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Geometry -- Study and teaching (Higher)

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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
Geometry in Action

This metasite "collects various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications," according to the site's provider, Dr. David Eppstein of the University of California at Irvine. Categories available include Geometric References and Techniques, Design and Manufacturing, Graphics and Visualization,...

https://www.ics.uci.edu/~eppstein/geom.html
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...
Institute for Mathematical Sciences Preprint Server

In 1999, the State University of New York (SUNY) at Stony Brook's Mathematics Department was ranked fifth in the country by US News and World Report. The department's Institute for Mathematical Sciences (IMS) Preprint Server is searchable and offers full-text preprints (.ps and TeX) from 1990 to the present. Areas of research at Stony Brook include differential geometry, topology, dynamics,...

http://www.math.stonybrook.edu/institute-mathematical-scienc...
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/
Ruth Charney on Modeling with Cubes

The Mathematical Association of America (MAA) continues to build on their already solid online presence with the addition of this lecture by noted mathematician and scholar Professor Ruth Charney. This particular lecture was given at the MAA's Carriage House Conference Center in the fall of 2008 and it deals with how cubes can be used to represent a variety of systems. As Charney notes, "The...

https://www.maa.org/meetings/calendar-events/modeling-with-c...
Steiner Surfaces

Dr. Adam Coffman, a mathematics professor at Indiana University-Purdue University Fort Wayne, is the author of an excellent overview of Steiner surfaces. The material presented on his Web site is certainly not for anyone, but will mainly be of interest to people with strong, advanced math skills. Coffman begins with some necessary background information and then discusses all the geometric types...

https://www.pfw.edu/departments/coas/depts/math/coffman/stei...