Ken Brakke's home page
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|Home page of the Susquehanna University mathematics professor who co-authored The Physics of Microdroplets and developed Surface Evolver, a free interactive program for modeling liquid surfaces shaped by various forces and constraints. Brakke also offers Java applets for showing the equilibrium states of a 1-dimensional soap film spanning the corners of a rectangle with liquid in the interior of the film ("The Wet X"); and for generating random fractal images using iterated function systems (IFS). His JavaSketchpad sketches detail the steps for a golden rectangle, a regular 17-gon, a regular 257-gon, a regular 65537-gon, a hexagon with given segment as side, a circle of a given radius tangent to two lines through a point, division of a given segment into N equal parts, and dozens more ruler and compass constructions. See also his translation of Joseph Plateau's 1873 book on soap films and surface tension; Polycut, a program for visualizing multiple universes connected by gateways formed by cosmic strings; The Double Bubble Pipe, which shows the stable equilibrium states of a multiple-bubble pipe; notes on the Opaque Cube Problem, soap film cones, triply periodic minimal surfaces, and soap films on knots and on the Borromean Rings; and more.|
|Levels:||High School (9-12), College, Research|
|Resource Types:||Documents/Sketches/Galleries, Geometer's Sketchpad, Web Interactive/Java|
|Math Topics:||Fractals, Differential Geometry, Higher-Dimensional Geometry|
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