{"id":505,"date":"2020-06-04T19:48:37","date_gmt":"2020-06-04T18:48:37","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/pgrseminars\/?p=505"},"modified":"2020-06-04T19:49:30","modified_gmt":"2020-06-04T18:49:30","slug":"an-infinite-limit-of-conways-soldiers-jack-mckenna","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2020\/06\/04\/an-infinite-limit-of-conways-soldiers-jack-mckenna\/","title":{"rendered":"An Infinite Limit of Conway&#8217;s Soldiers (Jack McKenna)"},"content":{"rendered":"<p class=\"lead\">17:00, June 5, Microsoft Teams meeting<\/p>\n<p><strong>Abstract:<\/strong> This talk will extend the treatment of the Conway&#8217;s Soldiers game on an infinite chequerboard which I briefly described in the PGR talk two weeks ago (though it&#8217;s not necessary to have attended that one!). I&#8217;ll review the description of Conway&#8217;s Soldiers in the plane and the proof that no finite number of moves can bring a chequer to the fifth row above the starting position. I&#8217;ll then describe a suitable infinite limit of the game in which a &#8220;converging infinite sequence&#8221; of moves allows us to get exactly to the fifth row, but no further.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>17:00, June 5, Microsoft Teams meeting Abstract: This talk will extend the treatment of the Conway&#8217;s Soldiers game on an infinite chequerboard which I briefly &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2020\/06\/04\/an-infinite-limit-of-conways-soldiers-jack-mckenna\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":64811,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[208120],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/505"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/users\/64811"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/comments?post=505"}],"version-history":[{"count":3,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/505\/revisions"}],"predecessor-version":[{"id":509,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/505\/revisions\/509"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/media?parent=505"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/categories?post=505"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/tags?post=505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}