- 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.
- Erik D. Demaine, Martin L. Demaine, and Anna Lubiw,
"Folding and cutting paper,"
Discrete and Computational Geometry, Japanese Conference,
JCDCG'98, Lecture Notes in Computer Science, vol. 1763,
Tokai University, Tokyo, Japan, December 1998, pages 104-118.
- 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,"
Electronic Notes in Discrete Mathematics,
vol. 11 (July 2002), pp. 12-19,
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-Unfoldings 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,"
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,"
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,"
2006 ASEE Annual Conference & Exposition: Excellence in Education,
Chicago, Illinois, June 18-12, 2006.
- V.A. Vaishampayan and N.J.A. Sloane,
"Dissections and Constant Weight Codes,"
Information Theory Workshop, 2006. ITW '06 Chengdu. IEEE,
October 22-26, 2006, pp. 16-20.
- 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.
- Mary Rhollans, Jeffrey Willert, and Pamela Pierce,
"The circle-squaring problems dissected,"
Midstates Conference for Undergraduate Research in
Computer Science and Mathematics, John Carroll University, November 3, 2007, pp. 27-36.
- Gwen Roberts,
"Iso-areametrics in the classroom,"
G4G8: Gathering for Gardner,
Atlanta, GA, 2008, Exchange Book, Volume 1, pp. 276-279.
- 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,"
Proceedings of Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture,
Leeuwarden, the Netherlands, July 2008, pp. 251-258.
"During the 2007 Bridges Conference in Spain, Bridges Donostia,
Greg N. Frederickson of the Department of Computer Science, Purdue University,
presented a paper, titled Symmetry and Structure in Twist-Hinged Dissections
of Polygonal Rings and Polygonal Anti-Rings.
Frederickson showed a number of animations of different dissections including swing-, piano-,
and twist-hinged dissections. His recent presentation, and another one during the 2005 Bridges
Conference in Banff, Canada, motivated me to study this topic."
- Pedro Alegría Ezquerra,
"Construcciones geométricas sin regla ni compás,"
Geometrian Barrenko Ibilaldia: Un Paseo por la Geometría,
Ciclo de Conferencias, 2008, pages 59-78,
Editores: Raúl Ibánez Torres y Marta Macho Stadler,
Departamento de Matemáticas,
Facultad de Ciencia y Tecnología, UPV/EHU.
- Pamela Pierce, Jeffrey Willert, and Wenyuan Wu,
"A New Sequence Based on Translations-Only Dissections of Regular 2n-gons,"
Midstates Conference for Undergraduate Research in
Computer Science and Mathematics, College of Wooster, November 1, 2008.
- Elaine Krajenke Ellison,
"Mathematical Classroom Quilts,"
4th Biennial Symposium of the International Quilt Study Center & Museum:
The Global Quilt: Cultural Contexts,
Lincoln, Nebraska, April 2-4, 2009.
- Karl Schaffer,
"Harmonious dances,"
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture,
Banff, Canada, July 2009, pp. 63-68.
- Elaine Krajenke Ellison,
"Mathematical Classroom Quilts,"
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture,
Banff, Canada, July 2009, pp. 341-342.
- Hannah Roberts, Nancy Tinoza, Pamela Pierce, and John Ramsay,
"An Improved 2n-gon to Square Dissection Method"
Midstates Conference for Undergraduate Research in Computer Science and Mathematics,
Oberlin College, November 21, 2009.
- 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.
- Stuart Moskowitz,
"Making Puzzles Less Puzzling with Math While Making Math Less Puzzling with Puzzles,"
The California Mathematics Council, Community Colleges
15th Annual Recreational Mathematics Conference,
Stateline, Nevada, April 29-30, 2011.
- Greg Aloupis, Erik D. Demaine, Martin L. Demaine, Vida Dujmović, and John Iacono
"Meshes preserving minimum feature size",
Proceedings of the 14th Spanish Meeting on Computational Geometry (EGC 2011),
Alcalà de Henares, Spain, June 27-30, 2011, pp. 205-208.
