At Long Last, Mathematicians Have Found a Shape With a Pattern That Never Repeats
smithsonianmag.comSubmitted by jwe21 t3_126jq1n in nottheonion
SYLOH t1_jeajdc9 wrote
Reply to comment by YourFatherUnfiltered in At Long Last, Mathematicians Have Found a Shape With a Pattern That Never Repeats by jwe21
That's not what an aperiodic tiling means.
The analogy is:
3.141414141414141414141414 with 14 repeating infinitely would kinda be like periodic.
The first few digits of pi are:
3.141592653589793238462643383279502884197... but it continues on forever.
That's closer to aperiodic.
What you've done is point at the two instances of 97 and said, "see it repeats".
Just like you will never find a finite series of digits that if repeated will give you pi exactly. You will never find a group that if repeated infinitely, would tile infinitely.
jwe21 OP t1_jec201m wrote
Exactly. The research paper goes into this concept actually with larger tiles made with the original tile: https://arxiv.org/abs/2303.10798
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