4. More About Fabrics, S. A. Zielinski, Master Weaver Library, Vol. 20, LeClerc, 1985, p. 14.

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1 Satin Counter References: 1. Technology of Textile Design, E. A. Posselt, 1888, p Construction of Weaves, No. 2, Charles G. Petzold, 1900, p The Structure of Weaving, Ann Sutton, Lark Books, 1982, p More About Fabrics, S. A. Zielinski, Master Weaver Library, Vol. 20, LeClerc, 1985, p The Complete Book of Drafting for Handweavers, Madelyn van der Hoogt, Shuttle Craft Books, 1994, p Mathematics Made Difficult, Carl E. Linderholm, World Publishing, Twill Counter References: 1. Posselt, E. A., Technology of Textile Design, Posselt, Reingold, Edward M., Jurg Nievergelt, and Narsingh Deo, Combinatorial Algorithms: Theory and Practice, Prentice-Hall, Boolen Design References: 1. An Investigation of the Laws of Thought on which are Founded the Mathematical Theories of Logic and Probabilities, George Boole, 1854, Dover reprint, Boolean Algebra and its Applications, J. Eldon Whitesitt, Addison-Wesley, A Handbook of Weaves, G. H. Oelsner, Macmillan, pp Fractal Sequences References: 1. Mandelbrot, Benoit B. The Fractal Geometry of Nature. W. H. Freeman, Schroeder, Manfred. Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. W. H. Freeman, On-Line Encyclopedia of Integer Sequences: 4. Residue Sequences in Weave Design, Ralph E. Griswold, 2003: 5. Drafting with Sequences, Ralph E. Griswold, 2002: 6. Some Self-Similar Integer Sequences, Michael Gilleland, 2002: Continued Fraction References 1. Continued Fractions, C. D. Olds, Mathematical Association of America, The Higher Arithmetic, H. Davenport, Cambridge University Press, 1999.

2 3. What is Mathematics?, Richard Courant and Herbert Robbins, Oxford University Press, N umber Theory: Continued Fractions: 5. Continued Fractions... an Introduction: Ewcurrence Relations References 1. Residue Sequences in Weave Design, Ralph E. Griswold, 2000: // 2. The Encyclopedia of Integer Sequences, N. J. A. Sloane and Simon Plouffe, Academic Press, 1995, pp Pattern Substitution References 1. A New Kind of Science, Stephen Wolfram, Wolfram Media, Drawdown Automata, Part 1: Basic Concepts, Ralph E. Griswold: 3. Designing with L-Systems, Part 1: String Rewriting Systems, Ralph E. Griswold: 4. Pattern Extension Methods, Ralph E. Griswold, Complex Weavers Journal, May 2002, pp Color Weaveability References 1. Introduction to Algorithms: A Creative Approach, Udi Manber, Addison-Wesley, Analysis Program, Gregg M. Townsend, 2000: 3. Color Drawup Program, Ralph E. Griswold, 2000: Residue Sequence References 1. CRC Concise Encyclopedia of Mathematics, Eric W. Weisstein, Chapman & Hall/CRC, 1998, p Drafting with Sequences, Ralph E. Griswold, 2004: 3. Block Design the Easy Way, Doramay Keasbey, Weaver s, Spring 1997, pp Beyond Fibonacci: Some Thoughts on Mathematical Sequences and Weaving Drafts, Complex Weavers Newsletter 55, September A Color Design Application References 1. Ralph E. Griswold, Drafting Weavable Color Patterns, Part 1, 2004:

3 2. Ralph E. Griswold, Penelope A Pattern Tile Editor, IPD234, Department of Computer Science, The University of Arizona, 1996: 3. Ralph E. Griswold, Clinton L. Jeffery, and Gregg M. Townsend, Graphics Programming in Icon, Peerto-Peer, Ralph E. Griswold, Weavable Color Patterns : 5. Ralph E. Griswold and Madge T. Griswold, The Icon Programming Language, 3th ed., Peer-to-Peer, 1996: Grid Layout References 1. The Morse-Thue Sequence, Ralph E. Griswold, 2002: 2. Fractal Sequences, Ralph E. Griswold, 2002: 3. On-Line Encyclopedia of Integer Sequences: 1. The Morse-Thue Sequence, Ralph E. Griswold, 2002: 2. Fractal Sequences, Ralph E. Griswold, 2002: 3. On-Line Encyclopedia of Integer Sequences: Grid Overlay References 1. Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002, pp Ralph E. Griswold, Designing Weave Structures Using Boolean Operations, Part 1, 2004: Sound Interlacement References 1. From Drawdown to Draft A Programmer s View, Ralph E. Griswold 2004: 2. Satins and Twills: An Introduction to the Geometry of Fabrics, Branko Grünbaum and G. C. Shephard, Mathematics Magazine, 1980 (53), Tilings and Patterns, Branko Grünbaum and G. C. Shephard, W. H. Freeman, When a Fabric Hangs Together, C. R. J. Clapham, Bulletin of the London Mathematics Society, 1980 (12), An Efficient Algorithm Determining When a Fabric Hangs Together, T. Enns, Geometriae Dedicata, 1984 (15),