- 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.
- Daniel Wyllie Lacerda Rodrigues, Maria Helena Wyllie L. Rodrigues, and Madalena Grimaldi de Carvalho,
"Brincando com a geometria,"
Graphica, Rio 2011.
- Yahan Zhou and Rui Wang,
"An Algorithm for Creating Geometric Dissection Puzzles,"
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture,
Towson, Maryland, July 2012, pp. 49-56.
- 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 (A survey),"
Geometric Science of Information - First International Conference,
Paris, France, August 20-30, 2013,
Lecture Notes in Computer Science,
Vol. 8085, 2013, pp. 215-223.
- Antonio Campello, Vinay A. Vaishampayan, and Sueli I. R. Costa,
Projections, Dissections and Bandwidth Expansion Mappings,
IEEE Information Theory Workshop, Seville, Spain, September 2013.
- Hans Walser,
Puzzle (pdf),
Puzzle (htm),
at the Forum für Begabtenförderung,
Pädagogische Hochschule Karlsruhe, March 27-29, 2014.
- Hans Walser,
Puzzle (pdf),
at the SLA-Tagung, in Bern, Switzerland, November 15, 2014.
- Erik D. Demaine and Martin L. Demaine,
Fun with fonts: algorithmic typography,
Proceedings of the 7th International Conference on Fun with Algorithms,
Lipari Island, Sicily, Italy, July 1-3, 2014.
- Vincent Kee, Nicolas Rojas, Mohan Rajesh Elara, and Ricardo Sosa,
Hinged-Tetro: A Self-reconfigurable module for nested reconfiguration,
2014 IEEE/ASME International Conference on
Advanced Intelligent Mechatronics (AIM),
Besancon, France, July8-11, 2014, pp. 1539-1546.
- Antonio Campello and Vinay Vaishampaya,
A Generalization of Montucla's
Rectangle-to-Rectangle Dissection to Higher Dimensions,
9th International Workshop on Coding and Cryptography 2015 WCC2015, April 2015, Paris, France. 2016,
in Pascale Charpin, Nicolas Sendrier, Jean-Pierre Tillich,
Proceedings of the 9th International Workshop on Coding and Cryptography 2015 WCC2015.
- Ken Wessen,
Bamboozlers:
Encouraging mathematical thinking through puzzles and paradox,
MANSW (Mathematical Asssociation of New South Wales) Annual Conference 2015,
September 2015.
- Jeffrey Bosboom, Erik D. Demaine, Martin L. Demaine, Jayson Lynch, Pasin Manurangsi, Mikhail Rudoy, and
Anak Yodpinyanee,
"Dissection with the Fewest Pieces is Hard, Even to Approximate",
Discrete and Computational Geometry and Graphs: 18th Japan Conference 2015,
2016, LNCS 9943, pp. 37-48.
- Andrew Sniderman,
"4-3 Dissection Tiling System",
Proceedings of Bridges Conference, 2018, pp. 31--38.
- 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.
- Andrew Jobbings,
"Dissections,"
Maths Challenges News, issue 9, February 2001.
- 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.
- Inmaculada Ferná:ndez Benito and Encarnaci&oacure;n Reyes Iglesias,
"Construcciones y disecciones del octógono,"
SUMA 38 (noviembre 2001) pp. 69-72.
- Luc Van den Broeck,
"Dissectie van de regelmatige twaalfhoek,"
Uitwiskeling, vol. 18, no. 2, maart 2002, pp. 6-9.
- 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.
- Heinz Klaus Strick,
"Entdeckungen mit Parkettierungen der Ebene,"
Praxis der Mathematik in der Schule: PM,
vol. 45, no. 6 (2003), pp. 274-276.
- Jin Akiyama and Gisaku Nakamura,
"Determination of all convex polygons which are chameleons--congruent Dudeney dissections of polygons--,"
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences,
vol. E86-A, No. 5, pp. 978-986.
- 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.
