Prepare a classroom demonstration of topology by drawing geometric figures on a piece of rubber inner tube. Demonstrate to the class various ways in which these figures can be distorted.
The problem shown in the News … See the whole entry
The German artist Albrech Durer (1471-1528) is not only a Renaissance artist, but also somewhat of a mathematician. Do some research on the mathematics of Durer.
a. Consider the product (1)(2)(3) … (1,998)(1,999)(2,000). … See the whole entry
In 1928 Frank Ramsey, an English mathematician, showed that there are patterns implicit in any large structure. The accompanying diagram (which resembles the aestheometric design of Projects 7.2 and 7.3) typifies the problems that Ramsey theory addresses.
“How … See the whole entry
Videos:
Introduction to Fractal Geometry (time: 1:41)
If you are fascinated with fractals and would like a complete introduction, this video gives you a complete lecture on this topic. time: 53:45)
This is a video on using geoboards (time: 2:01)… See the whole entry
Videos:
Kruskal’s Algorithm (time: 2:40)
This is a rather foolish introduction to spanning trees (time: 1:39)
… See the whole entry
Videos:
An introduction to Konigsberg Bridge Problem (time: 12:56)
… See the whole entry
This site investigates the four-color problem:
http://www-groups.dcs.st-andrews.ac.uk/~history/HistTopics/The_four_colour_theorem.html
A beautiful gallery of fractal designs are found on these sites:
http://fractals.hauner.cz/1
A site showing some of Escher’s tessellations is interesting:
http://www.mathacademy.com/pr/minitext/escher/
This site shows the colorful answer to Problems 24 and 25:… See the whole entry
An historical reference, along with a solution and interesting links for the Konigsberg bridge problem is found at this site:
http://mathforum.org/isaac/problems/bridgesol1.html
This site provides a thorough overview of the Traveling Salesperson Problem (TSP):
http://www.nist.gov/dads/HTML/travelingSalesman.html
This site, by Chris Caldwell provides … See the whole entry
This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history/
This is an award-winning site that links to all sorts of mathematics information.
http://archives.math.utk.edu/
Topology was presented … See the whole entry
This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history/
This is an award-winning site that links to all sorts of mathematics information.
http://archives.math.utk.edu/… See the whole entry