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Thanks to this amazing collection of educational websites you can become a master in anything from home renovations to rocket science, maths to photography, art to computer programming. What are you going to master today? TED Talks TED is a global community, welcoming people from every discipline and culture who seek a deeper understanding of the world. TED believes passionately in the power of ideas to change attitudes, lives and, ultimately, the world. Chesscademy Chesscademy offers free online lessons for people around the world who want to learn how to play chess or improve their existing game. Microsoft DreamSpark Programs DreamSpark is a Microsoft Program that supports technical education by providing access to Microsoft software for learning, teaching and research purposes.
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Several of my writings involve the Platonic solids. For instance, some of the programs included with my book Visual Basic Graphics Programming draw these objects, though the book does not explain how to find the coordinates of the solids' vertices, it merely uses them. Much to my surprise, I received several requests for these derivations.
This article explains how to calculate the positions of the corners of the Platonic solids. Deriving these values requires only relatively simple algebra and a little trigonometry. For programs that draw three-dimensional objects, see my book Visual Basic Graphics Programming. 1. A regular polygon is a two-dimensional shape where each edge has the same length and the edges all make the same angles with respect to each other. Figure 1.1. Figure 1.2. Then: 2. Keybr.com - Take typing lessons, test your typing speed and practice typing for free!