{"id":209607,"date":"2025-03-24T03:06:17","date_gmt":"2025-03-24T08:06:17","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/03\/mobius-strip"},"modified":"2025-03-24T03:06:17","modified_gmt":"2025-03-24T08:06:17","slug":"mobius-strip","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/03\/mobius-strip","title":{"rendered":"M\u00f6bius Strip"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/mobius-strip.jpg\"><\/a><\/p>\n<p>The M\u00f6bius strip, also called the twisted cylinder (Henle 1994, p. 110), is a one-sided <a href=\"https:\/\/mathworld.wolfram.com\/NonorientableSurface.html\">nonorientable <i>surface<\/i><\/a> obtained by cutting a closed band into a single strip, giving one of the two ends thus produced a half twist, and then reattaching the two ends (right figure; Gray 1997, pp. 322\u2013323). The strip bearing his name was invented by M\u00f6bius in 1858, although it was independently discovered by Listing, who published it, while M\u00f6bius did not (Derbyshire 2004, p. 381). Like the <a href=\"https:\/\/mathworld.wolfram.com\/Cylinder.html\">cylinder<\/a>, it is not a true <i>surface<\/i>, but rather a <a href=\"https:\/\/mathworld.wolfram.com\/SurfacewithBoundary.html\"><i>surface<\/i> with boundary<\/a> (Henle 1994, p. 110).<\/p>\n<p>The M\u00f6bius strip has <a href=\"https:\/\/mathworld.wolfram.com\/EulerCharacteristic.html\">Euler characteristic<\/a> (Dodson and Parker 1997, p. 125).<\/p>\n<p>According to Madachy (1979), the B. F. Goodrich Company patented a conveyor belt in the form of a M\u00f6bius strip which lasts twice as long as conventional belts. M. C. Escher was fond of portraying M\u00f6bius strips, and they appear in his woodcuts \u201cM\u00f6bius Strip I\u201d and \u201cM\u00f6bius Strip II (Red Ants)\u201d (Bool <i>et al.<\/i> 1982, p. 324; Forty 2003, Plate 70).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The M\u00f6bius strip, also called the twisted cylinder (Henle 1994, p. 110), is a one-sided nonorientable surface obtained by cutting a closed band into a single strip, giving one of the two ends thus produced a half twist, and then reattaching the two ends (right figure; Gray 1997, pp. 322\u2013323). The strip bearing his name [\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-209607","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/209607","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=209607"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/209607\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=209607"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=209607"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=209607"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}