# mathematics

3D

## Geometry in Action

This page collects various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications. It contains brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages on the applications themselves and on their geometric connections. This is largely organized by application but some major general techniques are also listed as topics.
is the only prime 1 less than a perfect square. - Robin Regan is the number of spatial dimensions needed to mathematically describe a solid. are the primary colors.

Voronoi diagrams have been used by anthropologists to describe regions of influence of different cultures; by crystallographers to explain the structure of certain crystals and metals; by ecologists to study competition between plants; and by economists to model markets in the U.S. economy... David Austin Grand Valley State University david at merganser.math.gvsu.edu Introduction Suppose that you live in a desert where the only sources of water are a few springs scattered here and there. For each spring, you would like to determine the locations nearest that spring.

## Project Euler

Background: Overview: Schematics:

## Chaos Theory

December 2007 We are all familiar with the simple ways of tiling the plane by equilateral triangles, squares, or hexagons. These are the three regular tilings: each is made up of identical copies of a regular polygon — a shape whose sides all have the same length and angles between them — and adjacent tiles share whole edges, that is, we never have part of a tile's edge overlapping part of another tile's edge.

## Evil Mad Scientist Laboratories - Iterative Algorithmic Plastic

One of our favorite shapes is the Sierpinski triangle .

## World&#039;s Hardest Easy Geometry Problem

World's Second-Hardest Easy Geometry Problem Sorry, but I'm not giving the answer nor the proof here.
Any 3D engine draws it’s power and speed from the mathematical models and implementations within, and trust John Carmack of ID software for using really good hacks.

## The Algorithm Design Manual

This WWW page is intended to serve as a comprehensive collection of algorithm implementations for over seventy of the most fundamental problems in combinatorial algorithms. The problem taxonomy, implementations, and supporting material are all drawn from my book The Algorithm Design Manual .

Steven Lehar

## Archimedean Solid

The 13 Archimedean solids are the convex polyhedra that have a similar arrangement of nonintersecting regular convex polygons of two or more different types arranged in the same way about each vertex with all sides the same length (Cromwell 1997, pp. 91-92).

## Quantum Random Bit Generator Service

email scd@cs.brown.edu with suggested additions or corrections Eric Weisstein's world of Mathematics (which used to be called Eric's Treasure Trove of Mathematics) is an extremely comprehensive collection of math facts and definitions. Eric has other encyclopedias at www.treasure-troves.com S.O.S. Mathematics has a variety of algebra, trigonometry, calculus, and differential equations tutorial pages. Dave Eberly has a web site called Magic Software with several pages of descriptions and code that answers questions from comp.graphics.algorithms.

## A 10 minute tutorial for solving Math problems with Maxima

Posted by Antonio Cangiano in Essential Math , Software on June 4th, 2007 | 126 responses About 50,000 people read my article 3 awesome free Math programs . Chances are that at least some of them downloaded and installed Maxima.

## 3 awesome free Math programs

Posted by Antonio Cangiano in Software on June 2nd, 2007 | 106 responses