2026-03-23T01:41:57Z https://yabu.me Craig S. Kaplan https://yabu.me/npub1lt5mjt52e6wcws9vdfszvfv0c03shmln7cm5c6a5ngdg5ej4xjsqz55683 https://media.mathstodon.xyz/accounts/avatars/000/005/874/original/fe043087b15da288.jpg https://media.mathstodon.xyz/accounts/avatars/000/005/874/original/fe043087b15da288.jpg https://yabu.me/nevent1qqsqxqepgj29fr9t6hpqx49j942tvzwxpxvt5v9vw3yw02wur4yk2agzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qxvr75s In reply to <a href='/nevent1qqs0zlprl3rewnnk97hns30tjqtzzgm4df0qkqteh0v0sdqmu9g2x2qpz4mhxue69uhhyetvv9ujuerfw36x7tnsw43qj78v2a'>nevent1q…8v2a</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqqdmvd6xtmfm6w0f7rnqkkq2477q8uxpq345p55vu8emf8zmqsytshpyxlh" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqqdmvd6xtmfm6w0f7rnqkkq2477q8uxpq345p55vu8emf8zmqsytshpyxlh</span> (<span class="italic">nprofile…yxlh</span>)</a></span> The video won’t play for me, but that looks like Arthur Ganson’s “Machine with 27 scraps of paper”, which has long been a favourite of mine. 2026-03-23T01:25:57Z https://yabu.me/nevent1qqsrlmnwdhc750dg8mrxtjvja298r3a5yuam7dzkt7s47pu9q5tsusszyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q78gmh5 In my online undergraduate P5.js course, students are about to begin the module on motion and physics, including a bit of physics simulation using Matter.js. It suddenly occurred to me that I had never seen anybody put together this particular demo before, and I realized it had to be done. Messy source code at <a href="https://editor.p5js.org/isohedral/full/vJa5RiZWs">https://editor.p5js.org/isohedral/full/vJa5RiZWs</a>.<br/><br/><video controls width="100%" class="max-h-[90vh] bg-neutral-300 dark:bg-zinc-700"><source src="https://media.mathstodon.xyz/media_attachments/files/116/162/786/689/835/359/original/62d579f72469c1d2.mp4"></video> 2026-03-03T02:07:05Z https://yabu.me/nevent1qqsv7mrxht35jct49kta7jq69w92kpcg722ff422pgjsex5vvn7lf5qzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qu6v2gp In reply to <a href='/nevent1qqs004kxlqft89scarkcfz7k4qplfyhjhexswm3jn7ye3xjj8arqfpspz4mhxue69uhhyetvv9ujuerfw36x7tnsw43q5ut4rd'>nevent1q…t4rd</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqqdmvd6xtmfm6w0f7rnqkkq2477q8uxpq345p55vu8emf8zmqsytshpyxlh" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqqdmvd6xtmfm6w0f7rnqkkq2477q8uxpq345p55vu8emf8zmqsytshpyxlh</span> (<span class="italic">nprofile…yxlh</span>)</a></span> Yes, the notation is hard to beat! The trouble tends to come in the implementation, where a naive representation of geometric objects tends to require an exponential number of coefficients. I assume there&#39;s some nice research to be done in compilation methods for GA that perform static type inference on the objects being processed (which are usually quite tame) and emit efficient code. I haven&#39;t looked too hard to see what&#39;s already been done in this context. 2026-01-29T18:08:12Z https://yabu.me/nevent1qqswj589pp7hfaz6te2w4909jrdntmeq97sz35ap6ghpvwgftxdzewszyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q6ckps6 In reply to <a href='/nevent1qqsw0jm8n3rx5ays4n55gmyfktajl4gl8ck63c822hylzrpw46jqnlgpz4mhxue69uhhyetvv9ujuerfw36x7tnsw43qk8qny4'>nevent1q…qny4</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqe2z26rv2fk5f9k8ex3xtu6whu5425u7dvn4ju40xr4hfve5q83uqwdjydu" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqe2z26rv2fk5f9k8ex3xtu6whu5425u7dvn4ju40xr4hfve5q83uqwdjydu</span> (<span class="italic">nprofile…jydu</span>)</a></span> Brian Wyvill wrote a fun paper about drawing pictures based on the Gosper curve: <a href="https://webhome.cs.uvic.ca/~blob/publications/flowpaint.pdf">https://webhome.cs.uvic.ca/~blob/publications/flowpaint.pdf</a>. 2026-01-22T16:35:48Z https://yabu.me/nevent1qqs0fc7dhmhy8l3wwy6kuku6cp39d5ptkdj45u08fwys6cc5pxezt3qzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qapz9lc In reply to <a href='/nevent1qqs2cj9uyugj7uatvv33qgg8amm8c5v7lzanltczs7axeg4xnfzuxmqpz4mhxue69uhhyetvv9ujuerfw36x7tnsw43qc5v3ku'>nevent1q…v3ku</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqn5m2nzhgp2ma9wxvrfzs46p34slg4pqpuhrj5uysdperw325564slkzl3j" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqn5m2nzhgp2ma9wxvrfzs46p34slg4pqpuhrj5uysdperw325564slkzl3j</span> (<span class="italic">nprofile…zl3j</span>)</a></span> That&#39;s just about perfect, thanks. 