- Rob van Oord,
"Van vierkant naar gelijkzijdige driehoek,"
Euclides: maandblad voor de didactiek van de wiskunde,
vol. 80, no. 7 (May 2005), pp. 380-381 and 386.
"Ook Greg Frederickson schreef erover, en wel in zijn fraaie boek Dissections: Plane and Fancy."
-- which translates to --
"Greg Frederickson wrote about it, and that in his fine book Dissections: Plane and Fancy."
- 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.
- Igor Werner and Sarah Maor,
"Mathematical mode of thought in design education: a case study,"
Nexus Network Journal, vol. 8, no. 1 (2006), pp. 93-106.
- 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,"
"Hinged dissection of a `rhombic' solid to 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).
- Oscar Fernando Soto Agreda and Libardo Jácome,
"Cuadratura de polígonos por disección,"
Revista Sigma, vol. VIII (2008), pp. 1-14.
- Antonia Redondo Buitrago and Encarnación Reyes Iglesias,
"The geometry of the Cordovan polygons,"
Visual Mathematics,
vol. 10, no. 4 (2008).
- Jean-Pierre Friedelmeyer,
"Décomosabilité des polygones plans,"
L'Ouvert: Journal de l'APMEP d'Alsace et de l'IREM de Strasbourg,
no. 117 (Décembre 2008), pp. 15-30.
- Jean-Paul Delahaye,
"La géométrie du bricolage,"
Pour la Science,
no. 374 (Décembre 2008), pp. 100-105.
- N. J. A. Sloane and Vinay A. Vaishampayan,
"Generalizations of Schöbi's tetrahedral dissection,"
Discrete Computational Geometry,
vol. 41, no. 2 (2009) 232-248.
- Christian Richter,
"Cardinality estimates for piecewise congruences of convex polygons,"
Beiträge zur Algebra und Geometrie,
vol. 50, no. 2 (2009), pp. 389-403.
- Chao Tian, Vinay A. Vaishampayan, and N. J. A. Sloane,
"A coding algorithm for constant weight vectors: a geometric approach based on dissections,"
IEEE Transactions on Information Theory,
vol. 55, no. 3 (2009), 1051-1060.
- Edo Timmermans,
"Hidden hole dissections,"
Cubism For Fun, no. 79 (July 2009), pp. 21-24.
- Pamela Pierce, John Ramsay, Hannah Roberts, Nancy Tinoza, Jeffrey Willert, and Wenyuan Wu,
"The circle-squaring problem decomposed,"
Math Horizons,
November 2009, pp. 19-21, 33.
- Itoh, Jin-ichi,
"Research in the Department of Mathematics Education Research: from the perspective of intuitive geometry (math skills needed for research on mathematics teacher formation)",
pp. 157-176,
in Research Institute for Mathematical Sciences (RIMS) Kokyuroku,
Kyoto University,
no. 1657, Yukihiro Kanie,
"Research on cultivation of mathematical abilities desirable for mathematics teachers", 2009.
- Eugène Neuzil and Suzanne Neuzil,
"Tiling the plane with 1½-iamonds,"
Cubism For Fun, no. 81 (March 2010), pp. 10-15.
- Ennio Ludovico Chiggio
"11 - Greg Frederickson, Dissezioni e Manipolazione,"
Insight, Monografie su temi cognitivo percettivi, numero 17, marzo 2010,
page 12.
- 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.
- N. A. Fleck, V. S. Deshpande, and M. F. Ashby,
"Micro-architectured materials: past, present and future,"
Proceedings of the Royal Society A: Mathematical, Physical, & Engineering Sciences,
vol. 466, No. 2121. (September 8, 2010), pp. 2495-2516.
- Klaus Volkert,
"Le tout est-il toujours plus grand que la partie ?,"
Revue d'histoire des mathématiques,
vol. 16, issue 2 (2010), pp. 287-306.
- George Nash and Adam Stanford,
"Recording images old and new on the Calderstones in Liverpool,"
Journal of Merseyside Archaeological Society,
Vol. 13, pp. 51-67, 2010.
