tag:blogger.com,1999:blog-2197236978911214706.post3442546883083937902..comments2019-08-03T13:14:54.298+05:30Comments on MahekMody.com: Why do couples at Marine Drive sit equally spaced from one another?Mahekhttp://www.blogger.com/profile/01961984742300757315noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-2197236978911214706.post-54245051151523166412018-07-15T21:41:26.023+05:302018-07-15T21:41:26.023+05:30This comment has been removed by the author.Royal Servicehttps://www.blogger.com/profile/01189307632566827747noreply@blogger.comtag:blogger.com,1999:blog-2197236978911214706.post-29856385111022962692014-12-07T16:16:32.271+05:302014-12-07T16:16:32.271+05:30Yes, you are correct! Optimization usually leads t...Yes, you are correct! Optimization usually leads to symmetry and it was really nice to see this happen live. However, if you notice the illustrations closely you will see that the sea front in this case extends to infinity on both sides since this is an ideal case. Which means that a couple coming from the right or left is for all practical purposes equivalent to the one that comes from the middle. Infinity works in funny ways ;pMahek Modyhttps://www.blogger.com/profile/01961984742300757315noreply@blogger.comtag:blogger.com,1999:blog-2197236978911214706.post-83213759273068513652014-12-06T19:13:37.376+05:302014-12-06T19:13:37.376+05:30There is another case. In the first scenario where...There is another case. In the first scenario where two couples are already there, suppose the third couple approach not from their middle but from the left or right. In that case they won't generally cross a couple - but stop at a certain distance from the leftmost (or rightmost) couple. To explain the symmetry in that situation one may say that the distance in rule 2 is universal, that is to say it is the same for every couple. But this seems unlikely, so it's probably better to add another rule : If there is a certain distance that has been chosen by the existing couples, the new joiners will also choose that distance. <br /><br />In general, symmetry and optimization go hand in hand. For example, the shape that minimizes surface area for a fixed volume (i.e if you were to make a bag that would hold a certain amount of stuff what shape would you make it if you wanted to use the minimum amount of cloth in making the bag) is also the most symmetric - the sphere. This is why water bubbles are spherical actually :)Nirmalyahttps://www.blogger.com/profile/00482736027241310182noreply@blogger.comtag:blogger.com,1999:blog-2197236978911214706.post-83926688094910048302014-11-19T10:10:30.079+05:302014-11-19T10:10:30.079+05:30Well written! I liked the illustrations!Well written! I liked the illustrations!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2197236978911214706.post-77065944629526533552014-11-16T03:31:42.317+05:302014-11-16T03:31:42.317+05:30lolllll.......awesome post ...lolllll.......awesome post ...Amnn.......//1!https://www.blogger.com/profile/05742588096250133872noreply@blogger.com