# Math 103 Spring, 2004 SUBJECT TO REVISION!

 Week Assnm't Source Chapter and pages for Reading Comments, Web Sites to Visit, and other things 1-20 to  1-29 Flatland  K & M Introduction, Preface, and Part I.   Preface and "To the Reader".  1.1 Measurement pp 1-8  1.1  pp 8-12  1.2 Polygons pp13-16  1.2 pp17-19 Flatland is available on the web. Perception Over 30 proofs of the Pythagorean theorem! Many Java Applets that visualize proofs of the Pythagorean Theorem Tangram Introduction Japanese Site with Tangram Puzzles on-line Here's a web page with many annotated Tangram references Web references related to scissors congruence- dissections. 1-27 to 2-5 Flatland K & M Part II 4.1 Reg. and Semi Regular Tesselations pp 85 - 91  4.2 Irregular Tilings pp94-96 A wealth of materials can be found by going to this Tesselation Tutorial. This might be a good time to visit Rug patterns and Mathematics exhibit plus... 2-5 to 2-19 K & M 6.1 Flatlands pp 180 -184  4.1 Dual Tilings pp91- 93 5.1 Kaleidoscopes (1 mirror)127-130  5.1 (2 mirrors)130 - 134 5.2 Point symmetry 138- 146 You might want to visit the Geometry Center's Introduction to Tilings as well as the  Kali: Symmetry group page now . Thursday 2-12  is Tessellation Day: Wear to class clothing that has a tiling pattern on it. 2-19 to 3-2 K & M 6.1 Flatlands pp 180 -184  AGAIN! 4.2 Irregular Tilings pp 97-107 5.3 Frieze Patterns 147-155 [* 4.3 Penrose Tilings  ] [* 5.4 Wallpaper Patterns  ] [*5.5 Islamic Lattice Pattern] You might want to look at Penrose tilings by downloading Winlab by Richard Parris. The Kali: Symmetry group page is still of interest! 3-2  to  3-11 K & M 7.1 Pyramids, Prisms, and Anti Prisms pp 208 -215  7.2  The Platonic Solids pp 216-221  7.3 Archimedean Solids pp 224-228 8.1 Symmetries of Polyhedra You can look at polyhedra by downloading Wingeom by Richard Parris  The Platonic solids  is an interesting site with Java viewers for interactive manipulation created by Peter Alfeld of Univ. of Utah. 3-23 to 4-22 K&M Barr 6.2 The Fourth Dimension  13.2 Surfaces 13.3 More on Surfaces 1,2,5,6 Cartesian coordinates The Fourth dimension  A Visualization of 4d hypercube (Java applet). Surfaces in topology The Moebius strip,  The Klein bottle, orientability, and dimension. Constructing surfaces in general K&M:11.5  looks at surfaces os soap bubbles. 4-27  to 5-6 K&M A&S 10.1 Perspective  10.2 Optical illusions  11.2 Map Projections pp 1-3, Sections 3,6, 11, 13 Maps and coordinates Perspective drawing Projective Geometry Configurations

## Resource List for Portfolio Entries

The following list contains suggestions  for finding resources as well as the names of resources that may be used for one or more portfolio entries. Before reading an article in one of these resources thoroughly it is advisable to scan it quickly to see that it contains something of interest to yourself. Your portfolio entry can report on the content of your reading, illustrate it by examples, and/or follow up on it with your own response and creativity.

The content of the portfolio entry should relate specifically and directly to some visual mathematics. Personal observations , philosophical musings, and aesthetical judgments are not adequate connections to something visual by themselves to qualify as mathematical content.

These articles may also be useful in developing a deper level of understanding on a topic which will suppport your term project. I will add to this list as the term progresses.

• Several chapters from the course text will not be covered in class but can be used for portfolio entries. An entry based on our text should report on a selection of the included exercises along with the content of the chapter.
• Use my collection of Visual Mathematics web sites for surfing visual mathematics and geometry.
• Use articles from old Scientific American magazines (located outside my office at Library 48 and available from HSU on-line)
• (Older issues) Martin Gardiner's articles are usually short and clear enough to provide material for one or even two even entries.
• (More recent issues) Ian Stewart 's articles are similar and about as playful as the Gardner pieces.
• Some issues  have had articles on special topics that are relevant to our interests. These are usually longer and require a little more effort to digest - though well worth the effort.
• "Topology" by Tucker and Bailey, 1950, pp 8-24.
• A number of liberal arts / mathematics textbooks contain chapters that would be suitable for reporting.
• Mathematics: the Man-made Universe by Sherman Stein.
• Excursions into Mathematics by Beck, Bleicher, and Crowe.
• What is Mathematics? by Courant and Robbins.
• The World of Mathematics by Newman.
• The library has a collection of films and videos that are relavant to our interests.
• For All Practical Purposes (COMAP)
• Some of the history of mathematics videos from the Open University Series (BBC)
• There are several non-text mathematics books and collections of essays.
• Mathematics: The Science of Patterns  by  K. Devlin
• Beyond the Third Dimension by T. Banchoff.
• Martin Gardiner has many books full of puzzles and recreations many of which are relevant.
• The Problems of Mathematics by Ian Stewart.
• The Mathematical Experience by Philip Davis and Reuben Hersh