Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @gregeganSF@mathstodon.xyz <p>Collaboratively solving a word puzzle with a relative yesterday:</p><p>They: Ruth.<br />Me: That’s not a word!<br />They: You can be ruthless, so …<br />Me: That makes sense, but English is not that logical!<br />Concise dictionary: No “ruth”.<br />Complete dictionary: Archaic now, but yes, “ruth”: a feeling of pity, distress, or grief.</p> @gregeganSF I suppose the same is true of "reck" or "feck".
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @11011110@mathstodon.xyz <p>You might know that if you make a Sierpinski tetrahedron (by subdividing a regular tetrahedron into four smaller tetrahedra at its corners and a central regular octahedron, removing the octahedron, and recursing) and then stop after finitely many levels, you get a set of vertices that from certain directions projects onto a square grid. But did you know that listing the third (projected out) coordinate for these grid points gives them the structure of a Latin square? And that using a different Latin square than the 2x2 one as the basis for recursion can produce other fractal sets that have the same property of projecting to a square from certain directions? See section 4 of Hideki Tsuiki's "Imaginary Cubes — Objects with Three Square Projection Images", <a href="https://archive.bridgesmathart.org/2010/bridges2010-159.pdf" target="_blank" rel="nofollow noopener" translate="no"><span class="invisible">https://</span><span class="ellipsis">archive.bridgesmathart.org/201</span><span class="invisible">0/bridges2010-159.pdf</span></a></p> @11011110@mathstodon.xyz You can also think of a Sierpinski tetrahedron as the graph of the XOR function.
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 7mo ago Replying to @j_bertolotti@mathstodon.xyz Random reminder that, despite what you read in "Lord of the Flies", when a real group of teenagers happened to get stranded on a inhabited island, they didn't start killing each other. On the contrary they worked together, built a commune, and survived in good health for 15 months (when they were saved by a passing ship). Most people are good people. Even teenagers 😉 https://en.wikipedia.org/wiki/Tongan_castaways @j_bertolotti According to "Lord of the Flies," in the absence of authority, a society will go to pieces. The authorities loved it.
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @ids1024@mathstodon.xyz <p>2030s: Repeated mistakes by US solidify China as the world's leading economic superpower.<br />2040s-2050s: Chinese demographic crisis leads to India leading the world.<br />2060s-2070s: Brazilian world domination.<br />2080s-2090s: Human control of Brazil falls after repeated capybara revolts; Nigeria becomes leading economic power.<br />2100: Balkan states settle differences and unify. The Balkan Empire is unstoppable.</p> @ids1024 Are the capybaras behind Buc-ee's?
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 7mo ago Replying to @flamingspork@tacobelllabs.net <p>if you're using a program to compare vehicles in wales' largest city, you're performing a Cardiff car diff,</p> @flamingspork That also applies if you're comparing the contents of the address register.
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @TonyVladusich@mathstodon.xyz Dude probably planned his assassination using ChatGPT! Assassins just ain’t what they used to be. @TonyVladusich That would explain why his manifesto sounded like anti-Trump editorials ground up and extruded onto a page.
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @albertcardona@mathstodon.xyz <p>1. Invent an illness;<br />2. Put up a couple of preprints about it;<br />3. See AI companies' web crawlers swallow it hook, line, and sinker whole;<br />4. LLMs start telling users that the condition is real. WTF.<br />5. See published papers cite them, likely from authors using LLMs to write them. WTAF.</p><p><a href="https://www.nature.com/articles/d41586-026-01100-y" target="_blank" rel="nofollow noopener" translate="no"><span class="invisible">https://www.</span><span class="ellipsis">nature.com/articles/d41586-026</span><span class="invisible">-01100-y</span></a></p><p><a href="https://mathstodon.xyz/tags/LLMFail" class="mention hashtag" rel="tag">#<span>LLMFail</span></a> <a href="https://mathstodon.xyz/tags/LLMs" class="mention hashtag" rel="tag">#<span>LLMs</span></a> <a href="https://mathstodon.xyz/tags/chatbots" class="mention hashtag" rel="tag">#<span>chatbots</span></a> <a href="https://mathstodon.xyz/tags/Bixonimania" class="mention hashtag" rel="tag">#<span>Bixonimania</span></a></p> @albertcardona@mathstodon.xyz Cf. https://xkcd.com/978/ xkcd Citogenesis
Open post Joseph Hertzlinger @jhertzli@mathstodon.xyz · 5mo ago Replying to @henryseg@mathstodon.xyz @Ianagol@mathstodon.xyz @hallasurvivor@sunny.garden The video addresses how out-of-reach the monster group is! @henryseg@mathstodon.xyz @Ianagol@mathstodon.xyz @hallasurvivor@sunny.garden How wide would a monster puzzle be in astronomical units? (That sounds like the right unit.)