tag:blogger.com,1999:blog-4136837714240263955.post1483152766017906413..comments2016-11-29T12:12:24.606-08:00Comments on Standard Hat Rules Apply: Duck In A PondKory Stevenshttp://www.blogger.com/profile/12086597476822194991noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-4136837714240263955.post-45986025934459479872008-09-21T23:18:00.000-07:002008-09-21T23:18:00.000-07:00In my strat (or obvious variations for various spe...In my strat (or obvious variations for various speeds of wolf), it fails hard at wolf speed = (pi+1)*Duck speed<BR/><BR/>I think that may clarify what my strategy is.<BR/><BR/>-!bobAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-4136837714240263955.post-79966792909788842762008-09-21T22:33:00.000-07:002008-09-21T22:33:00.000-07:00Wolf's strategy is head to the point on the circum...Wolf's strategy is head to the point on the circumference of the pond wherever the duck is currently headed? I've got a solution although I doubt it is optimal.<BR/><BR/>- !BobAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-4136837714240263955.post-66991238643926112812008-09-18T09:58:00.000-07:002008-09-18T09:58:00.000-07:00There are funny solutions that need complicated ma...There are funny solutions that need complicated math to solve. Thats why I said in my post the solution uses simple shapes. Probably your solution works also, but I guarantee that if you are needing mathematica there is a simpler way.Kory Stevenshttps://www.blogger.com/profile/12086597476822194991noreply@blogger.comtag:blogger.com,1999:blog-4136837714240263955.post-14637296352671265492008-09-17T22:33:00.000-07:002008-09-17T22:33:00.000-07:00Interesting problem. I found a strategy that appe...Interesting problem. I found a strategy that appears to work (it should be correct by a pseudo-inductive argument, but I haven't calculated the full number of steps). From calculations for that 'proof' I have a procedure to solve for the max speed, but the algebra is ugly and I'm without mathematica, so I'm interested in seeing if you have a more elegant solution.<BR/><BR/>-ATAnonymousnoreply@blogger.com