poppersdreamland.blogspot.com
Popper's Dreamland: February 2012
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Blogs About the Ice Queen. Friday, February 17, 2012. Playing around with Proposition I two mornings ago, I constructed a curious diagram. On nice paper it looks like this:. Euclidean SubD - Quad. The only thing given is finite segment AB. There are two closed shapes: the square ABCD, and the shaded figure in the middle (mouse over). Let's call the square the base geometry. And the curvy figure in the middle the subdivided geometry. In Euclid's Proposition I. Modifier onto your stack, and this is what ha...
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Popper's Dreamland: Splines and Bezier Curves: Part I
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Blogs About the Ice Queen. Sunday, January 13, 2013. Splines and Bezier Curves: Part I. I need splines for envelopes and other thrill parades. Consider the construction of a simple (Bézier) curve:. It's interactive. Press the button. Drag points around. Press play.). This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com. S = StartingPoint (End−Start) t. We add and multiply the components indpenendently:. Call First Orde...
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Popper's Dreamland: October 2011
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Blogs About the Ice Queen. Wednesday, October 5, 2011. What I am up to. I have chosen to work in sound design and have been teaching myself everything I need. Here is an approximate list (Entries in braces, I have not yet begun):. Signal Systems and Transforms. Algorithms and Numerical Methods. Planning and lighting a scene;. Hard surface 3D modeling;. Texture and material construction;. Unwraps, Normal maps, *.maps. Optimizing and Exporting game-ready content. Construct a game world. New audio tools mus...
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Popper's Dreamland: June 2012
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Blogs About the Ice Queen. Saturday, June 9, 2012. The Fourier Transform and its Applications,. Free Online Course, Stanford University { course home. The complete course materials, including all problem sets and answers can be found on the course home page. I don't look at the answers. Comprehension. Comprehension. Comprehension. I'm also using the assignments to integrate SAGE into my math studies, to build worksheets and functioning code as I move forward. 8800; 1 is real or complex, p. 8594; 0. S.
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Popper's Dreamland: July 2012
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Blogs About the Ice Queen. Sunday, July 29, 2012. Everything You Need to Know About NP-Completeness: 1. Part II →. Let's play a game. Number of players: 2. Materials needed: 2 pencils, scratch paper. 9632;To begin the game. One of the two players names a mathematical (counting) problem, and how many tries it will take her to solve it. She may generalize the number of tries as an equation. The problem may be as general or specific as she like. She is now Player 1. This ends her turn. She returns the paper.
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Popper's Dreamland: December 2012
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Blogs About the Ice Queen. Wednesday, December 26, 2012. Navigating as a Wave, 2. Are propagated simultaneously from the same point in the plane, in perpendicular directions. What is the resultant wave motion? Using equally spaced, perpendicular lines. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com. Here, the equations are. The speed of sound is for fun and is very slow. For small values of c. T Mark equal time i...
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Popper's Dreamland: May 2012
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Blogs About the Ice Queen. Saturday, May 19, 2012. The Elements, Book I (Prop I - V). The Thirteen Books of the Elements. Reference edition: Sir Thomas Heath, Johan Ludvig Heiberg. The University Press, 1908. Given finite straight line AB, to construct an equilateral triangle. To place at a given point a straight line equal to a given straight line. Given point A and straight line BC,. Construct equilateral triangle ΔABD [Prop. I]. Construct the circle with center B, and radius BC. BC ≅ BF. In an isoscel...
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Popper's Dreamland: Splines and Bezier Curves, Part 2
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Blogs About the Ice Queen. Wednesday, April 17, 2013. Splines and Bezier Curves, Part 2. Let me back up. Formally, we give. And let it go from P. Goes from 0 to 1. There are n. In the same way, insert n. 8722;1 points B. There is one point N :. The recursion is complete. The locus of N. Is the Bézier curve of order n. Defined by the n 1. Ideally, I would like to write N. As a polynomial in t. There are at least two ways to write it:. In the first section. Th term in the expansion of. And τ=(1− t. And red...
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Popper's Dreamland: April 2013
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Blogs About the Ice Queen. Wednesday, April 17, 2013. Splines and Bezier Curves, Part 2. Let me back up. Formally, we give. And let it go from P. Goes from 0 to 1. There are n. In the same way, insert n. 8722;1 points B. There is one point N :. The recursion is complete. The locus of N. Is the Bézier curve of order n. Defined by the n 1. Ideally, I would like to write N. As a polynomial in t. There are at least two ways to write it:. In the first section. Th term in the expansion of. And τ=(1− t. And red...