{"id":13160,"date":"2021-12-06T19:20:24","date_gmt":"2021-12-07T00:20:24","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=13160"},"modified":"2026-06-02T14:59:24","modified_gmt":"2026-06-02T18:59:24","slug":"tr-06-03-rotational-clamshell-casting-in-two-dimensions","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2006\/tr-06-03-rotational-clamshell-casting-in-two-dimensions\/","title":{"rendered":"TR-06-03: Rotational Clamshell Casting In Two Dimensions"},"content":{"rendered":"\n
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\n TR-06-03: Rotational Clamshell Casting In Two Dimensions\n <\/h1>\n \n \n <\/header>\n\n <\/div>\n\n <\/div>\n\n <\/div>\n<\/section>\n\n

Carleton University
\nTechnical Report<\/a> TR-06-03
\nFebruary 14, 2006<\/p>\n\n\n\n

Rotational Clamshell Casting In Two Dimensions<\/h2>\n\n\n\n
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P. Bose, P. Morin, M. Smid, S. Wuhrer<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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Abstract<\/h3>\n

A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where the object to be manufactured is a simple polygon with n vertices in the plane. The cast consists of exactly two parts and is removed by a rotation around a point in the plane. The following two problems are addressed: (1) Given a cast and a center of rotation r in the plane, we determine in O(n) time whether there exists a partitioning of the cast into exactly two parts, such that one part can be rotated clockwise around r and the other part can be rotated counterclockwise around r without colliding with the interior of the polygon. (2) An algorithm is presented to find all the points in the plane that allow a cast partitioning as described above. For convex polygons, an algorithm with running time O(n) is presented. For simple polygons, the algorithm\u0092s running time becomes O(n2).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

TR-06-03.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Carleton University Technical Report TR-06-03 February 14, 2006 Rotational Clamshell Casting In Two Dimensions P. Bose, P. Morin, M. Smid, S. Wuhrer Abstract A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where the object to […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":12352,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_cu_dining_location_slug":"","footnotes":"","_links_to":"","_links_to_target":""},"cu_page_type":[],"class_list":["post-13160","page","type-page","status-publish","hentry"],"acf":{"cu_post_thumbnail":false},"_links":{"self":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/13160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/comments?post=13160"}],"version-history":[{"count":1,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/13160\/revisions"}],"predecessor-version":[{"id":13161,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/13160\/revisions\/13161"}],"up":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/12352"}],"wp:attachment":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/media?parent=13160"}],"wp:term":[{"taxonomy":"cu_page_type","embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/cu_page_type?post=13160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}