References

A&H

Lynn Arthur Steen, editor, Mathematics today: twelve informal essays, Springer Verlag, 1978, see chapter by Kenneth Appel and Worlfgang Haken.

Alb

Don Albers, ``Professor of (Magic) Mathematics'', Math Horizons, February 1995, p11-15

B&C

Mehdi Behzad and Gary Chartrand, Introduction to the theory of graphs, Allyn and Bacon, 1971.

Bak

Aaron Bakst, Mathematical Puzzles and Pastimes, Princeton Van Nostrand, 1965.

Bal

Walter William Rouse Ball, Mathematical Recreations & Essays, revised by H.S.M. Coxeter, the MacMillan Company, 1962.

Ber

Elwyn R. Berlekamp, John Horton Conway, Richard K. Guy, Winning ways, for your mathematical plays, published by Academic Press, 1982.

C&C

J.H. Conway and H.S.M. Coxeter, Triangulated polygons and frieze patterns, Math. Gaz. 57(1973) 87-94 (questions), 175-183 (answers).

C&G

Conway and Guy, ``The Book of Numbers'', Springer, Copernicus Series, 1996, Chapter 2.

C&R

H.M. Cundy and A.P. Rollett, Mathematical Models, Clarendon Press, 1966.

CDF&P

Coxeter, DuVal, Flather and Petrie, The 59 Icosahedra, University of Toronto Press.

Cha

Masahiro Chatani, Pop-up greeting cards, Ondorisha Publishers, Ltd., 1986.

Cla

C.J.C. Clapham, Bull LMS 12, 1980, p161-164.

Cof

Stewart T. Coffin, The puzzling world of polyhedral Dissections, Oxford University Press, 1990.

Col

C.J. Colbourn, Winning the Lottery, The CRC Handbook of Combinatorial Designs, eds. C.J. Colbourn and J. Dinitz, CRC Press, 1995, 578-584.

Cox

H.S.M. Coxeter, Frieze Patterns, Acta Arithmetica, XVIII (1971) 297-310.

Cro

Peter R. Cromwell, Celtic Knotwork: Mathematical Art, The Mathematical Intelligencer, 15(1), 1993, 37-47.

D,L&W

J. Dinitz, E. Lamken, W.D. Wallis, Scheduling a Tournament, The CRC Handbook of Combinatorial Designs, eds. C.J. Colbourn and J. Dinitz, CRC Press, 1995, 578-584.

D&R

Duane DeTemple and Jack M. Robertson, The equivalence of Euler's and Pick's Theorems, Mathematics Teacher, March, 1974.

Dew

A.K. Dewdney, The planiverse: computer contact with a two-dimensional world, McClelland and Stewart, 1984.

F&K

M. Fellows and N. Koblitz, Kid krypto. Proc. CRYPTO '92, Springer-Verlag, Lecture Notes in Computer Science vol. 740 (1993), 371-389.

F&S

David W. Farmer and Theodore B. Stanford, Knots and surfaces: A guide to discovering mathematics, Mathematical World, 6.

G&S

B. Grunbaum and G.C. Shephard, Tilings and patterns, W.H. Freeman, 1987.

G&S2

B. Grunbaum and G.C. Shephard, Satins and Twills: in introduction to the geometry of fabrics, Math Magazine 53, 1980, p139-161.

Gal1

Joe Gallian, ``How computers can read and correct ID numbers'', Math Horizons, Winter, 1993, p14-15.

Gal2

Joe Gallian, ``Assigning Driver's License Numbers'', Mathematics Magazine, 64 (1991), 13-22.

Gal3

Joe Gallian, ``Math on Money'', Math Horizons, November, 1995, p10-11.

Gard1

Martin Gardner, The unexpected hanging, and other mathematical diversions, Simon and Schuster, 1969.

Gard2

Martin Gardner, The new ambidextrous universe: symmetry and asymmetry from mirror reflections to superstrings, W.H. Freeman and Company, 1990.

Gard3

Martin Gardner, The Scientific American book of mathematical puzzles and diversions, in two volumes, Simon and Schuster, 1959-61.

Gard4

Martin Gardner, Hexaflexagons and other Mathematical Diversions, Univ. of Chicago Press, 1988.

Gard5

Martin Gardner, Mathematical magic show : more puzzles, games, diversions, illusions & other mathematical sleight-of-mind from Scientific American, Alfred A. Knopf, 1977.

Gard6

Martin Gardner, Aha! gotcha: paradoxes to puzzle and delight, W.H. Freeman, 1982.

Gol

Solomon W. Golumb, Polyominoes, Charles Scribner's Sons, 1965.

Gra

Lynn Arthur Steen, editor, Mathematics today: twelve informal essays, Springer Verlag, 1978, see chapter by Ronald L. Graham.

