#Shorts

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PieSupplies

PieSupplies

Жыл бұрын

Part one of a video series explaining what people mean when they say that these Einstein tiles go on forever without repeating.
I think it's better to say that these tiles don't form a pattern that starts over.
#3dprinting #crafts #makers #maths

Пікірлер: 11
@piesupplies
@piesupplies Жыл бұрын
Clarification: It's not guaranteed that every possible "supertile" is repeated infinitely. Only some supertiles have to be repeated infinitely. Some combinations might not show up at all, because they don't admit a tiling of the plane. Others might show up finite number of times (which would be very interesting)
@Zarunias
@Zarunias Жыл бұрын
When you look at the algorithm of how to construct the whole plane it's easy to see: Every finite configuration that appears at least once will appear an infinite time.
@DesktopMakes
@DesktopMakes 6 ай бұрын
Nice work! How did you get the surface patterns on the prints?
@Apd766
@Apd766 Жыл бұрын
It’s deranged hexagon
@ZetaXhgd
@ZetaXhgd Жыл бұрын
wdym
@ThimsNire
@ThimsNire Жыл бұрын
It's a triskaidecagon (13 sides)
@subhamdhar8099
@subhamdhar8099 Жыл бұрын
​@@ZetaXhgd it is made by cutting hexagon and randomising it
@sjb3460
@sjb3460 3 ай бұрын
@@ThimsNire no, a triscadecagon is made of 27.5 degree triangles. The Hat is made of 60 and 30 degree triangles.
@rosiefay7283
@rosiefay7283 Жыл бұрын
This short video shows what seems to have been Dave Smith's state of knowledge after he discovered this "hat", cut out numerous hats from paper, and found that he could put ever so many hats together. This doesn't amount to a proof though. Why not show us the H_8 and H_7 from Smith et al's paper, and show how *they* tile? That would then go some way to proving that hats tile the whole plane.
@j03man44
@j03man44 Ай бұрын
Chill man, it's a 1 minute short
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