- Grupo Alquerque de Sevilla
(Constituido por Juan Antonio Hans Martin,
José Muñoz Santonja,
Antonio Fernández-Aliseda Redondo),
"Puzles de cuadraturas",
Suma
No. 66 (Febrero 2011), pp. 43-46.
- Andrew K. Jobbings,
"Proofs by dissection of a dodecagon,"
Mathematical Gazette,
vol. 95, no. 532 (March 2011), pp. 107-110.
- Tom M. Apostol and Mamikon A. Mnatsakanian,
"Complete dissections: converting regions and their boundaries,"
American Mathematical Monthly,
vol. 118, no. 9 (November 2011), pp. 789-798.
- Luiz Carlos Guimarães, João Bosco Pitombeira, and Gert Schubring,
"Manoel de Campos, um Precursor",
Llull, Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas,
vol. 34, no. 74 (2011), pp. 315-340.
- 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."
- Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine,
Martin L. Demaine, and Scott Duke Kominers,
"Hinged dissections exist,"
Discrete & Computational Geometry,
vol. 47, no. 1 (2012), pp. 150-186.
- Larry Hoehn,
"The isosceles trapezoid and its dissecting similar triangles,"
Forum Geometricorum,
vol. 12 (2012), pp. 29-38.
- Jean Pierre Friedelmeyer,
"Puzzles et équidécomposibilité des polygones plans,"
Le Bulletin Vert,
Number 487, 4 juillet 2012.
- Andrew Jobbings,
"Dissecting polyominoes,"
Mathematics in School,
vol. 2, no. 2 (March 2013), pp. 30-33.
"No discussion of dissections would be complete without mentioning Greg Frederickson,
whose two books and associated web pages are very thorough."
- Kamran Sedig and Paul Parsons,
"Interaction design for complex cognitive activities with visual representations:
a pattern-based approach,"
AIS Transactions on Human-Computer Interaction,
vol. 5, issue 2 (June 2013), pp. 84-133.
- Jin Akiyama and Hyunwoo Seong,
"A criterion for a pair of convex polygons to be reversible,"
Graphs and Combinatorics,
online, February 26, 2015.
- Antonio Campello and Vinay A. Vaishampayan,
"A generalization of Montucla's rectangle-to-rectangle dissection to higher dimensions,"
arXiv.org/pdf/1506.04118.pdf, June 12, 2015.
- Ning Tan, Nicolas Rojas, Rajesh Elara Mohan, Vincent Kee and Ricardo Sosa,
"Nested Reconfigurable Robots: Theory, Design, and Realization,"
International Journal of Advanced Robotic Systems,
July 31, 2015.
- Jens Carstensen,
"Den regulaere femkant og kvadratet,"
LMFK-bladet, 2015, Number 4, page 17.
- 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.
- Erik D. Demaine and Martin L. Demaine,
"Fun with fonts: algorithmic typography,"
Theoretical Computer Science,
vol. 586, pp. 111-119.
- Ratinan Boonklurb and Eakasit Sanguanlorsit,
"(1+n)
sequential dissection of a rectangle into
m-GONS, m in {3, 5, 6, 7, 8},"
Discrete Mathematics, Algorithms and Applications,
vol. 8, issue 3, September 2016.
- Norbert Treitz,
"Die Fliesen des Pythagoras,"
Spektrum.de, Treitz-Rätsel/Mathematik/362,
January 17, 2017.
- Jin Akiyama and Kiyoko Matsunaga,
"Generalization of haberdasher's puzzle,"
Discrete and Computational Geometry,
vol. 58, issue 1 (July 2017), pp. 30-50.
- Jas Paul Singh,
"Concept of Pythagorean Theorem's New Proof and Pythagorean's Triple With Ancient Vedic Investigation,"
International Journal of Scientific Research and Education,
vol. 5, issue 4 (April 2017), pages 6326-6338.
- Norbert Treitz,
"Zwei Achtecke aus einem,"
Spektrum.de, Treitz-Rätsel/Mathematik/442,
April 25, 2017. (See "Lösung".)
