Hardcopy books and articles with citations to
Dissections: Plane & Fancy

Citations in conference papers:

• Prosenjit Bose, Jurek Czyzowicz, Evangelos Kranakis, Danny Krizanc, and Anil Maheshwari, "A note on cutting circles and squares into equal area pieces". FUN '98, Fun with Algorithms, Island of Elba, Italy, June 1998.
  
  
• Jin Akiyama and Gisaku Nakamura, "Dudeney dissection of polygons," Discrete and Computational Geometry, Japanese Conference, JCDCG'98, Lecture Notes in Computer Science, vol. 1763, Tokai University, Tokyo, Japan, December 1998, pages 14-29.
  
  
• Evangelos Kranakis, Danny Krizanc, and Jorge Urrutia, "Efficient Regular Polygon Dissections," Discrete and Computational Geometry, Japanese Conference, JCDCG'98, Lecture Notes in Computer Science, vol. 1763, Tokai University, Tokyo, Japan, December 1998, pages 172-187.
  
  
• Prosenjit Bose, Jurek Czyzowicz, and Dominic Lessard, "Cutting rectangles in equal area pieces." Proceedings of the 10th Canadian Conference on Computational Geometry, August 1998, pages 94-95.
  
  
• Erik Demaine, Martin Demaine, Anna Lubiw, Joseph O'Rourke, and Irena Pashchenko, "Metamorphosis of the Cube", Proceedings of the 15th Annual ACM Symposium on Computational Geometry), 1999, pages 409-410, video and abstract.
  
  
• Jurek Czyzowicz, Evangelos Kranakis, and Jorge Urrutia, "Dissections, Cuts, and Triangulations," Proceedings of the 11th Canadian Conference on Computational Geometry, Vancouver, Canada, August 1999, pages 154-157. (See electronic proceedings)
  
  
• Erik D. Demaine, Martin L. Demaine, David Eppstein, and Erich Friedman, "Hinged Dissection of Polyominoes and Polyiamonds," Proceedings of the 11th Canadian Conference on Computational Geometry, Vancouver, Canada, August 1999. (See electronic proceedings)
  
  
• Jin Akiyama and Gisaku Nakamura, "Congruent Dudeney dissection of polygons," 9th Quadrennial International Conference on Graph Theory, Combinatorics, Algorithms and Applications, June 4-9, 2000, Kalamazoo, Michigan.
  
  
• Jin Akiyama and Gisaku Nakamura, "Dudeney dissections of polygons and polyhedrons - a survey -," Discrete and Computational Geometry, Japanese Conference, JCDCG'00, Lecture Notes in Computer Science, vol. 2098, Tokai University, Tokyo, Japan, November 2000, pages 1-30.
  
  
• Jin Akiyama, Takaoka Sakai, and Jorge Urrutia, "Sequentially divisible dissections of simple polygons," Discrete and Computational Geometry, Japanese Conference, JCDCG'00, Lecture Notes in Computer Science, vol. 2098, Tokai University, Tokyo, Japan, November 2000, pages 53-66.
  
  
• Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, "Vertex-Unfolding of Simplicial Manifolds," Proceedings of the 18th Annual ACM Symposium on Computational Geometry (SoCG 2002), Barcelona, Spain, June 5-7, 2002, pages 237-243.
  
  
• Marc van Kreveld and Bettina Speckmann, "Cutting a country for smallest square fit," Proceedings of the 13th International Symposium on Algorithms and Computation (ISAAC 2002), LNCS, vol. 2518, pages 91-102. Online copy.
  
  
• Jin Akiyama and Gisaku Nakamura, "Congruent Dudeney Dissections of Polygons: All the Hinge Points on Vertices of the Polygons," Discrete and Computational Geometry, Japanese Conference, JCDCG 2002, Lecture Notes in Computer Science, vol. 2866, Tokyo, Japan, December 2002, pages 14-21.
  
  
• Hiroshi Nagamochi and Yuusuke Abe, "An approximation algorithm for dissecting a rectangle into rectangles with specified areas," Proceedings of the 14th International Symposium on Algorithms and Computation (ISAAC 2003), LNCS vol. 2906, pages 280-289.
  