4 6. When a Fabric Hangs Together, C. Delaney, Ars Combinatoria, 1984 (15), The Bipartite Tournament Associated with a Fabric, C. R. J. Clapham, Discrete Mathematics, 1985 (57), Color-and Weave II, Margaret B. Windeknecht, self published, Farey Fraction References 1. CRC Concise Encyclopedia of Mathematics, Eric W. Weisstein, Chapman & Hall/CRC, 1999, pp The Book of Numbers, John H. Conway and Richard K. Guy, Springer-Verlag, 1996, pp Residue Sequences in Weave Design, Ralph E. Griswold, 2000: 4. A Handweaver s Notebook, Heather G. Thorpe, Collier Books, 1956, pp The Farey Room, Linas Vepstas: 6. Farey Numerator Sequences: 7. Farey Denominator Sequences: Name Drafting References 1 A Handweaver s Notebook, Helen G. Thorpe, Collier Books, 1956, pp Master Weaver Library, S. A. Zielinski, Leclerc, 1979, Vol. 17, pp The Weaving Book: Patterns and Ideas, Helene Bress, Scribners, 1981, pp , 282, 307, A New HGA Name Draft, Ena Marston, Shuttle, Spindle and Dyepot, Number 47, Summer 1981, pp Commemorate with a Name Draft, Norma Smayda, Shuttle, Spindle and Dyepot, Number 91, Summer 1992, pp How to Weave Name Drafts, Christina Hammel, Handwoven, November/December 1997, pp ABCDraft: A Manual for Drafting and Weaving, Peter Mitchell, Chesebro-Mitchell Associates, Code Drafting, Part 1: Introduction, Ralph E. Griswold, 2004: 2. Character Sets, Ralph E and Madge T. Griswold, 2004: 3. Continued Fraction Sequences and Weave Design, Part 1: Introduction, Ralph E. Griswold, 2000: 4. Code Drafting, Part 2: Balanced Code Tables, Ralph E. Griswold: 5. Dave Farber's home page:

5 6. Farberisms: L-System References 1. Drawdown Automata, Part 1: Basic Concepts, Ralph E. Griswold, 2002: 2. Developmental Systems and Languages in their Biological Context, Aristid Lindenmayer in Developmental Systems and Languages, G. T. Herman and G. Rozenberg, eds., North-Holland/American Elsevier, The Book of L, G. Rozenberg and A. Salomaa, eds., Springer-Verlag, Lindenmayer Systems, Fractals, and Plants, Przemyslaw Prusinkiewicz and James Hanan, Spring- Verlag, The Algorithmic Beauty of Plants, Przemyslaw Prusinkiewicz and Aristid Lindenmayer. Springer, New York, The Morse-Thue Sequence, Ralph E. Griswold, 2004: 7. Drafting with Sequences, Ralph E. Griswold, 2004: 2. Lparser, Laurens Lapré: Crackle Weave References 1. Designing and Drafting for Handweavers, Berta Frey, Macmillan, The Weaver s Book, Harriet Tidball, Macmillan, Master Weaver Library, Vol. 8: Contemporary Approach to Traditional Weaves, S. A. Zielinski, Nilus Leclerc, Operations on Patterns References 1. Elements of Combinatorial Computing, Mark B. Wells, Pergamon Press, New York, pp Constrained Patterns References 1. Stephen Wolfram, A New Kind of Science, Stephen Wolfram, Wolfram Media, Drawdown Automata, Part 1: Basic Concepts, Ralph E. Griswold: 3. Drawdown Automata, Part 2: Neighborhoods and State-Transition Rules, Ralph E. Griswold: weaving/webdocs/gre_dda2.pdf Grid Overlay Reference 1. Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002, pp

6 Line-Based Pattern References 1. Line-Based Patterns, Part 1: Basic Concepts, Ralph E. Griswold, 2004: 2. When a Fabric Hangs Together (Or Doesn t), Ralph E. Griswold, 2004: Cellular Automata References 2. The Recursive Universe; Cosmic Complexity and the Limits of Scientific Knowledge, William Poundstone, Contemporary Books, Cellular Automata Machines: A New Environment for Modeling, Tommaso Toffoli and Norman Margolus, The MIT Press, Cellular Automata and Complexity; Collected Papers, Stephen Wolfram, Addison-Wesley, Wheels, Life and Other Mathematical Amusements, Martin Gardner, Freeman, The Armchair Universe: An Exploration of Computer Worlds, A. K. Dewdney, Freeman, The Mathematical Tourist: Snapshots from Modern Mathematics, Ivars Peterson, Freeman, 1988.