or explained in 3D?
@DrumFFx
September 8, 2025 at 4:59 am
are these lab created crystals? or natural crystals?. i'm sorry.. probably not a relevant question. but all so very interesting to me.
@DrumFFx
September 8, 2025 at 4:59 am
i'm like smallest element with no empire ._.
@MrFyingSnake
September 8, 2025 at 4:59 am
So, do you think the Empire Possible Space's relation to the QC window, which must contain the empire window, will be responsible for the probability wave distribution of un-observed information?
@bretthawkes5957
September 8, 2025 at 4:59 am
Local patch is the fractal the empire field a frequency crystal structure. Seems to complicate things. Thanks for posting
@darrelllashmar7905
September 8, 2025 at 4:59 am
You have to lose the idea of no gaps to achieve a quasi-crystal. Filling space is not so easy in 3D. Solid shapes just ain't going to cut it. Good luck with it, signing off Darrell6390.
@deadscenerecords
September 8, 2025 at 4:59 am
Wow, whether or not QGR's principal theory is correct, this is some superb geometric research of Penrose tiling.
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