Hardcopy books and articles with citations to
Piano-Hinged Dissections: Time to Fold!

Citations in conference papers:

• Daniel Wyllie Lacerda Rodrigues, "Detalhes acera da dissecçã do triângulo no quadrado" V Colóquio de História e Tecnologia no Ensino da Matemática, Recife, Brasil, de 26 a 30 de julho de 2010.
  
  
• Jin Akiyama, Ikuro Sato and Hyunwoo Seong, "On reversibility among parallelohedra," in XIV Spanish Meeting on Computational Geometry, EGC 2011, Dedicated to Ferran Hurtado on the Occasion of His 60th Birthday, Alcalá de Henares, Spain, June 27-30, 2011, Revised Selected Papers, Lecture Notes in Computer Science, 2012, Volume 7579, pp. 14-28.
  
  
• Zachary Abel, Erik D. Demaine, Martin L. Demaine, Takashi Horiyama, and Ryuhei Uehara, "Computational complexity of piano-hinged dissections", in 29th European Workshop on Computational Geometry (EuroCG 2013), Braunschweig, Germany, March 17-20, 2013, pages 147-150.
  
  
• Jin Akiyama and Hyunwoo Seong, "Operators which preserve reversibility," in Computational Geometry and Graphs, Thailand-Japan Joint Conferenece, TJJCCGG 2012, Springer Lecture Notes in Computer Science 8296, Bangkok, Thailand, December 6-8, 2012, pp. 1-19.
  
  
• Jin Akiyama and Hyunwoo Seong, "On a Mechanism of Reversibilities among Polygons and Polyhedra," in The 5th International Symposium on Graph Theory and Combinatorial Algorithms (GTCA2013), Tongliao, Inner Mongolia, China, July 12-14, 2013.
  
  
• Jin Akiyama, Ikuro Sato and Hyunwoo Seong, "Tessellabilities, reversibilities, and decomposabilities of polytopes," Geometric Science of Information - First International Conference, Paris, France, August 20-30, 2013, Lecture Notes in Computer Science, Vol. 8085, 2013, pp. 215-223.
  
  
• Andrew Sniderman, "4-3 Dissection Tiling System", Proceedings of Bridges Conference, 2018, pp. 31--38.
  
  

Citations in journal papers:

• Jean-Paul Delahaye, "La géométrie du bricolage," Pour la Science, no. 374 (Décembre 2008), pp. 100-105.
  
  
• Christian Blanvillain and János Pach, "Square trisection, dissection of a square in three congruent partitions," Bulletin d'Informatique Approfondie et Applications, no. 86 (Juin 2010), pp. 7-17.
  
  
• Matthew Kirby and Ronald Umble, "Edge tessellations and the stamp folding problem," Mathematics Magazine, vol. 84 (2011), pp. 283-289.
  
  
• Tiina Hohn and Andy Liu, "Polyomino dissections," College Mathematics Journal, vol. 43, no. 1 (January 2012), pp. 88-94.

  "The torch has now been passed on to Greg Frederickson, with three outstanding books so far."

• Zachary Abel, Erik D. Demaine, Martin L. Demaine, Takashi Horiyama, and Ryuhei Uehara, "Computational complexity of piano-hinged dissections", IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences, vol. E97-A, no. 6 (2014), pp. 1206-1212.
  
  
• Joel Haddley, "Infinite families of monohedral disk tilings" Semua Program Studi - EJOURNAL, Universitas Narotama, 2014.
  
  
• Jin Akiyama and Hyunwoo Seong, "A criterion for a pair of convex polygons to be reversible," Graphs and Combinatorics, Volume 31, issue 2 (March 2015), pages 347-360.
  
  
• Yi-Jheng Huang, Shu-Yuan Chan, Wen-Chieh Lin, and Shan-Yu Chuang, Making and animating transformable 3D models, Computers & Graphics, vol. 54, February 2016, pages 127-134.
  
  
• Élisabeth Busser and Michel Criton, "Découpages: la trilogie de Greg Frederickson," tangente: l'aventura mathétique, Hors série no. 64 (Septembre 2017), p. 19.
  
  

Citations in books:

• Erik D. Demaine and Joseph O'Rourke, Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Cambridge University Press, 2007.
  
  
• Martin Gardner, Origami, Eleusis, and the Soma Cube: Martin Gardner's Mathematical Diversions, (The New Martin Gardner Mathematical Library), Cambridge University Press, 2008.

  "Greg Frederickson, the world's top expert on geometric dissections, has written an entire book titled Piano-Hinged Dissections: Time to Fold! (A K Peters, 2006). It is an amazing compilation of discoveries in which pieces are hinged together so one polygon can be transformed to the other, like Dudeney's lovely triangle to square, simply by moving the pieces."