  
• Igor Verner and Sarah Maor, "Mathematics in architecture education," Mathematical modelling (ICTMA 12): education, engineering and economics: proceedings from the twelfth International Conference on the Teaching of Mathematical Modelling and Applications, (London, 2005), Chichester: Horwood (2007), pages 406-414.
  
  
• Erik D. Demaine, Martin L. Demaine, Jeffrey F. Lindy, and Diane L. Souvaine, "Hinged dissection of polypolyhedra," in Proceedings of the 9th Workshop on Algorithms and Data Structures (WADS 2005), Waterloo, Ontario, Canada, August 15-17, 2005, pages 205-217.
  
  
• Chao Tian, Vinay A. Vaishampayan, and N. J. A. Sloane, "Constant weight codes: a geometric approach," in Proceedings of the IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-9, 2005, pages 249-253.
  
  
• Igor Verner and Sarah Maor, "Two mathematics courses for architecture college students: from context problems to design tasks," in 2006 ASEE Annual Conference & Exposition: Excellence in Education, Chicago, Illinois, June 18-12, 2006.
  
  
• Daniel Wyllie Lacerda Rodrigues, "Dealing with Structures and Visual Thinking: Regular Polygons Split into Rhombuses", 5a Conferencia Internacional de Matemática y Diseño - M&D2007, Blumenau, SC, Brazil, July 2007, pages 132-138.
  
  
• Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, and Scott D. Kominers, "Hinged dissections exist", Proceedings of the 24th Annual ACM Symposium on Computational Geometry, College Park, Maryland, June 2008, pp. 110-119.
  
  
• Reza Sarhangi, "Making patterns on the surfaces of swing-hinged dissections," in Proceedings of Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture, Leeuwarden, the Netherlands, July 2008.

Citations in journal papers:

• Francesc Aguiló, Miquel Angel Fiol, and Maria Lluïsa Fiol, "Periodic Tilings as a Dissection Method," American Mathematical Monthly, vol. 107, April 2000, pp. 341-352.
  
  
• Evangelos Kranakis, Danny Krizanc, and Jorge Urrutia, "Efficient Regular Polygon Dissections," Geometriae Dedicata, vol. 80, 2000, pp. 247-262.
  
  
• Bill Casselman, "On the dissecting table", +plus, issue 16, September 2001.
  
  
• F. Aguiló, M. A. Fiol, and M. L. Fiol, "On constructing 2D and 3D equidecompositions using tessellations as a dissection tool", special issue of Symmetry: Art and Science, 2001/ 1,2 on "Intersections of Art and Science, Fifth Interdisciplinary Symmetry Congress and Exhibition", Sydney, Australia, July 8 - 14, 2001.
  
  
• "In Memory of Anton Hanegraaf," Cubism for Fun, no. 56, October 2001, p. 39.
  
  
• Pieter Torbijn, "Holey Polygons," Cubism for Fun, no. 56, October 2001, pp. 40-42.
  
  
• Joe Kingston and Des MacHale, "Dissecting Squares," Mathematical Gazette, vol. 85, no. 504, November 2001, pp. 403-430.
  
  
• John Sharp, "Fraudulent Dissection Puzzles -- A Tour of the Mathematics of Bamboozlement," Mathematics in School, vol. 31, no. 4, September 2002, pp. 7-13.
  
  
• Bill Casselman, "A Remarkable Fundamental Region," Notices of the AMS, vol. 49, no. 8, September 2002, p. 904.
  
  
• Chengde Mao, Venkat R. Thallidi, Daniel B. Wolfe, Sue Whitesides, and George M. Whitesides, "Dissections: Self-Assembled Aggregates that Spontaneously Reconfigure their Structures when their Environment Changes," Journal of the American Chemical Society, vol. 124, 2002, pp. 14508-14509.
  
  
• Jin Akiyama, Gisaku Nakamura, Akihiro Nozaki, Ken'ichi Ozawa, and Toshinori Sakai, "The optimality of a certain purely recursive dissection for a sequentially n-divisible square," Computational Geometry: Theory and Applications, vol. 24, 2003, pp. 27-39.
  
  
• Michel Criton, "3000 ans de découpages géométriques," Tangente: l'aventure mathématique, no. 91 (Mars-Avril 2003), pp. 22-28.
  
