The Geometry of the Sphere

Search math.rice.edu:80

http://math.rice.edu:80/~pcmi/sphere/

Math tutorial, which came from an Advanced Mathematics course in the High School Teachers Program at the IAS/Park City Mathematics Institute at the Institute for Advanced Study, gives thorough explanation which includes area on the sphere, spherical triangles, Girards Theorem, and Eulers formula, and starts with the definition of a sphere as a set of points in three dimensional space equidistant from a point called the center of the sphere.

The Platonic Solids

Search www.math.utah.edu

http://www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html

The Platonic Solids A platonic solid is a polyhedron all of whose faces are congruent regular polygons, and where the same number of faces meet at every vertex. The best know example is a cube (or hexahedron ) whose faces are six congruent squares. Contains 3D models from the University of Utah with applets for interactively rotating the images.

Regular Polyhedra Platonic Solids

Search www.bluefish.org

http://www.bluefish.org/polyhedr.htm

A polyhedra is regular if it has as its faces just one type of regular polygon, and all its vertices are congruent. Discusses the five types: the cube, regular tetrahedron, regular octahedron, regular icosahedron and regular dodecahedron.

Euclids Elements

Search aleph0.clarku.edu

http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

This site teaches about plane geometry, Euclids Elements form one of the most influential mathematical works of science in the history of humankind and it has evolved into its logical development of geometry and other branches of mathematics come complete with interactive demonstrations.

AskERIC Lesson Plans - Geometry

Search askeric.org

http://askeric.org/cgi-bin/lessons.cgi/Mathematics/Geometry

Geometry lesson plan ideas from ASKEric educational information database.

The Fractal Microscope: Fractal Geometry

Search www.ncsa.uiuc.edu

http://www.ncsa.uiuc.edu/Edu/Fractal/Fgeom.html

From the NCSA and University of Illinois a definition entitled "Fractal Geometry A Simple Explanation" which starts with classical explaining how geometry deals with objects of integer dimensions, fractal geometry describes non-integer dimensions and geometry with zero dimensional points, one dimensional lines and curves, two dimensional plane figures like squares and circles, and three dimensional solids such as cubes and spheres make up the world as we have previously understood it.

Border Pattern Gallery

Search www.math.okstate.edu

http://www.math.okstate.edu/~wolfe/border/border.html

Class project by MATH 3403 Geometric Structures class at Oklahoma State University shows creation and classification of border patterns (also called frieze or band patterns) provides friendly introduction to the concept of geometric symmetry.

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