• Anker Tiedemann, Pythagoras' Firkant: Matemagi for talfreaks (Pythagoras's Square: Mathemagic for Number Freaks), Samsø, Denmark: Danmarks Matematiklærerforenings forlag Matematik, 2008.

  "Greg Fredericksons bøger er propfulde af figurer, og nogle af dem er meget indviklede. Selv synes jeg bedst om de mere enkle, som man kunne forestille sig brugt til et eller andet praktisk. Men de er nu alle sammen ret fantastiske som fx den pianohængslede figur, der ses på fotografiet til hørje. Den består af tyve stykker, som her er skåret ud af 5 mm tyk massiv kirsebærfinér."

  (roughly translated as the following, where the figure on the right contained a sequence of photos similar to the sequence on the cover of my book:)

  "Greg Frederickson's books are chock full of figures, and some of them are very complicated. Although I prefer the simpler, as you might imagine, used for something practical. However, they are now all pretty amazing, such as the piano-hinged figure seen in the photograph to the right. It consists of twenty pieces, which here are cut from 5mm thick solid cherry veneer."

• Satyan L. Devadoss and Joseph O'Rourke, Discrete and Computational Geometry, Princeton University Press, 2011.
  
  
• Martin Gardner, Knots and Borromean Rings, Rep-Tiles, and Eight Queens, Mathematical Association of America, 2014.
  
  
• I. E. Leonard, J. E. Lewis, A. C. F. Liu, and G. W. Tokarsky, Classical Geometry: Euclidean, Transformational, Inversive, and Projective, John Wiley & Sons, 2014.
  
  
• Jin Akiyama and Kiyoko Matsunaga, Treks into Intuitive Geometry: The World of Polygons and Polyhedra, Springer Japan: 2015.
  
  
• Andy Liu, "Area and Dissection," in S.M.A.R.T. Circle Minicourses, pp. 3-28, Springer: 2018.
  
  
• "Découpages & pavages, Entre art et géométrie," Tangente Hors-série no. 64. Éditions POLE, Paris, France, Septembre 2018.

  (References my book Piano-Hinged Dissections only as "2006" on page 44, but gives the title and other details later on page 67.
  
  On page 44 it shows, without attribution, my figures 4.1, 4.2, and 4.3 from Piano-Hinged Dissections.
  
  On page 40, there is a photograph of a table based on my hinged dissection of an octagon to a square, which is not explained in the text. Bernard Lalanne was an aerospace engineer based in the south of France, who sent me that photo and also one of the square top in October 2003. My webpage describing Bernard's table has been at https://www.cs.purdue.edu/homes/gnf/book2/Booknews2/lalanne.html since October 2003.

• "Maths Jeux Culture Express", CIJM (Comité International des Jeux Mathématiques), Paris, France, Mai 2019.

  See the bibliography on page 97.

Citations in book chapters:

• Tiina Hohn and Andy Liu, "Polyomino dissections," in Martin Gardner in the Twenty-First Century, ed. Michael Henle and Brian Hopkins, Mathematical Association of America, Washington, DC, 2012, pp. 135-141.

  "The torch has now been passed on to Greg Frederickson, with three outstanding books so far."

Citations in powerpoint presentations

• Ron Umble, "Stamp folding puzzles: a delightful excursion in recreational geometry," Millersville University of Pennsylvania, April 7, 2011.
  
  

Citations in unpublished papers:

• Mircea Pitici, "Geometric Dissections", Cornell University, 2008.
  
  
• Yahan Zhou and Rui Wang, "A computational algorithm for creating geometric dissection puzzles"
  
  
• Jin Akiyama and Hyunwoo Seong, "Pentadra, 2014."
  
  
• Joel Anthony Haddley and Stephen Worsley, "Infinite families of monohedral disk tilings", arXiv:1512.03794v2, April 28, 2016.
  
  

Citations of "A New Wrinkle on an Old Folding Problem":

• Sergio Alberto Pecanka, "Resolução de porblemas geométricos através de polinômios," Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Mathemáticas, Departamento de Mathemática, Florianópolis, Junho de 2009.
  
  
• Brian Winkel, "Thinking outside the box . . . inside the box," International Journal of Mathematical Education in Science and Technology, Volume 43, Issue 5 (2012), pp. 663-668.
  
  
• Supawan Lertskrai King, "Enhance calculus concepts with writing," 22nd Annual Conference, Association of Faculties for Advancement of Community College Teaching, January 5-6, 2012, Montgomery College - Rockville Campus, Rockville, Maryland.
  
  
• Greg Convertito, "Three factor polynomials, a Diophantine equation, and building a bigger box," Trinity College, Hartford, CT, 2015.
  
  

Citations of "Folding Polyominoes from One Level to Two":

• Jakob Daum (George Fox University), "Folding Polyominoes from One Level to Two," Student poster at the Annual Meeting of the Pacific Northwest Section of the MAA, University of Portland, Portland, Oregon, April 21, 2012.