  
• Joseph O'Rourke, "Computational Geometry Column 44," International Journal of Computational Geometry and Applications (IJCGA), vol. 13, no. 3 (June 2003), pp. 273-275, and SIGACT News, vol. 34, no. 2 (June 2003), pp. 58-60.
  
  
• Ed Barbeau, "Fallacies, Flaws, and Flimflam: FFF #221," The College Mathematics Journal, vol. 35, no. 2 (March 2004), pp. 121-122.
  
  
• J. Akiyama, F. Hurtado, C. Merino, and J. Urrutia, "A problem on hinged dissections with colours," Graphs and Combinatorics, vol. 20, no. 2 (June 2004), pp. 145-159.
  
  
• D. G. Rogers, "Pythagoras framed, cut up Liu Hui," (Norwegian. English summary) Normat, vol. 52, no. 2 (2004), 71-78.
  
  
• Grupo Alquerque de Sevilla, "Cuadraturas de polígonos regulares," Revistas de Matemáticas: SUMA, Número 48 (Febrero 2005), 65-68.
  
  
• Anthony Wexler and Sherman Stein, "Making a Bed," College Mathematics Journal, vol. 36, no. 3 (May 2005), pp. 213-221.
  
  
• Anton Aubanell, "Materials experimentals per al laboratori de matemàtiques," BIAIX, núm. 23 (Maig 2005), pp. 75-81.
  
  
• Tom Verhoeff, "Figuren opknippen en periodieke vlakvullingen," Pythagoras, Jahrgang 45, nummer 1 (September 2005), pp. 18-23.
  
  
• I. M. Verner and S. Maor, "Mathematical aspects of educating architecture designers: a college study," International Journal of Mathematical Education in Science and Technology, vol. 36, no. 6 (15 September 2005), pp. 655-671.
  
  
• Andrew Jobbings, "Dissecting a triangle into a rectangle," Mathematical Gazette, vol. 89, no. 516 (November 2005), pp. 501-502.
  
  
• Alfinio Flores, "Hinged Geometry," ON-Math, vol. 4, no. 1 (2006).
  
  
• Norbert Hungerbühler and Michael Nüsken, "Delian Metamorphoses," Elemente der Mathematik, vol. 61, issue 1 (2006), pp. 1-19.
  
  
• Helmer Aslaksen, "PSLE 2005 and Curry's Paradox," Mathematical Medley, vol. 32, no. 2 (2006), pp. 2-9.
  
  
• Pedro Alegría, "Geometría recortable," Revista Sigma, No. 28 (May 2006), pp. 95-115.
  
  
• Izidor Hafner and Tomislav Zitko, "Dissection of rhombic 36-hedron to a tetrahedron and a truncated tetrahedron," Visual Mathematics vol. 8, no. 4 (2006).
  
  
• Izidor Hafner and Tomislav Zitko, "Equidecomposition of rhombohedron, hexagonal prism, and rhombic dodecahedron," Visual Mathematics vol. 8, no. 4 (2006).
  
  
• Izidor Hafner and Tomislav Zitko, "Hinged dissection of a rhombic solid to the truncated cuboctahedron," Visual Mathematics vol. 8, no. 4 (2006).
  
  
• Izidor Hafner, "Live3D Animations to Solution of Conway-Radin-Sadun Problem," Visual Mathematics vol. 9, no. 1 (2007).
  
  
• Izidor Hafner, "Hinged dissection of a `rhombic' solid to the truncated icosidodecahedron," Visual Mathematics vol. 9, no. 2 (2007).
  
  
• Izidor Hafner, "Dissection of a rhombic solid to the truncated dodecahedron and the icosahedron," Visual Mathematics vol. 9, no. 2 (2007).
  
  
• Izidor Hafner, "4-piece dissection of Juel's pyramid to a triangular prism," Visual Mathematics vol. 9, no. 3 (2007).
  
  
• Hiroshi Nagamochia and Yuusuke Abe, "An approximation algorithm for dissecting a rectangle into rectangles with specified areas," Discrete Applied Mathematics, vol. 155, issue 4, 15 February 2007, pp. 523-537.
  
