PPT-Fractals

Basic Concept Entities are composed of features that are reproduced at different scales And whole entities can be described as a sum of smaller features that have the same characteristics Typically based on lines and examines line segments that have the same pattern. Lokeshwarri S.K. April 2011 Fractals is a fragmented geometric shape that can be broken into parts which are similar i n shape to the whole. On one of those lazy days when you were lying on your back St Paul’s Geometry Masterclass II. Who are we?. Mairi Walker. Final year maths PhD student at The Open University. Studying links between geometry and numbers. A. lso interested in the history of maths. Amgad. Hussein, Maria . Tokarska. , Edward . Grinko. , . Dimitar. . Atassanov. , Megan Varghese, Emilio . Asperti. GEOMETRY. "Clouds are not spheres, mountains are not cones, coastlines . are not . Using Mata and . Stata. . to Draw Fractals. Seth Lirette, MS. Inspiration. Types . Of. Fractals. Escape-time. . Fractals. Formula iteration in the complex plane. Iterate many times. If doesn’t diverge to infinity, it belongs in the set and you mark it.. By. Leslie Ryan. Common Terms. Iteration-. To . repeat a pattern multiple times, usually with a series of steps. . Reflection-. An image that is thrown back from light, heat, or sound. Like an image you see in a mirror. . Modelling. Fractals. Fractals. A fractal is a mathematical set that typically displays self-similar . patterns. Fractals . may be exactly the same at every scale, . or they . may be nearly the same at different scales. Ferran Pérez de la Cruz i Yeray Rodríguez Bejarano. Itinerary. Introduction. Activities. Simulating Natural Objects and some fractal applications. Activities. Some fractals application. Introduction. Play the Chaos Game . Learn to Create . Your Own Fractals. Jumping Seeds. Start: . Choose a corner of the triangle. This is your . first seed. .. Jump:. . Choose . a . corner . (that is not your seed). . : NEW PARADIGMS IN LINEAR WAVE PHYSICS Maria Mylova , James M. Christian, and Graham S. McDonald m.mylova @edu.salford.ac.uk & j.christian @salford.ac.uk Materials & Physics Research Centre , Universi by: Saeed . Heidary. 29 Feb 2013. Outline:. Chaos in Deterministic Dynamical systems. Sensitivity to initial conditions. Lyapunov. exponent. Fractal geometry. Chaotic time series prediction. Chaos in Deterministic Dynamical systems. Part 1: In which we attempt to describe what a fractal is, because people will ask (but perhaps they will not really want to know the answer).. Then I introduce the 2. nd. most photogenic fractal of the class, and attempt to convince you it is cool anyways.. And out of the ground the . Lord. God made to spring up every tree that is pleasant to the sight and good for food. The tree of life was in the midst of the garden, and the tree of the knowledge of good and evil.(ESV). Play the Chaos Game . Learn to Create . Your Own Fractals. Jumping Seeds. Start: . Choose a corner of the triangle. This is your . first seed. .. Jump:. . Choose . a . corner . (that is not your seed). . Octrees & Fractals. Contents. In today’s lecture we would like to continue on from the last day and look at some more modelling techniques. Octrees. Fractals. Octrees. Octrees are hierarchical tree structures used to represent solid objects.