Administrative

MATC - Math Across the Curriculum

The Department of Mathematics at Dartmouth College

Dartmouth College

COCO 18 - Winter '99 - the original course web page



The Mathematics and Applications of 4-D

"Warp Drive When?" - will interstellar travel be possible?

"The Hypercube" - how to think of a 4-D Cube

The Geometry Center - Center for the Computation and Visualization of Geometric Structures

Thomas Banchoff's Home Page - the homepage of geometer Dr. Thomas Banchoff, a professor at Brown University

Flatland: A Romance of Many Dimensions - the complete text and illustrations of Flatland

Beyond the Third Dimension - a repository of animations designed to help visualize the fourth dimension

The Fourth Dimension and Modern Art - an introduction to the influence of 4-D geometry on 20th-century art

'The Fourth Dimension' by Cliff Pickover - an essay on "hyperbeings"

"Math Spans All Dimensions" - the website for Math Awareness Month. This is an interactive site with many inter-activities on the 4th Dimension and an extensive resource on Abott and Flatland.

The Cantor Set - a brief explanation of the Cantor Set, as part of Thinkquest.org.

Chaos in the Classroom - a page on fractal geometry, created by Robert L. Devaney of Boston University.

Fractalina - a fractal-drawer, created by Noah Goodmann and modified by Adrian Vajiac, both of Boston University.

"A Brief History of Quantum Computing" - an essay on the history of quantum computing by Simon Bone and Matias Castro of Imperial College, London.

"Cantor's Diagonalization Argument" - a short essay that discusses countable and uncountable infinities. Part of the Bellevue Community College website.

Perspective Drawing - a discussion of how to draw using the principles of projective geometry.

Investigations in Projective Geometry - an explanation of the basics of projective geometry.

Projective geometry and slopes - more on the fundamentals of projective geometry.

Desargue's Theorem - a proof and explanation with illustrations.

The Crosscap - a site providing explanations and pictures of the crosscap model of the projective plane.

Projective Geometry for Image Analysis - an online tutorial.

"Journey" - John Robinson's sculpture "Journey" based on the Mobius strip in the Projective Plane.

Euler - a biography, with some excellent photographs.

Pontryagin - a biography, with some excellent photographs.

The Math of Non-Orientable Surfaces - an interactive tutorial.

The Topological Equivalent of a Doughnut - some funny topology jokes.

Topology Graphics - great pictures of topological "beasts!"

Helaman Ferguson - about this mathematician and mathematical sculptor.

Elementary Topology Graphics - more fascinating mathematical "creatures!"

Geometry and the Imagination in Minneapolis - the collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination,' led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis.

Outside In - about turning a sphere inside out.



4-D Science Fiction

Sci-Fi Resource Guide - an invaluable cache of information!

Fiction with a Mathematical Content - part of the OSU Department of Mathematics Website

Greg Egan's Mathematical Stories - a subset of the Greg Egan fan page

Rudy Rucker's Webpage - the homepage of the scifi writer and San Jose; State University professor

Alex Kasman's Mathematical Fiction - a list of stories compiled by Dr. Alex Kasman of the College of Charleston

C-ship: The Dilation of Time - developed by John Walker, founder of AutoDesk, Inc.

Greg Egan's Homepage - the website of Greg Egan, acclaimed science fiction writer and computer programmer.