  
• M. Kano, Mari-Jo Ruiz, and Jorge Urrutia, "Jin Akiyama: A Friend and His Mathematics," Graphs and Combinatorics, vol. 23[Suppl] (2007), pp. 1-39.
  
  
• Alexander Drohobyczer, "Another look at dissecting three equal squares into one," Journal of Recreational Mathematics, vol. 34, no. 1 (2005-2006), pp. 24-34.
  
  
• Jurek Czyzowicz, Evangelos Kranakis, and Jorge Urrutia, "Rectilinear glass-cut dissections of rectangles to squares," Applied Mathematical Sciences, vol. 1, no. 52 (2007) pp. 2593-2600.
  
  
• Sarah Maor and Igor M. Verner, "Mathematical aspects in an architectural design course: the concept, design assignments, and follow-up," Nexus Network Journal, vol. 9, no. 2 (2007) pp. 363-376.
  
  
• Joseph O'Rourke, "Computational Geometry Column 50," ACM SIGACT News, vol. 39, no. 1 (2008), pp. 73-76.
  
  
• Eugène Neuzil and Suzanne Neuzil, "Puzzles with 3½-iamonds," Cubism For Fun, no. 75 (March 2008), pp. 27-31.
  
  
• Jean-Pierre Friedelmeyer, "Dissections et puzzles," Pour la Science, no. 59 (Avril-Juin 2008), pp. 54-59.
  
  
• Izidor Hafner, "Gerling's Dissection," Visual Mathematics, vol. 10, no. 1 (2008).
  
  
• Chao Tian, Vinay A. Vaishampayan, and N. J. A. Sloane, "Constant weight codes: a geometric approach based on dissections," submitted.

Citations in book chapters:

• Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, "Vertex-Unfolding of Simplicial Manifolds," in Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday, ed. by Andras Bezdek, Marcel Dekker, 2003, pp. 215-228.
  
  
• Jin Akiyama and Gisaku Nakamura, "Congruent Dudeney Dissections of triangles and convex quadrilaterals with hinge points on the sides of the polygon," in Discrete and Computational Geometry: The Goodman-Pollack Festschrift, ed. B. Aronov, S. Basu, J. Pach, and M. Sharir, Springer, 2003, pp. 43-64.
  
  
• Joseph O'Rourke and Subhash Suri, "Polygons," in Handbook of Discrete and Computational Geometry, second edition, ed. Jacob E. Goodman and Joseph O'Rourke, 2004, CRC Press, pp. 583-606.

Citations in books:

• Eric W. Weisstein, CRC Concise Encyclopedia of Mathematics, CRC Press, 1998. Also see Eric Weisstein's World of Mathematics.
  
  
• Jean Bauer, Whole Numbers' Geometry, trigam sa, March 3, 2000, powerpoint slides on a CD.
  
  
• Robin Hartshorne, Geometry: Euclid and Beyond, Springer, Undergraduate Texts in Mathematics, 2000.

  "A new book by Frederickson (1997) promises to become the standard reference for dissectors."

• Gianni A. Sarcone, Almanacco del matematico in erba 2000-2001, Il Laboratorio d'Archimede, Lausanne, Switzerland, 2000.
  
  
• Gianni A. Sarcone and Marie-Jo Waeber, Matemagica, Giochi d'ingegno con la matematica, Edizioni La Meridiana.
  
  
• David W. Henderson, Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces (2nd Edition), Prentice Hall, 2001.
  
  
• Karl Shaffer, Erik Stern, and Scott Kim, Math Dance with Dr. Schaffer and Mr. Stern, MoveSpeakSpin, Santa Cruz, CA, 2001. (See chapter 11.)
  
  
• David Wolfe and Tom Rodgers, Puzzlers' Tribute: A Feast for the Mind, A K Peters, 2002. (See "Three Problems", by Andy Liu and Bill Sands, pp. 43-47.)
  
  
• Judith D. Sally and Paul J. Sally, Jr., TriMathlon: A Workout Beyond the School Curriculum, A K Peters, Natick, Massachusetts, 2003.
  
  
• Ian Stewart, Math Hysteria: Fun and Games with Mathematics, Oxford University Press, 2004.

  "Every puzzle enthusiast and amateur mathematician should own a copy."

