- Ackroyd, Peter Blake, Sinclair-Stevenson, 1995. PR4147.A55
- Armstrong, M.A. Groups and Symmetry, Springer-Verlag, 1988 (Loren)
- Ascher, Marcia: “Patterned Strip Decorations”, Chapter 7 in Ethnomathatics: Mathematical Ideas in Other Cultures., Wadsworth & Brooks/Cole, 1990.
- Baglivo, Jenny A. Incidence and Symmetry in Design and Architecture , NA2750 .B3
- Barber, Frederick, et al., Tiling the Plane, COMAP Module, 1989.
- Boles & Newman, The Surface Plane , Pythagorean Press, 1992. (JNC)
- Brown, Richard G. Transformation Geometry, Dale Seymour, 1973 (JNC)
- Buyske, Cederberg, Magariar, Simonson, Tilings, Periodic & Penrose, COMAP Module.
- Caldwell, J.H. Topics in Recreational Mathematics, Cambridge University Press, 1966 (Chapter 11) (JNC – xeroxed copy).
- Clason, R., Peters, W., Frank, M., “Quasicrystals and the Penrose Patterns: A Geometric Activity with a Scientific Application,” in School Science and Mathematics, Vol 93(7), November 1993.
- COMAP, Geometry’s Future, Conference Proceedings sponsored by COMAP.
- Coxeter, Introduction to Geometry
- Coxeter & Moser, Generators & Relations for Discrete Groups, 4th ed QA171.C7
- Crowe, Donald Symmetry, Rigid Motions, and Patterns, HIMAP Module 4, COMAP, 1986. (JNC)
- Devlin, Keith “Symmetry and Regularity” in Mathematics: The Science of Patterns, Scientific American Library (Steen, JNC)
- Dubrovsky, Vladimir, “Ornamental Groups”, in Quantum November/December 1991.
- Ehrenfeucht, A. The Cube Made Interesting, Pergamon Press, 1964 (Martha)
- Ernst, Bruno, The Magic Mirror of M. C. Escher (JNC)
- Farmer, David Groups and Symmetry: A Guide to Discovering Mathematics, AMS 1996.
- Fejes Toth L., Regular Figures QA601.F38
- Fetter, Ann et al. Three-Dimensional Symmetry Activity Book, Key Curriculum Press. Has a great bibliography and an accompanying video.
- Field, Michael and Golubitsky, Martin, Symmetry in Chaos: A Search For Pattern in Mathematics and Nature, Oxford, 1992. (Wallace)
- Gallian, Joseph A., Contemporary Abstract Algebra, (3rd. ed.), Heath 1994.
- Gallian, Joseph A., “Symmetry in Logos and Hubcaps” in American Mathematical Monthly 97(3):235-238, March 1990.
- Gardner, Martin, “The Art of M. C. Escher” Mathematical Carnival
- Gardner, Martin, Penrose Tiles to Trapdoor Ciphers W.H. Freeman, 1989.
- Garfunkel et al., “Patterns”, Chapter 17 in For All Practical Purposes, Freeman. (Steen)
- Grunbaum & Shephard, Tilings and Patterns,, QA166.8.G78
- Hanson, Robert M. Molecular Origami. (JNC)
- Hargittai and Hargittai, Symmetry: A Unifying Concept, Shelter, 1994. (JNC)
- Hargittai and Lengyel, “The Seven One-Dimensional Space-Group Symmetries Illustrated by Hungarian Folk Needlework,” J. Chemical Education, Dec. `84
- Hargittai and Lengyel, “The Seventeen Two-Dimensional Space-Group Symmetries in Hungarian Needlework”, J. Chemical Education, Jan. `85
- Henle, Michael, Modern Geometries: The Analytic Approach, Prentice Hall, 1997 (JNC)
- Holden, Alan Shapes, Space and Symmetry, Dover, 1973. QA491.H63
- Locher, J.L., The World of M. C. Escher
- Lockwood, E.H., and MacMillan, R.H.~ Geometric Symmetry, 1977 (Smith)
- NCTM, Connecting Mathematics, Addenda Series: Grades 9-12, 1991 (JNC)
- NCTM, Geometry From Multiple Perspectives, Addenda Series: Grades 9-12, 1991 (JNC)
- MacGillavry, Caroline H., Symmetry Aspects of M. C. Escher’s Periodic Drawings, NC745.M3
- McKeown and Badler, “Creating Polyhedral Stellations,” Computer Graphics, July `80
- Natsoulas, Anthula, “Group Symmetries Connect Art and History with Mathematics,” Mathematics Teacher 93:5 (May 2000): 364-370
- Niman & Norman, “Mathematics and Islamic Art,” The American Mathematical Monthly, Vol 8, June-July `78
- O`Daffer, Geometry: An Investigative Approach, QA445.042
- Paley, Morton D., William Blake, Phaidon, 1978 PR4147.P35
- Penrose, Roger: The Emperor’s New Mind, Oxford University Press, 1989.