2026-01-22T01:52:17Z https://yabu.me/nevent1qqs0q57xquqhnugar3h6uthx3ufnkg9edz66duetwk77rgzw0c8slmqzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q35ue0s In reply to <a href='/nevent1qqsr0nyn9k8cqljuruxle4agyp868rhl6yw5tt036sahcqz2s4k8r8qpzemhxue69uhhyetvv9ujuerfw36x7tnsw43z7rszlnh'>nevent1q…zlnh</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyqscmj9x6m32fy8njlxrhyctj7lg2nhauw22pg42mpnqvsmzx33ag6ml4xy" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyqscmj9x6m32fy8njlxrhyctj7lg2nhauw22pg42mpnqvsmzx33ag6ml4xy</span> (<span class="italic">nprofile…l4xy</span>)</a></span> Well, I mean, I&#39;m the site owner, and I can tell you that I didn&#39;t configure this message and have never seen it before. Presumably it&#39;s baked into our provider&#39;s web server. I suppose I could... just follow their instructions, and send them the request ID... 2025-12-21T16:32:54Z https://yabu.me/nevent1qqsqndhjy37pqp5qc35f7592zaeuzh7g3vp9lwf67pcdqumwvkkalzgzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qhqlu9g In reply to <a href='/nevent1qqsvldx5l92xy5w0wunwymxjhqvp742u58r38ngcx5mqqx4qjcr8d7cpzemhxue69uhhyetvv9ujuerfw36x7tnsw43z7vm2cgd'>nevent1q…2cgd</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyqscmj9x6m32fy8njlxrhyctj7lg2nhauw22pg42mpnqvsmzx33ag6ml4xy" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyqscmj9x6m32fy8njlxrhyctj7lg2nhauw22pg42mpnqvsmzx33ag6ml4xy</span> (<span class="italic">nprofile…l4xy</span>)</a></span> Weird. it&#39;s working for me, and I&#39;ve never seen that error before. Are you using anything unusual in terms of browser / OS / extensions? 2025-12-21T02:40:18Z https://yabu.me/nevent1qqsgrt6ea40vjrvtta5c4rp6dlv48lj20yy5v37cq8gs2hzk6d5vmhszyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qgdx23z In reply to <a href='/nevent1qqsv03ks8la057ympk3krxckrh2mzskvl0tsq7ewp3xd34me6zp669spzemhxue69uhhyetvv9ujuerfw36x7tnsw43z758zl3r'>nevent1q…zl3r</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqypq7du7md5fwxn3nem9hzahcqw7qnk7le6d6cgvsygmg0p8hnfgqczhu6hy" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqypq7du7md5fwxn3nem9hzahcqw7qnk7le6d6cgvsygmg0p8hnfgqczhu6hy</span> (<span class="italic">nprofile…u6hy</span>)</a></span> I talk about a few variations of Kepler’s tiling in an old Bridges paper. <a href="https://archive.bridgesmathart.org/2006/bridges2006-465.pdf">https://archive.bridgesmathart.org/2006/bridges2006-465.pdf</a> 2025-11-11T13:44:12Z https://yabu.me/nevent1qqst4yxs7mnhmfx32walsdy94a8nsrqkgsm9vnk96x99e4yey3epafqzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qc0rxnv The delusion that we can advance AI to the point where it rescues us from the mess we’ve created for ourselves is pure millenarianism. The CEOs of the big AI companies are a cult who believe that if they pray hard enough, AI Jesus will come down and grant us infinite abundance and prosperity. 2025-10-12T20:38:56Z https://yabu.me/nevent1qqsf0vgytdla40tucylk0e0cgjwxp4cv5cs0h4dx05na8erw8stuqwqzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q42q0fh Over the summer I thought a bit about a few 2D geometric problems that I hadn&#39;t seen before. Here&#39;s the first one.<br/><br/>Let 𝑃 and 𝑄 be 2D points and let 𝑛 be an integer ≥ 3.<br/><br/>Let 𝑆 be a shape (say, a topological disk) with 𝑛-fold rotational symmetry, and place two non-overlapping copies of 𝑆 in the plane, one centred on 𝑃 and the other centred on 𝑄. The copies may be rotated and/or reflected differently from each other.<br/><br/>What shape 𝑆 should I choose, and how should I orient the two copies, so as to maximize the area of 𝑆?