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Geometry -- Problems, exercises, etc.

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Archimedes Laboratory

Proving that geometry can be more fun than a barrel of monkeys, Archimedes Laboratory is "an 'intuitive' puzzle site with fewer formulas and more visuals, which may encourage students learning this science or just constitute a platform for reflection." Probably the most strictly educational section of the site is Math to Discover, which contains discussions of the history of numbers and...

https://www.archimedes-lab.org/indexB.html
Diamond Theory: Symmetry in Binary Spaces

This Web site provides detailed discussions of Diamond Theory, and is intended for college math students or mathematicians. Diamond Theory, according to the author, is best classified in the subject of "finite automorphism groups of algebraic, geometric, or combinatorial structures." The main focus of the material is the technical aspects of the concept, but there are some references to its...

http://m759.freeservers.com/
Fractal Geometry

This is one of the best online resources about fractals, and is "meant to support a first course in fractal geometry for students without especially strong mathematical preparation." The site is incredibly deep, providing everything from the most basic definitions and non-technical discussions to involved mathematical formulations. Interactive Java applets, downloadable software for the PC and...

https://math.yale.edu/event/quasiconformal-geometry-fractals
How Does This Button Work?

Just about everyone has wondered: "How does this button work?" They may not have been thinking of the world of dynamic geometry, but Chris Sangwin of the University of Birmingham has been thinking about just this subject. He recently contributed an interactive learning resource to the Journal of Online Mathematics and its Applications, and his work will no doubt command the attention of...

https://www.maa.org/press/periodicals/loci/joma/how-does-thi...
Leonardo da Vinci's Geometric Sketches

How do you solve a problem like solids, mathematically speaking? Well, you could use this rather fascinating resource provided by the Convergence magazine. Offered as an educational resource by the Mathematical Association of America (MAA), this particular resource brings together the work of the Franciscan friar Luca Pacioli (c.1445-1509) and the geometric sketches of Leonardo Da Vinci. Both men...

https://www.maa.org/about-maa/maa-history/mathdl?pa=content&...
Macalester College Problem of the Week

The Macalester College Problem of the Week (MacPOW) is a tradition that began in 1968 as a fun, challenging activity for freshmen college students. It continues to this day (hosted by the well known Math Forum site), and about 200 problems are archived on this Web site (out of nearly 1,000 total). All of the unique conundrums are mathematically oriented, and most are word problems that require...

https://www.nctm.org/pows/
Maths Challenge.net

Maths Challenge is a fun activity to build mathematical and reasoning skills. Each month during the school year, a new set of math problems are posted online. There are miscellaneous problems at junior and senior levels, cryptography and code breaking problems, and computer programming challenges. Each section is appropriate for a different age range, but the most basic material starts at age...

https://mathschallenge.net/
Problems to Enjoy

Problems to Enjoy presents an enormous selection of mathematics problems for middle and high school students. Teachers will find it especially useful; divided into four categories and three grade levels, the problems are easily searchable. Eventually, the site's creators hope to "build up a comprehensive library of problems in a format that is simple to access, download and customize." The...

http://www.searchinquire.com?pid=9PO312GO9&dn=1000problems.c...
Projective Geometry

This site departs from the common themes taught in general geometry classes and introduces projective geometry, which has to do with special properties resulting from the intersection of lines, planes, and points. The coincidence of such elements is what is referred to as an incidence, and this is the basis of the topic. The site makes extensive use of animated figures to demonstrate principles...

http://nct.goetheanum.org/
Science U: Geometry Center

Science UTM offers online articles and activities "for people who like science." Science U and the web-design and development company that owns and operates the website, Geometry Technologies, were formed as a result of the closure of The Geometry Center at the University of Minnesota. One of the conditions of that grant, which funded The Geometry Center and ended in 1998, was that the Center...

http://www.geom.uiuc.edu