Guy

R. Guy (editor), ``Combinatorial Games'', Proceedings of Symposia in Applied Math, AMS publication

Hin

C.H. Hinton, An Episode of Flatland,

Hod

Bernard R. Hodgson, La géométrie du kaléidoscope, Bulletin de l'association mathématique du Québec, 27(2), 1987, 12-24.

Hos

J.A. Hoskins, Springer LMS 952, p300-326.

Hut

Joan Hutchinson, Math. Mag., 66, 1993, 211-226.

Hunt

E.V. Huntington, The continuum and other types of serial order, Dover, 1955.

Ifr

Georges Ifrah, From one to zero: a universal history of numbers, Viking, 1985.

Jac

H. R. Jacobs, Mathematics, a human endeavor; a textbook for those who think they don't like the subject, 3rd ed, p 38. W.H. Freeman, 1970.

Kam

E. Kamke, Theory of sets, Dover, 1950.

Lock

E.H. Lockwood, Book of Curves, published by Cambridge University Press, 1963.

Lau

Hans Lauverier, Fractals: endlessly repeating geometrical figures, Princeton University Press, 1991.

M

Aidan Meehan, Celtic Design - A Beginner's Manual, Thames and Hudson, 1991.

Pet

Ivars Peterson, The mathematical tourist: snapshots of modern mathematics, W.H. Freeman, 1988.

S&F

M. Senechal and G. Fleck, editors, Shaping Space: a polyhedral approach, Birkhauser.

S&R

Ernst Sondheimer and Alan Rogerson, Numbers and infinity: a historical account of mathematical concepts, Cambridge University Press, 1981.

S&W

Doris Schattschneider, Wallace Walker, M.C. Escher Kaleidocycles, Pomegranate Art Books, 1987

Sen

M. Senechal, Crystalline Symmetries: an informal mathematical introduction, Adam Hilger, 1990.

Shep

G.C. Shephard, Additive Frieze patterns and multiplication tables, Math. Gaz. 60 (1976), 179-184.

Sla

G. Slade, Random walks, American Scientist, March-April, 1996.

Stei

H. Steinhaus, Mathematical Snapshots, 3rd edition, Oxford University Press, 1969.

Stew

B.M. Stewart, Theory of numbers, Macmillan, 1964.

Tuc

Alan Tucker, The Art Gallery Problem, Math Horizons, Spring, 1994, p24-26

Wag

Stan Wagon, Mathematica in action, W.H. Freeman, 1991.

Wen

Magnus J. Wenninger, Polyhedron Models for the classroom, Cambridge University Press, 1971.

KnotPlot

The KnotPlot Site, Robert Scharein, University of British Columbia, http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html

MacTutor

The MacTutor History of Mathematics Archive, School of Mathematical and Computational Sciences, University of St. Andrews, http://www-groups.dcs.st-and.ac.uk/ history/

MathMania

Math Mania, The Erdös for Kids Problem Sponsoring Program, http://www.csc.uvic.ca/ mmania/

MegaMath

This is Mega Mathematics!, Los Alamos National Laboratory, http://www.c3.lanl.gov/mega-math/

Pi

http://www.cecm.sfu.ca/ pborwein/

1

Marcia Asher, Ethnomathematics: a multicultural view of mathematical ideas, Brooks/Cole Pub. Co., 1991.

2

Lynn Arthur Steen, editor, On the shoulders of giants: new approaches to numeracy, National Academy Press, Washington, D.C, 1990, see chapter by T.F Banchoff.

3

Nancy Casey and Mike Fellows (1993), This is mega-mathematics: stories and activities for mathematical thinking, problem-solving and communication, The Los Alamos National Laboratory, Los Alamos, New Mexico

4

David W. Farmer, Groups and symmetry: a guide to discovering mathematics, AMS, 1996.

5

Martin Gardner - all his books!!

6

Paul Hoffman, Archimedes Revenge, Ballantine Books

7

David Klarner, ed., The Mathematical Gardner, Prindle, Weber, and Schmidt, 1981.

8

Arthur L Loeb, Concepts and Images, Visual Mathematics, Birkhauser, 1993.

9

John Mason, with Leone Burton and Kaye Stacey, Thinking Mathematically, Addison-Wesley, 1985.

10

Paulos, J.A. (1991), Beyond numeracy: ruminations of a numbers man, Alfred A. Knopf, New York, 1991.

11

Cliff Sloyer, Fantastiks of Mathematics: Applications of Secondary Mathematics, Janson Publications, Inc., Providence, R.I., 1986. ISBN 0- 939765-00-4.

12

Ian Stewart, Game Set and Math: enigmas and conundrums, Penguin, 1991.

13

Ian Stewart, Another Fine Math You Got Me Into.

Many more web sites can be found starting from the web site http://camel.math.ca/