• Michael Trott, The Mathematica Guidebook for Programming, Springer, 2004.
  
  
• Jean-Paul Delahaye, Les inattendus mathématiques: Art, casse-tête, paradoxes, superstitions, Belin, Pour la Science, 2004.
  
  
• David W. Henderson and Daina Taimina, Experiencing Geometry: Euclidean, Non-Euclidean, with History (3rd Edition of Experiencing Geometry), 2004.
  
  
• David Darling, The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes, Wiley, 2004.
  
  
• Leonard M. Wapner, The Pea and the Sun: A Mathematical Paradox, A K Peters, 2005.

  "Greg N. Frederickson's Dissections: PLane and Fancy is a classic collection of dissections, both two- and three-dimensional, some with curved boundaries."

• Claudi Alsina and Roger B. Nelson, Math Made Visual: Creating Images for Understanding Mathematics, Mathematical Association of America, 2006.
  
  
• Eli Maor, The Pythagorean Theorem: A 4,000-Year History, Princeton University Press, 2007.
  
  
• Erik D. Demaine and Joseph O'Rourke, Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Cambridge University Press, 2007.
  
  
• John Bryant and Chris Sangwin, How Round is Your Circle?: Where Engineering and Mathematics Meet, Princeton University Press, 2008.

Citations in unpublished papers:

• N. J. A. Sloane and Vinay A. Vaishampayan, "Generalizations of Schöbi's tetrahedral dissections".
  
  
• Prosenjit Bose, Evangelos Kranakis, Danny Krizanc, Anil Maheshwari, and Jurek Czyzowicz, "Cutting circles into equal area pieces".
  
  
• David Eppstein, "Hinged kite mirror dissection."
  
  
• D. G. Rogers, "Pythagoras framed, cut up by Liu Hui"
  
  
• N. J. A. Sloane, "Seven staggering sequences."
  
  
• Jorge Urrutia, "Jin Akiyama: A Modest Tribute to a Friend and His Geometry."
  
  
• Izidor Hafner, "Dissection of rhombic solids with octahedral symmetry to Archimedean solids, Part 1".
  
  
• Izidor Hafner, "Dissection of rhombic solids with octahedral symmetry to Archimedean solids, Part 2".
  
  
• Izidor Hafner, "Dissection of rhombicosidodecahedron, truncated icosahedron and truncated dodecahedron to rhombic solids".
  
  
• Izidor Hafner, "Dissection of truncated icosidodecahedron to a rhombic solid, second example".
  
  
• Izidor Hafner, "Solution of Conway-Radin-Sadun Problem, Summary of Results".
  
  
• Izidor Hafner and Tomislav Zitko, "A dissection of rhombic triacontahedron".
  
  
• David Singmaster, "Singmaster Cube and Puzzle Collection."
  
  
• Izidor Hafner and Tomislav Zitko, "A dissection of two rhombic dodecahedra of the second kind to a cube".
  
  
• Carla Figueira, Cristina Loureiro, Elsa Lobo, Maria Paul Rodrigues, and Pedro Almeida, "Visualização e geometria nos primeiros anos".

Citations in undetermined forums:

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Citations in catalogs:

• Mathematical Art in ICME-9 (9th International Congress on Mathematical Education, Makuhari, Japan, August 2000), The Research Institute of Educational Development, Tokai University, Tokyo, Japan.
  
  
• Transformable Solids Exhibition, J. Akiyama and G. Nakamura, September 2000.

Citations on exchange puzzles at G4G5, Atlanta, April 2002:

• "Pentagonia", Stan Isaacs and George Miller. (Solution 17.2)
  
  
• Untitled pentagram dissection, Gwen Roberts. (Figure 18.22)

Citations on puzzles offered for sale:

• "Stacked Squares", George Miller, August 2002 (at IPP 22). (Figure 4.24)
  
  
• "Stacked Triangles", George Miller, August 2003 (at IPP 23). (Solution 5.4)
  
  
• "Stacked Pentagons", George Miller, August 2003 (at IPP 23). (Figure 18.17)

Citations in education conference presentations

• "Pentomino", by Odette De Meulemeester, at 2002 Nationale Wiskunde Dagen, Noordwijkerhout, the Netherlands, February 1, 2002.