{"id":16,"date":"2022-02-15T23:51:36","date_gmt":"2022-02-15T23:51:36","guid":{"rendered":"https:\/\/convexabacus.xyz\/?p=16"},"modified":"2022-02-17T21:23:17","modified_gmt":"2022-02-17T21:23:17","slug":"an-asymmetric-rolling-shape","status":"publish","type":"post","link":"https:\/\/convexabacus.xyz\/index.php\/2022\/02\/15\/an-asymmetric-rolling-shape\/","title":{"rendered":"An Asymmetric Rolling Shape"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"826\" height=\"530\" src=\"https:\/\/convexabacus.xyz\/wp-content\/uploads\/2022\/02\/PythagoreanReuleauxTriangle.png\" alt=\"\" class=\"wp-image-17\" srcset=\"https:\/\/convexabacus.xyz\/wp-content\/uploads\/2022\/02\/PythagoreanReuleauxTriangle.png 826w, https:\/\/convexabacus.xyz\/wp-content\/uploads\/2022\/02\/PythagoreanReuleauxTriangle-300x192.png 300w, https:\/\/convexabacus.xyz\/wp-content\/uploads\/2022\/02\/PythagoreanReuleauxTriangle-768x493.png 768w\" sizes=\"auto, (max-width: 826px) 100vw, 826px\" \/><\/figure>\n\n\n\n<p>This asymmetric rolling shape is based on the 3-4-5 right-triangle. The perimeter is constructed from three arcs of a semicircle, with total length <em>\u03c0 * r<\/em>, where <em>r<\/em> is the common radius of curvature. The shape does not have constant width like the Reuleaux polygons. The construction was created using the Geogebra interactive geometry application. Using a semicircle of fixed radius, the chord lengths in ratio 3:4:5 were found by iterative adjustment.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This asymmetric rolling shape is based on the 3-4-5 right-triangle. The perimeter is constructed from three arcs of a semicircle, with total length \u03c0 * r,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,5],"tags":[],"class_list":["post-16","post","type-post","status-publish","format-standard","hentry","category-geogebra","category-geometry"],"_links":{"self":[{"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/posts\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":6,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/posts\/16\/revisions"}],"predecessor-version":[{"id":42,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/posts\/16\/revisions\/42"}],"wp:attachment":[{"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/media?parent=16"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/categories?post=16"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/convexabacus.xyz\/index.php\/wp-json\/wp\/v2\/tags?post=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}