<br/><br/>I&#39;m assuming the answer is two congruent regular 𝑛-gons, each with an edge on the perpendicular bisector of 𝑃𝑄. But I&#39;m not sure I have a convincing proof of that fact. 2025-08-24T02:30:40Z https://yabu.me/nevent1qqs00khn544nnzmurjyesfqpng4draq8swtadufnkgny4ew7qtp0m0qzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q0qrwec In reply to <a href='/nevent1qqs9dpenh8kymdm4uqxw35h62sfyyfsdxktzsuy8hd288ew5f8kttmcpz4mhxue69uhhyetvv9ujumt0wd68ytnsw43qurd509'>nevent1q…d509</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x</span> (<span class="italic">nprofile…yu7x</span>)</a></span> <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqqlrgstuw2qvdjgkkx6u20vamttcx6tvs7qq4lmmn5d0lzk4gtgrq6ysvv0" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqqlrgstuw2qvdjgkkx6u20vamttcx6tvs7qq4lmmn5d0lzk4gtgrq6ysvv0</span> (<span class="italic">nprofile…svv0</span>)</a></span> I just read it yesterday. The ideas are lovely, though unfortunately I still struggle mightily with the discrete exterior calculus and discrete differential geometry that powers this work (and so much other beautiful contemporary research in computer graphics). 2025-08-13T15:04:09Z https://yabu.me/nevent1qqsvc7x8pp66h4c2r0cenyy3avpfekeyt94fkmx7gft3e5a4au4arnczyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qmg6yfe My son informed me of a phenomenon that&#39;s well known among D&amp;D players: a D12 (dodecahedron) rolls much farther than a D20 (icosahedron). Is there an obvious reason why this should be? I can imagine a couple of possibilities, but I wouldn&#39;t know how to verify them.<br/><br/>(I suppose I should tag <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqqlvywagxxkcu2p6qmfsjv45xh5a3d2ghac4tsvvvap064whcmljsrpdcr8" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqqlvywagxxkcu2p6qmfsjv45xh5a3d2ghac4tsvvvap064whcmljsrpdcr8</span> (<span class="italic">nprofile…dcr8</span>)</a></span>, given his recent work on the physics of rolling dice.) 2025-07-28T14:11:04Z https://yabu.me/nevent1qqstlw2jhxwhms3lcpl75tlpw95j20kf8dq225v73f08kx9dhthkd9szyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qjqc7mr In reply to <a href='/nevent1qqs8lvq5q9mstyfngdpf6908rrkz7xjvgyd5wzlh3p0shla0cg2gxfcpz4mhxue69uhhyetvv9ujumt0wd68ytnsw43qw03jxn'>nevent1q…3jxn</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x</span> (<span class="italic">nprofile…yu7x</span>)</a></span> Dave Swart wrote a nice survey of symmetries of soccer balls: <a href="https://archive.bridgesmathart.org/2015/bridges2015-151.pdf">https://archive.bridgesmathart.org/2015/bridges2015-151.pdf</a>. Mind you, a lot of the designs in that paper acquire their exotic symmetries through graphics printed on a standard 32-panel ball.<br/><br/>If you want balls on the far more experimental side, check out the beautiful work of Jon-Paul Wheatley, e.g., <a href="https://12p.com/pages/lab">https://12p.com/pages/lab</a>, <a href="https://www.instagram.com/jonpaulsballs">https://www.instagram.com/jonpaulsballs</a>. Of course, there&#39;s one design of his that I&#39;m particularly attached to: <a href="https://12p.com/pages/the-hat-trick">https://12p.com/pages/the-hat-trick</a>. 2025-07-26T14:43:16Z https://yabu.me/nevent1qqsd4wpefyhrhyzqyfd09vvz2x5q8rerx08puwrx9srxlz8zqm3v90qzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qtq64sh In reply to <a href='/nevent1qqs0eee3ugqm3kg62favdq9me4v86jykwkw7u0v8xel8yz6h8vwvw8gpz4mhxue69uhhyetvv9ujumt0wd68ytnsw43qdzw5ql'>nevent1q…w5ql</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k</span> (<span class="italic">nprofile…fa4k</span>)</a></span> OK, sure, not actually a glitch, but from a typical zoom level it looks like there are some weird black pixels in the middle of nowhere. I had to zoom in to see what was clearly going to be a place with an interesting history.