Greg Egan's Home Page
Library Home 
Full Table of Contents 
Library Help
http://gregegan.customer.netspace.net.au/  


Information, illustrations, and Java applets that supplement some of the works of the science fiction author. The Applets Gallery includes groups of rotations in three dimensions and in four dimensions; Escher, inspired by the artist's conflicting orientation cues; Cantor, a 2dimensional Cantor set; Laplace, solutions of Laplace's equation in three dimensions, sampled on the surface of a sphere; Schwarz, two successive SchwarzChristoffel transformations of the complex plane; Gummelt, a quasiperiodic tiling of the plane with overlapping decagons; QuantumWell, a wave function in either a square well or a harmonic oscillator potential; LiquidMoon, a reflection of a moon in water; SoapBubbles, interference effects in soap films; deBruijn, tilings chosen from a plane in ndimensional space and projecting selected points from a hypercubic lattice onto the plane; Prisms, white light refracted by a ring of rotating prisms; Lissajous, the locus of a point driven by sums of harmonic waves; KaleidoHedron, symmetries of an icosahedron used to replicate a pattern across the surface of a sphere; Syntheme, ways of partitioning the 12 vertices of an icosahedron into 3 sets of 4, so that each set forms the corners of a rectangle in the Golden Ratio; Dirac, a demonstration of the topological "Dirac belt trick"; Spin, the matrices of complex numbers that represent rotations in quantum mechanics; Platonic, a rotating, translucent Platonic solid (tetrahedron, cube, octahedron, dodecahedron or icosahedron), with the faces rendered opaque where they lie inside a second, independently rotating Platonic solid; Solid, two independently rotating copies of the same Platonic solid; Wythoff, uniform polyhedra, using Wythoff's kaleidoscopic construction to compute the locations of the vertices; Slice, 3dimensional slices through the regular 4dimensional polytopes, as they rotate; and kaleidoscope. Other applets illustrate Egan's science fiction stories: Diaspora; Oceanic; The Planck Drive; Schild's Ladder; Teranesia; and Border Guards, which features quantum soccer. Foundations is a series of articles, first published in the magazine Eidolon, on some of the theories of twentiethcentury physics that have most influenced modern science fiction, such as special relativity, general relativity, black holes, and quantum mechanics. Also, over a dozen complete science fiction stories.  


Levels:  High School (912), College, Research 
Languages:  English 
Resource Types:  Graphics, Articles, Recreations, Web Interactive/Java 
Math Topics:  Modern Algebra, Dynamical Systems, Polyhedra, Symmetry/Tessellations 
[Privacy Policy] [Terms of Use]
© 1994 The Math Forum at NCTM. All rights reserved.
http://mathforum.org/