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Mathematical Works

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PAPER CALCULATOR. Vi Hart: Math Doodling. Remember that video about doodling dragons and fractals and stuff? I finally finished part 2! Here is a magnet link so you can dowload it via torrent. Here it is on YouTube: You can tell I worked on it for a long time over many interruptions (travelling and other stuff), because in order to keep myself from hating what was supposed to be a quick easy part 2, I had to amuse myself with snakes. Part of working on part 2 was working on part 3 and other related material, so the next one should go faster.

Also I have no conferences scheduled for the rest of the year and I’m keeping it that way! Here was part 1, via Torrent or YouTube. Slide-Together Geometric Constructions. This is a web version of a teacher's workshop presented at Bridges 2004Appeared in: Bridges for Teachers, Teachers for Bridges, 2004 Workshop Book, Mara Alagic and Reza Sarhangi eds., pp. 31-42. “Slide-Together” Geometric Paper Constructions George W. Hart Computer Science Dept. Stony Brook University george@georgehart.com Abstract Seven paper construction projects provide students with experience exploring properties and relationships of two-dimensional and three-dimensional geometric figures. “Slide-togethers” based on squares, triangles, pentagons, and decagons Introduction This activity consists of seven attractive constructions which are fun and relatively easy to make because one simply cuts out paper pieces and slides them together.

Each “slide-together” is made from identical copies of a single type of regular polygon (e.g., just squares or just triangles) with slits cut at the proper locations. “Slide-togethers” based on hexagons, decagrams, and pentagrams. George W. Hart --- Index. Hyperbolic Orthogonal Dodecahedral Honeycomb. Pictures of Math. Interesting Maths Stuff (using wolframalpha) We have 8 balls: white, black, orange, red, blue, green, yellow and purple = {1,2,3,4,5,6,7,8} A) Here I am drawing a ball from a bag, placing it on the ground, recording its color and then placing the ball back in a bag.

Shake the bag to mix up the balls. I then repeat the process three more times to get a total of four colors recorded down on my paper. I then go out to a storehouse full of colored balls and get the same colored balls I have recorded down on the paper. Just out of interest, our number system works in the same way–we have 10 symbols. Random Number = 2314 for example But if the order of the placement of the numbers was not important, then this number “1234″ for example would be the same as these numbers: Just out of interest, when a number like 0000 occurs, it only has one possible arrangement.

Thus the possible sets of four numbers is greatly reduced to 330 possible permutations. Reference: Reference: