Plus (http://plus.maths.org/)
- articles explaining the diverse applications of mathematics
within physics, chemistry, biology, engineering, and economics,
plus stories about new developments in mathematics and interviews
with mathematicians.
The Geometry
Junkyard (http://www.ics.uci.edu/~eppstein/junkyard/)
has links to what must be every single geometry page on the entire
web.
Geometry
in Action (http://www.ics.uci.edu/~eppstein/geom.html)
- explore various areas in which ideas from discrete and computational
geometry meet real world applications.
Mrs.
Glosser's Math Goodies (http://www.mathgoodies.com/)
- free educational web site featuring interactive math lessons
with a problem-solving approach.
Wallpaper
Groups (http://aleph0.clarku.edu/~djoyce/wallpaper/)
- plane symmetry groups.
Ben
Sisko's Higher Dimensional Page (http://www.geocities.com/CapeCanaveral/Launchpad/4403/)
- contains research on higher dimensions. There are five theories
and theoretical applications.
Categorical
Geometry (http://www.geometry.net)
- contains online books and research papers on categorical geometry
and categorical algebra.
Erich's
Packing Center (http://www.stetson.edu/~efriedma/packing.html)
- packing geometric shapes into other geometric shapes: circles
in triangles, circles in circles, and much more, plus combinatorial
geometry problems.
Gallery
of Mathematical Surfaces (http://www.uib.no/People/nfytn/mathgal.htm)
Geometry
of the Sphere (http://math.rice.edu/~pcmi/sphere/)
- provides basic information about spheres, looks at Girard's
Theorem, and proves Euler's formula.
Logical
Art and the Art of Logic (http://pubweb.acns.nwu.edu/~gbuehler/index.html)
- learn about pentominoes and what they have to do with Escher,
Penrose, logic, impossible objects, mathematics, and art.
Mathlab.com
(http://mathlab.com) - Java applet providing
virtual straightedge and compass for online interactive geometry.
Moebius
Strip (http://www.cut-the-knot.com/do_you_know/moebius.html)
- a one-sided surface.
Native
American Geometry (http://www.earthmeasure.com/)
- a physical, proportional geometry that originates from the
simple circle. Art and mathematics seemlessly integrated in
Nature's geometry, emphasizing multiple intelligences and multi-cultural
instruction.
The
Geometry Center (http://www.ScienceU.com/geometry/)
offers activities in the following areas: Triangle
Tilings and Polyhedra, Symmetry
and Tiling and Tetrahedral
Puzzles.
Geometry
Through Art (http://forum.swarthmore.edu/~sarah/shapiro/shapiro.knotted.string.html)
- ALesson on Teaching Measurement by Norman Shapiro. Egyptian
knotted string - Use plain kite string and bring geometry into
your math program. You might also check out his lesson on Exploring
Geometry by Making Drawings and his sample lesson about
The
Square. Each of the activities referred to here came
from Shapiro's What
Children Can Learn about Art and Geometry.
Java
Sketchpad (http://forum.swarthmore.edu/dynamic/java_gsp/)
- Dynamic Geometry for the Internet. Check out their demo gallery,
the sine waver is a really cool demo of the construction of
a sine wave.
Line
Designs (http://www.frontiernet.net/~dcoates/lineart.htm)
- This project allows students to explore the illusions created
by works of art which are created entirely by straight lines.
Joseph Wu's
Origami Page
(http://www.origami.vancouver.bc.ca/)
Erich's
Packing
Center (http://www.stetson.edu/~efriedma/packing.html)
has a wealth of visual information regarding the packing of
shapes within shapes. You may also want to look at Erich's
Combinational Geometry (http://www.stetson.edu/~efriedma/comb.html)
for problems tree planting problems, lines avoiding points,
and many others.
Symmetry
and Pattern - the Art of Oriental Carpets (http://forum.swarthmore.edu/geometry/rugs/)
- This activity includes student activities.
Puzzles
and Numbers at Coolmath.com
(http://www.coolmath.com/puzzles.htm and at http://www.Coolmath4kids.com)
Lots of cool puzzles involving triangles. (highly recommended)
Manipula
Math: JAVA Geometry (http://www.ies.co.jp/math/java/geo/index.html) -
An awesome collection of geometry JAVA applets. A MUST SEE! (highly
recommended)
Euclid's
Elements - JAVA (http://aleph0.clarku.edu/~djoyce/java/elements/elements.html)
- This dynamically illustrated edition of Euclid's Elements
includes 13 books on plane geometry, geometric and abstract
algebra, number theory, incommensurables, and solid geometry.
Geometry
Online (http://math.rice.edu/~lanius/Geom/)
- On these pages you will find geometry activities from this
year's geometry class at Milby High School, includes a history
of geometry.
Gallery
(http://members.tripod.com/~modularity/gal.htm)
- A really nice collection of geometric artwork.