TE
科技回声
首页24小时热榜最新最佳问答展示工作
GitHubTwitter
首页

科技回声

基于 Next.js 构建的科技新闻平台,提供全球科技新闻和讨论内容。

GitHubTwitter

首页

首页最新最佳问答展示工作

资源链接

HackerNews API原版 HackerNewsNext.js

© 2025 科技回声. 版权所有。

Mathematicians Have Found a Shape with a Pattern That Never Repeats

86 点作者 rfreytag将近 2 年前

10 条评论

saint_abroad将近 2 年前
2 months later we have the &quot;Spectre&quot; - an aperiodic monotile (without reflections): <a href="https:&#x2F;&#x2F;aperiodical.com&#x2F;2023&#x2F;05&#x2F;now-thats-what-i-call-an-aperiodic-monotile&#x2F;" rel="nofollow noreferrer">https:&#x2F;&#x2F;aperiodical.com&#x2F;2023&#x2F;05&#x2F;now-thats-what-i-call-an-ape...</a><p>Edit - a visual explanation of this journey: <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=IfVwelta1fE">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=IfVwelta1fE</a>
评论 #36447127 未加载
jossclimb将近 2 年前
This is not mentioned until half way through, but I find fascinating..<p>&gt; David Smith, a retired printing technician and nonprofessional mathematician, was the first to come up with the shape that could be a solution to the long-standing “einstein problem.” He shared his ideas with scientists who took on the challenge of trying to mathematically prove his conjecture
samwillis将近 2 年前
Significant previous discussion: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=35273707">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=35273707</a><p><i>Mathematicians discover shape that can tile a wall and never repeat (newscientist.com) - 488 points, 3 months ago, 160 comments</i>
评论 #36447466 未加载
once_inc将近 2 年前
This was found months ago, no? I saw several articles about the Einstein back then.
评论 #36446873 未加载
评论 #36447072 未加载
评论 #36447037 未加载
评论 #36447034 未加载
andrethegiant将近 2 年前
Oh shit new shape just dropped
评论 #36446986 未加载
评论 #36447116 未加载
roberthahn将近 2 年前
I would be very interested in seeing what definition of “pattern” this discovery is using.<p>Most definitions I could find (I am not a mathematician) seems to imply one of: repetition, growth or shirking.<p>This shape appears to have none of these properties but they still call it a pattern.
评论 #36447886 未加载
评论 #36448382 未加载
Maxion将近 2 年前
I guess this means that I now should re-tile my bathroom. hmm.
forkerenok将近 2 年前
I still maintain this naive belief that all of math is elegant, and from that perspective 13 sides sounds and looks oddly specific and feels contrived to me, at least without knowing specificities of the field.<p>Where do 13 sides come from? Is it related to a number of transformations?
评论 #36447087 未加载
评论 #36447107 未加载
评论 #36447381 未加载
评论 #36447424 未加载
评论 #36447640 未加载
评论 #36447401 未加载
kfrzcode将近 2 年前
I don&#x27;t get it. The first image I can clearly see patterns of triangular arrangements. What does this news actually mean
评论 #36448530 未加载
youssefabdelm将近 2 年前
Lol it repeats alright... blah blah blah &quot;it doesn&#x27;t technically repeat&quot;... To the brain it does, it&#x27;s like white noise. If I showed you an evolving animation of this shit for 3 hours it would be torture. Someone should measure something like the multiscale entropy of this pattern.<p>Edit: I will say the coolest thing about this is the cross-disciplinary connection hints at a metapattern: <a href="https:&#x2F;&#x2F;youtu.be&#x2F;48sCx-wBs34?t=1007" rel="nofollow noreferrer">https:&#x2F;&#x2F;youtu.be&#x2F;48sCx-wBs34?t=1007</a>
评论 #36447290 未加载