{"id":173106,"date":"2026-05-31T21:12:46","date_gmt":"2026-05-31T21:12:46","guid":{"rendered":"https:\/\/mycryptomania.com\/?p=173106"},"modified":"2026-05-31T21:12:46","modified_gmt":"2026-05-31T21:12:46","slug":"an-ai-cracks-an-80-year-old-geometry-puzzle-what-do-mathematicians-make-of-it","status":"publish","type":"post","link":"https:\/\/mycryptomania.com\/?p=173106","title":{"rendered":"An AI Cracks an 80-Year-Old Geometry Puzzle. What Do Mathematicians Make of It?"},"content":{"rendered":"<p>Eight decades after Paul Erd\u0151s posed the unit distance problem in 1946, a general-purpose AI has produced configurations that beat the long-standing conjectured bounds, proving at least n^(1+\u03b4) unit-distance pairs for some \u03b4&gt;0. Mathematicians at Princeton have verified the result, with figures like Tim Gowers and Arul Shankar calling it a significant advance. An 80-year-old [\u2026]<\/p>","protected":false},"excerpt":{"rendered":"<p>Eight decades after Paul Erd\u0151s posed the unit distance problem in 1946, a general-purpose AI has produced configurations that beat the long-standing conjectured bounds, proving at least n^(1+\u03b4) unit-distance pairs for some \u03b4&gt;0. Mathematicians at Princeton have verified the result, with figures like Tim Gowers and Arul Shankar calling it a significant advance. An 80-year-old [&hellip;]<\/p>\n","protected":false},"author":0,"featured_media":173107,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-173106","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-interesting"],"_links":{"self":[{"href":"https:\/\/mycryptomania.com\/index.php?rest_route=\/wp\/v2\/posts\/173106"}],"collection":[{"href":"https:\/\/mycryptomania.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mycryptomania.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/mycryptomania.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=173106"}],"version-history":[{"count":0,"href":"https:\/\/mycryptomania.com\/index.php?rest_route=\/wp\/v2\/posts\/173106\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mycryptomania.com\/index.php?rest_route=\/wp\/v2\/media\/173107"}],"wp:attachment":[{"href":"https:\/\/mycryptomania.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=173106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycryptomania.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=173106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycryptomania.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=173106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}