{"id":191194,"date":"2024-06-13T22:28:06","date_gmt":"2024-06-14T03:28:06","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/06\/graphics-archive-special-topics-hyperbolic-geometry"},"modified":"2024-06-13T22:28:06","modified_gmt":"2024-06-14T03:28:06","slug":"graphics-archive-special-topics-hyperbolic-geometry","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/06\/graphics-archive-special-topics-hyperbolic-geometry","title":{"rendered":"Graphics Archive \u2014 Special Topics: Hyperbolic Geometry"},"content":{"rendered":"<p style=\"padding-right: 20px\"><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/graphics-archive-special-topics-hyperbolic-geometry2.jpg\"><\/a><\/p>\n<p>\u201cEvery simply connected, closed 3-manifold is homeomorphic to the 3-sphere.\u201d \u2014 The Poincar\u00e9 Conjecture.<\/p>\n<p>\u201cEvery simply connected, closed 3-manifold is homeomorphic to the 3-sphere.\u201d<\/p>\n<p>- The Poincar\u00e9 Conjecture photo credit : <a href=\"https:\/\/bit.ly\/2KDYLoC\">https:\/\/bit.ly\/2KDYLoC<\/a><\/p>\n<p>If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving it slowly, without tearing it and without allowing\u2026<\/p>\n<hr>\n<p>Comments to: <a href=\"http:\/\/www.geom.uiuc.edu\/admin\/mail\/webmaster.html\">webmaster@www.geom.uiuc.edu<\/a> Created: Tue Feb 11 7:10:27 CST 1997 \u2014 Last modified: Tue Feb 11 7:10:27 CST 1997.<\/p>\n<p>Copyright \u00a9 1990\u20131995 by <a href=\"http:\/\/www.geom.uiuc.edu\">The Geometry Center<\/a>, University of Minnesota. All rights reserved. For permission to use these images, please contact <a href=\"http:\/\/www.geom.uiuc.edu\/admin\/mail\/permission.html\">permission@geom.math.uiuc.edu<\/a>.<\/p>\n<div class=\"more-link-wrapper\"> <a class=\"more-link\" href=\"https:\/\/lifeboat.com\/blog\/2024\/06\/graphics-archive-special-topics-hyperbolic-geometry\">Continue reading \u201cGraphics Archive \u2014 Special Topics: Hyperbolic Geometry\u201d | &gt;<\/a><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u201cEvery simply connected, closed 3-manifold is homeomorphic to the 3-sphere.\u201d \u2014 The Poincar\u00e9 Conjecture. \u201cEvery simply connected, closed 3-manifold is homeomorphic to the 3-sphere.\u201d \u2014 The Poincar\u00e9 Conjecture photo credit : https:\/\/bit.ly\/2KDYLoC If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-191194","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/191194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=191194"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/191194\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=191194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=191194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=191194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}