- Peng Song, Chi-Wing Fu, Yueming Jin, Hongfei Xu, Ligang Liu, Pheng-Ann Heng, and Daniel Cohen-Or,
"Reconfigurable interlocking furniture,"
ACM Transactions on Graphics,
vol. 36, no. 4, article 174, November 2017.
- Noah Duncan, Lap-Fai Yu, Sai-Kit Yeung, Demetri Terzopoulos,
"Approximate Dissections,"
ACM Transactions on Graphics,
vol. 36, no. 6, article 182, November 2017.
- Julia Martin and Elizabeth Wilcox,
"Rules for folding polyminoes from one level to two levels,"
Recreational Mathematics Magazine,
Volume 4, Issue 8, Pages 47-58, 2017.
- Ilya Sinitsky, Moshe Stupel, and Marina Sinitsky,
"Pizza again? On the division of polygons into sections with a common origin,"
International Journal of Mathematical Education in Science and Technology,
volume 49 (2018), issue 2, pages 281-293.
- Shuhua Li, Ali Mahdavi-Amiri, Ruizhen Hu, Han Liu, Changqing Zou, Oliver van Kaick, Xuiping Liu, Hui Huang, and Hao Zhang,
"Construction and Fabrication of Reversible Shape Transforms,"
ACM Transactions on Graphics,
vol. 37, No. 6,Article 190.
- Vincent J. Matsko,
"Lattice dissections: plainer and less fancy,"
Mathematical Gazette,
vol. 102, Issue 555 (November 2018), pp. 454-459.
"The title of this Article pays homage to Greg Frederickson's widely known book on geometrical dissections, Dissections: Plane & Fancy [1]. I enjoyed the book so much, I built an honours geometry course around it - a terminal mathematics course for honours students needing a mathematics credit for their general education requirements. Not only is there significant geometry involved, but there is a fair amount of number theory relevant to finding infinite families of dissections of, for example, m squares to n squares.
However, although many dissections from one regular polygon to another are quite elegant, the mathematics involved in specifying the dissections is often formidable."
- Keke Tang, Peng Song, Xiaofei Wang, Bailin Deng, Chi-Wing Fu, and Ligang Liu,
"Computational Design of Steady 3D Dissection Puzzles,"
Computer Graphics Forum,
vol. 38, Issue 2 (May 2019), pp. 291-303.
- Julia Greer and Vikram S. Deshpande,
"Three-dimensional architected materials and structures: Design, fabrication, and mechanical behavior",
Three-Dimensional Architected Materials and Structures, Volume 44, Issue 10,
(October 2019), pp. 750-757.
- André Pressiat,
"Grandeurs et mesures: evolution des organisations mathematiques de reference et problemes de transposition,"
in Actes de la 11e Ecole d'Eté de Didactique des Mathématiques,
by J.-L. Dorier, M. Artaud, M. Artigue, R. Berthelot, and R. Floris,
Corps - 21-30 August 2001.
- Andy Liu and Bill Sands,
"Three problems," in
Puzzlers' Tribute: A Feast for the Mind,
ed. by David Wolfe and Tom Rodgers,
A K Peters, 2002, pages 43-47.
- 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.
- Jean-Paul Delahaye,
"Dissections
géométriques," Encyclopédie Universalis.
"Dissection: Plane and Fancy est un recueil de découpages contenant des informations que l'auteur a recherchées patiemment dans toutes sortes de publications, pour la plupart très rares. Les illustrations font découvrir à chaque page des constructions astucieuses et fascinantes. Ce livre prouve que l'ingéniosité des amateurs de récréations mathématiques peut engendrer des merveilles esthétiques."
which is translated as:
"Dissection: Plane and Fancy is a collection of dissections containing information that the author has patiently searched for in all sorts of publications, most of them very rare.
The illustrations reveal on every page astute and fascinating constructions. This book proves that the ingenuity of lovers of mathematical recreations can generate aesthetic wonders."