- Ranucci, Ernest R., “Master of Tessellations: M. C. Escher 1898-1972,” The Mathematics Teacher, April `74, Vol 64, #4, p 229-306
- Ranucci, E.R. & Teeters, J.E., “Creating Escher-Type Drawings,” The Mathematics Teacher April `74, Vol 64, #4?
- Rose, B. and Stafford, R., “An Elementary Course in Mathematical Symmetry” in The American Mathematical Monthly 88 (1981): 59-64.
- Rosen, Joe, Symmetry in Science: An Introduction to the General Theory, Springer, 1995. (Martha)
- Rush, Jean, “On the Appeal of M. C. Escher’s Pictures,” Leonardo 12 (79)
- Schattschneider, Doris, “Tiling the Plane with Congruent Pentagons,” Mathematics Magazinei, Jan `78
- Schattschneider, Doris, “Plane Symmetry Groups,” Mathematical Monthly, (85) June-July `78
- Schattschneider, Doris, “The Plane Symmetry Groups: Their Recognition and Notation,” Mathematical Monthly, `85 (`78)
- Schattschneider, Doris, “Will It Tile? Try the Conway Criterion!,” Mathematics Magazine, Sept `80
- Schattschneider Doris, Visions of Symmetry: Notebooks, Periodic Drawings and Related Works of M. C. Escher, W. H. Freeman `90 (JNC)
- Senechal, Marjorie “Which Tetrahedra Fill Space?,” Mathematics Magazine Nov `81
- Senechal, Marjorie and Fleck, George Patterns of Symmetry 1974. (Smith)
- Senechal, Marjorie, “Finding the Finite Groups of Symmetries of the Sphere” in The American Mathematical Monthly 97 (1990): 329-335.
- Senechal, Marjorie and Jean Taylor, “Quasicrystals:The View from Les Houches” in Mathematical Intelligencer 12(2):54-64 (Spring 1990).
- Seymour, Dale & Britton, Jill, Introduction to Tessellations, p 183-236, Dale Seymour Publications
- Shubnikov and Koptsik, Symmetry in Science And Art, Plenum, 1964 (Loren)
- Sibley, Thomas Q. Geometric Patterns: A Study in Symmetry, Saint John’s University, 1989. (JNC)
- Steen, On the Shoulders of Giants: New Approaches to Numeracy, National Research Council, 1990.
- Steinhardt, Paul Joseph: “Quasicrystals” in American Scientist, 74(6):586-597 (Nov.-Dec. 1986)
- Stewart, Ian and Golubitsky, Martin, Fearful Symmetry: Is God a Geometer?, Penguin, 1992.
- Tannenbaum Peter & Robert Arnold, Chapter 11 (Symmetry of Motion) and Chapter 12 (Symmetry of Scale and Fractals) in Excursions In Modern Mathematics, 2nd ed., Prentice Hall 1995. (Bolstad)
- Teeters, Joseph C. “How To Draw Tessellations of the Escher Type,” The Mathematics Teacher, April `74, Vol 64, #4, p 307-310
- von Baeyer, H. “Impossible Crystals” in Discover 11 (2) (1990): 69-78.
- Washburn, Dorthy K., and Donald W. Crowe Symmetries of Culture: Theory and Practice of Plane Pattern Analysis, University of Washington Press 1988. Section 1.4 deals with the role of symmetry in perception.(JNC)
- Weyl, Hermann, Symmetry (JNC)
- Yale, Paul Geometry and Symmetry, Dover (JNC)
- Zaslavsky, Claudia Africa Counts; number and pattern in African culture GN476.1.Z37
Software For Use In Symmetry Exploration:
- Cabri Geometry (Texas Instruments)
- DiscoverForm (Intellimation)
- Escher-Sketch (Intellimation)
- The Geometer’s Sketchpad (Key Curriculum Press)
- Geometric Golfer (MECC)
- Kaleidotile (ftp.geom.umn.edu)
- Kali (ftp.geom.umn.edu)
- Tesselmania (MECC)
Videos For Use in Symmetry Exploration
- The Alahambra Past and Present—A Geometer’s Odyssey, Parts I and II, California State University, Northridge, 1992.
- Dihedral Kaleidoscopes, College Geometry Project, 1966. (owned by St. Olaf)
- Symmetries of the Cube, College Geometry Project, 1971 (owned by St. Olaf)
- Three Dimensional Symmetry, Key Curriculum Press, 1994. (owened St. Olaf)