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Description

i know twilight would have LOVED the first ever monotile that was just discovered.
An aperiodic monotile

Tags
Edit History (14)
safe
2279057 artist:manicpanda
121 applejack
208379 twilight sparkle
371314 alicorn
336382 earth pony
550137 pony
1708840 g4
2121719 adorkable
4277 cute
280048 dork
4639 drinking
5611 excited
4516 eyes closed
148956 fancy mathematics
263 female
1909550 glass
7365 hoof hold
14542 information dump
8 information dumping
5 jug
191 mare
812666 math
1006 monotile
3 no pupils
6752 open mouth
257203 simple background
644417 sitting
100208 smiling
430726 speech bubble
45120 table
14089 tan background
743 tesselation
1 text
98200 thought bubble
6034 topology
14 twiabetes
16306 twilight sparkle (alicorn)
155128 wall of text
770 wide eyes
20475
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5 comments posted
Background Pony #C22C
“And how does that affect the price of apples?”
“Uhm, it doesn’t.”
“…”
“…”
“Okay then.”
Posted Report
Background Pony #94A4
@JP
I read about that shape a few days ago. My immediate thought was “if you could create textures in that shape, then textures in video games would never tile visibly again”. Perhaps someone will do that experiment soon?
Well, as long as the textures are flat. This tiling depends on a certain kind of self-similarity; it’s assembled into larger and larger units that all tile in aperiodic way. You really need Euclidean geometry for that.
Posted Report
Background Pony #94A4
I’m proud to belong in a Google group about tilings where all four of the article’s authors post. There was a lot of discussion once they unveiled this thing :) I wonder if I should show them this picture?
Posted Report
JP
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I read about that shape a few days ago. My immediate thought was “if you could create textures in that shape, then textures in video games would never tile visibly again”. Perhaps someone will do that experiment soon?
Posted Report