Puzzles and such by Luke Tunstall https://padlet.com/luke_tunstall/wz98k7x8ih88 Made with no regrets, whatsoever en-us 2017-07-28 21:12:32 UTC 2023-03-29 05:06:52 UTC hello@padlet.com Dissection Theory https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179662901  Any rectilinear objects with the same area can be cut up and then be reshaped to form each other.]]> 2017-07-28 21:40:35 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179662901 Dissection https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179662994 2017-07-28 21:44:20 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179662994 Cubism https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663001 Dissection can be seen in art, especially in cubism.
"Weeping Woman" by Pablo Picasso
]]> 2017-07-28 21:44:39 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663001 Definition https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663088 In geometry, a dissection problem is the problem of partitioning a geometric figure (such as a polytope or ball) into smaller pieces that may be rearranged into a new figure of equal content.]]> 2017-07-28 21:48:09 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663088 Architecture https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663114 You can dissect shapes into smaller pieces in order to make the architecture visually appealing as well as intricate.

]]> 2017-07-28 21:49:11 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663114 Tangrams https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663220 Tangrams are a 4000 year old activity that allows you to cut a square piece of paper into various shapes, and reform them into images.]]> 2017-07-28 21:53:46 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663220 Pythagorean Theorem-Proof Using Dissection https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663252 The proof in question proceeds by dissecting the square of side a+b in two different ways. In the first way, the square is broken into four right triangles, congruent to the given one, and two squares of sides a and b respectively. The second dissection breaks the square of side a+b into four right triangles, congruent to the given one, and one square of side c.]]> 2017-07-28 21:55:14 UTC https://padlet.com/luke_tunstall/wz98k7x8ih88/wish/179663252