- Neil J. A. Sloane,
"Seven staggering sequences," in
Homage to a Pied Piper,
ed. by Ed Pegg, Jr., Alan H. Schoen, and Tom Rodgers,
A K Peters: Wellesley, MA, 2009, pages 93-110.
- Serhiy Grabarchuk,
"The two ovals-to-table story," in
Homage to a Pied Piper,
ed. by Ed Pegg, Jr., Alan H. Schoen, and Tom Rodgers,
A K Peters: Wellesley, MA, 2009, pages 175-180.
- 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."
- Jean-Paul Delahaye,
"Dissections géométriques,"
Encyclopaedia Universalis,
consulté le juin 2015.
- Joseph O'Rourke, Subhash Suri, and Csaba D. To'th,
chapter 30, "Polygons", in
Handbook of Discrete and Computational Geometry,
third edition,
edited by Jacob E. Goodman, Joseph O'Rourke, and Csaba D. To'th,
CRC Press LLC, 2016.
- Alpay Ozdural,
"Preliminaries," in
The Arts of Ornamental Geometry:
A Persian Compendium on Similar and Complementary Interlocking Figures,
edited by Gu"lru Necipoglu,
Leiden; Boston: Brill, 2017.
- 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.
"This book is a collection of interesting dissection puzzles,
old and new, and is an instructive manual on the art and science of geometric dissections"
- Karl Shaffer, Erik Stern, and Scott Kim,
Math Dance with Dr. Schaffer and Mr. Stern,
MoveSpeakSpin, Santa Cruz, CA, 2001.
(See chapter 11.)
"The best book on the mathematics of dissections.
Fascinating, sophisticated yet accessible, with many pictures."
- Ivan Moscovich,
The Big Bokk of Brain Games: 1000 PlayThinks of Art, Mathematics \& Science,
Workman Publishing, New York, 2001.
- Judith D. Sally and Paul J. Sally, Jr.,
TriMathlon: A Workout Beyond the School Curriculum,
A K Peters, Natick, Massachusetts, 2003.
- Harold R. Jacobs,
Geometry: Seeing, Doing, Understanding,
third edition,
Macmillan, 2003.
- Ian Stewart,
Math Hysteria: Fun and Games with Mathematics,
Oxford University Press, 2004.
"A beautiful book by Greg Frederickson, an expert dissector,
has revealed some tricks of the trade."
"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 Wilson Henderson and Daina Taimina,
Experiencing Geometry: Euclidean, Non-Euclidean, with History,
(3rd Edition of Experiencing Geometry),
Pearson/Prentice Hall, 2005.
There is a surprisingly rich history associated with recreational dissections.
- David Darling,
The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes,
Wiley, 2004.
- Doug French,
Teaching and learning geometry: issues and methods in mathematical education,
Continuum, 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."
- Ian Stewart,
Locos por las matemáticas (Mad about Mathematics),
Oxford University Press, 2005.
"La rivalidad entre los grandes maestros de acertijos de Gran Bretaña y Norteamérica establece el
escenario para una recreación geométrica clásica: las disecciones.
¿Puedo usted cortar un hexágono regular y reordenar las piezas para formar un octógono
regular?
¿O convertir un pentáculo en un cuadrado?
Un bello libro de Greg Frederickson, un experto disector,
ha revelado alguno de los trucos del oficio."
"Todo entusiasta de los rompecabezas y matemático aficionado debería tener un ejemplar."
- Ian Stewart,
Mania de matémática 1: Diversão e jogos lógica e matemática
(Mathematics mania: Fun and Games with Mathematics),
Jorge Zahar, 2005.
- ??,
Le Geometrie Della Certosa,
Centro di Documentazione e Resorse Educative Assessorato Publica Istruzione e Sport Provincia di Pisa, 2005.
- Claudi Alsina and Roger B. Nelsen,
Math Made Visual: Creating Images for Understanding Mathematics,
Mathematical Association of America, 2006.
"Readers interested in plane dissections and their mathematical properties will find the
books by G. Frederickson [Frederickson, 1997 and 2002] of interest."
- 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.