<br/><br/> <img src="https://media.mathstodon.xyz/media_attachments/files/114/886/510/137/788/705/original/3779bcb68743b74d.png"> 2025-07-20T16:31:56Z https://yabu.me/nevent1qqs9vlxm8ew97udtqgyppfg3wv869et20z2k005f4kyr7m5f58l37rgzyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qly0rec In planning my travels around The Netherlands, I noticed a funny glitch on Google Maps near the souther border. It turns out that the town of Baarle-Nassau has 22 &#34;holes&#34; in it, self-contained enclaves belonging to Belgium (in which the town is called Baarle-Hertog). And more deliciously, a couple of them contain &#34;counter-enclaves&#34; that are Dutch again! I&#39;m sure many people have seen this before, but it was new to me. <a href="https://en.wikipedia.org/wiki/Baarle-Nassau">https://en.wikipedia.org/wiki/Baarle-Nassau</a> 2025-07-20T07:44:56Z https://yabu.me/nevent1qqsvs6crjevampg3srhnx304hv3l6qlxc7jhjqzccv7ps2ax5t8e9kczyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qtrm433 In reply to <a href='/nevent1qqsvhupx398vh59t4vk549c56a9l4yt492p99p7hgqjcmzhmgdy6rpspz4mhxue69uhhyetvv9ujumt0wd68ytnsw43q7f67mk'>nevent1q…67mk</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqyxxu3fkku2jfpuuhesaexzuhh6z5al0rjjs292kcvcryxc35v02q9jsaev" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqyxxu3fkku2jfpuuhesaexzuhh6z5al0rjjs292kcvcryxc35v02q9jsaev</span> (<span class="italic">nprofile…saev</span>)</a></span> Ha ha, I literally played with these puzzles at Oskar&#39;s house yesterday. When you get the correct motion, the way that the elements slide around each other is really cool. 2025-07-20T07:36:18Z https://yabu.me/nevent1qqs03rc2yzfvk54p4p3ajnu92hfkrls0wdn3gwgdpqsgadfguq5pncszyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q6n4t6u Font nerds: have you noticed that ChatGPT seems to have learned a &#34;default font&#34; when rendering images? A slightly rounded sans-serif, maybe a little narrow. It&#39;s immediately recognizable (which is nice, because it allows me to identify AI slop). It reminds me of Avería, an old project to generate an &#34;average font&#34;: <a href="http://iotic.com/averia/">http://iotic.com/averia/</a>. <br/><br/>(Image and alt-text from Lucy Rycroft-Smith <a href="https://bsky.app/profile/honeypisquared.bsky.social/post/3lsizpkfiuc27">https://bsky.app/profile/honeypisquared.bsky.social/post/3lsizpkfiuc27</a>)<br/><br/> <img src="https://media.mathstodon.xyz/media_attachments/files/114/749/748/229/857/541/original/2cb6a9d3f3601654.png"> 2025-06-26T12:51:57Z https://yabu.me/nevent1qqsyw0t6wr03t8uhzyfypemsrwax8fscx85h2uatk59yd8lzczk644szyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q4p7cxc In reply to <a href='/nevent1qqs9cze5cx6w9xdnahpyycuj8y52acju6gkfyj3rvxl7vhj4dua0kcgpz4mhxue69uhhyetvv9ujumt0wd68ytnsw43qy6j23z'>nevent1q…j23z</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqyxxu3fkku2jfpuuhesaexzuhh6z5al0rjjs292kcvcryxc35v02q9jsaev" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqyxxu3fkku2jfpuuhesaexzuhh6z5al0rjjs292kcvcryxc35v02q9jsaev</span> (<span class="italic">nprofile…saev</span>)</a></span> Years ago I saw a similar error in an exhibit at the British Museum. I contacted them to point out the problem. They weren’t particularly concerned. 2025-06-18T21:54:40Z https://yabu.me/nevent1qqspf0tjxdlejk4sqc6z6rszdumdxltvrcfwxk3vl3j8e56alqm9dhczyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562qm0n8z4 There are plenty of practical examples of rendering two-dimensional hyperbolic tilings interactively using GPU programming. Does anyone know of an academic paper on the topic? Or something like a GPU Gem? I&#39;d like to have a piece of writing I can give to students to read. 2025-03-29T15:52:45Z https://yabu.me/nevent1qqsvv48qezrunjcuwf7mv4p8pes4lgvfv2q9t4hz0gfgzeavngd2xsczyrawnwfw3t8fmp6q434xqf393lp7xzl070mrwnrtkjdp4znx2562q43xm4l In reply to <a href='/nevent1qqsv6zd3tklncrjrsnldd6h284swhqs4h4jf9r8zqw5km2v2mdzx4pqpz4mhxue69uhhyetvv9ujumt0wd68ytnsw43q2m09x0'>nevent1q…09x0</a><br/>_________________________<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k</span> (<span class="italic">nprofile…fa4k</span>)</a></span> This reminds me of a rather nice piece of installation art from 2013, in which (from a mathematical viewpoint) a film sequence is projected onto the subspace spanned by a set of frames from another film. It’s titled “Theorem 8”, presumably based on whatever textbook the artist used as a reference. <a href="http://theorem8.concept-script.com/">http://theorem8.concept-script.com/</a> 2025-02-28T13:10:04Z