Math Forum Internet News

Volume 4, Number 19

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10 May 1999                                        Vol. 4, No. 19

                 THE MATH FORUM INTERNET NEWS

UBUYACAR - Maricopa | Rubik's Cube |
Math Ideas in Science - 7 Stones UBUYACAR - Maricopa Center for Learning and Instruction http://www.mcli.dist.maricopa.edu/pbl/ubuystudent/ You are interested in purchasing a new vehicle. Can you afford the one you want? To buy it, what should your annual salary be? An online problem-based learning manual for students, part of Maricopa Community College's Problem Based Learning (PBL) site. http://www.mcli.dist.maricopa.edu/pbl/ Students move through a problem-solving process, while a Tutor's Manual coaches the teacher in the role of facilitator. http://www.mcli.dist.maricopa.edu/pbl/ubuytutor/ The manuals are also available in PDF format. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- RUBIK'S CUBE Questions about Rubik's cube are frequently posted to math discussion groups archived by the Math Forum. Here are some sites that may be helpful for those interested in solving this puzzle: - RUBIK'S CUBE INFORMATION - Michael Reid http://www.math.brown.edu/~reid/rubik/ links to pages, notes, solutions, interactive cubes on the Web, books, software, and algorithms - RUBIK'S CUBE - Georges Helm http://ourworld.compuserve.com/homepages/Georges_Helm/cubeold.htm 600 solutions to 2x2x2, 3x3x3, 4x4x4, and 5x5x5 cubes, pyraminx, and barrel - HOW TO SOLVE THE RUBIK'S CUBE 2.0 - Mark Jeays http://www.ncf.carleton.ca/~ad161/rubiks.html a complete solution to solving the cube starting from any position, based on the 1980 book Notes on Rubik's Magic Cube - THE MATHEMATICS OF THE RUBIK'S CUBE - W. D. Joyner http://web.usna.navy.mil/~wdj/rubik_nts.htm lecture notes for a course given at the U.S. Naval Academy, available in LaTex and ASCII versions and including an introduction; chapters on logic, functions on sets, permutations and permutation puzzles, some solution strategies, groups, orbits, actions, and cosets, Cayley graphs and God's algorithm, symmetry groups of the Platonic solids, structure of the Rubik's cube group, Rubika esoterica, and realizing PGL(2,F5) inside the Rubik's cube group; and references \|/ To find more sites about the Rubik's cube, use the Forum's Math Library searcher to look for the word Rubik: http://mathforum.org/library/#search For conversations about solving Rubik's cube, search all epigone discussions of groups archived by the Math Forum: http://mathforum.org/discussions/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- MATHEMATICAL IDEAS IN SCIENCE - Seven Stones Multimedia http://www.7stones.com/Homepage/Publisher/Tut01.html A series of tutorial modules using JavaScript, Shockwave for Director, or Shockwave Flash, designed to help clarify some complex ideas in mathematics and science. Contents include: - sphere packings - shapes and lattices - waves and harmonic disturbance - vectors, projectile motion, planetary orbits - octonion and division algebras; lie algebras, groups, and spinors (Clifford algebras) - special relativity - quantum mechanics, uncertainty, nuclear decay and halflife, Bohr atoms - statistics (linear regression) - astronomy (expanding universe, Doppler shift) More information is available from the Seven Stones home page: http://www.7stones.com/Homepage/sevenhome2.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \

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