"Perhaps a more interesting problem would be to find the minimum number of pieces needed for a dissection between two polygonal shapes. This problem appears to be very difficult and is currently unsolved in the general case. An extensive treatment of the history and mathematics of dissections is given in Frederickson (1997), with special hinged dissections covered in Frederickson (2002).."
- Robin Hartshorne, (Japanese translation of)
Geometry: Euclid and Beyond,
Springer, 2007.
- Martin Gardner,
Origami, Eleusis, and the Soma Cube: Martin Gardner's Mathematical Diversions,
(The New Martin Gardner Mathematical Library),
Cambridge University Press, 2008.
- Jean-Paul Delahaye,
Au pays des paradoxes,
Belin, 2008.
- Anker Tiedemann,
Pythagoras' Firkant:
Matemagi for talfreaks
(Pythagoras's Square: Mathemagic for Number Freaks),
Samsø, Denmark: Danmarks Matematiklærerforenings forlag Matematik, 2008.
- Catherine A. Gorini,
The Facts on File Geometry Handbook,
revised edition,
Infobase Publishing, 2009.
- Claudi Alsina and Roger B. Nelsen,
Charming Proofs: A Journey into Elegant Mathematics,
Dolciani Mathematical Expositions #42, Mathematical Association of America, 2010.
- Brian J. McCartin,
Mysteries of the
Equilateral Triangle,
Hikari Ltd, 2010.
- Satyan L. Devadoss and Joseph O'Rourke,
Discrete and Computational Geometry,
Princeton University Press, 2011.
"A delightfully readable book on dissections of polygons and polyhedra."
- Claudi Alsina and Roger B. Nelsen,
Icons of Mathematics: An Exploration of Twenty Key Images,
Dolciani Mathematical Expositions #45, Mathematical Association of America, 2011.
- Yan Kow Cheong,
CHRISTmaths - A Creative Problem Solving Math Book,
Singapore: MathPlus Pubs., 2011.
- Ivan Moscovich,
1000 Denkspiele - aus Wissenschaft, Natur & Technik,
H. F. Ullmann, 2012.
- Hans. G. Ehrbar,
Annotations to Karl Marx's `Capital' Class Edition,
August 20, 2014.
( Karl Marx !! - See page 41.)
- Tom M. Apostol and Mamikon A. Mnatsakanian,
New Horizons in Geometry,
Mathematical Association of America,
Dolciani Mathematical Expositions #47, 2012.
- Edward J. Barbeau,
More Fallacies, Flaws & Flimflam,
Mathematical Association of America,
Spectrum, 2013.
"[Dissections: Plane and Fancy] provides an excellent comprehensive survey
of the art and science of dissecting polygons and rearranging the pieces to form
other polygons or sets of polygons."
- Carsten Müller,
50 Jahre Spezi in Jena: Ein mathematischer Blick auf eine ganz SPEZIelle Schule,
Books on Demand GmbH. Norderstedt, 2013.
- Robert Reid, Michael Dowle, and Anthony Steed,
The Gentle Art of Filling Space,
2013.
- 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.
- David W. Henderson,
Differential Geometry: A Geometric Introduction,
3rd edition, 2013 (first available in 2014).
- Martin Gardner,
Knots and Borromean Rings, Rep-Tiles, and Eight Queens,
Mathematical Association of America, 2014.
- Hans Walser,
Symmetrie in Raum und Zeit,
B. G. Teubner: Leipzig, 2014.
- Hans Walser,
EAGLE-MALBUCH Formen und Farben, Geometrische Figuren zum Ausmalen,
Eagle 084, Leipzig 2015.
- Jin Akiyama and Kiyoko Matsunaga,
Treks into Intuitive Geometry: The World of Polygons and Polyhedra,
Springer Japan: 2015.
- Jay Friedenberg,
Tattoo Patterns From Around the World,
2015.
- Hans Walser,
EAGLE-MALBUCH Zöpfe-Zerlegungen-Zehnecke: Geometrische Figuren zum Ausmalen,
Eagle 094, Leipzig 2016.
- Donald E. Knuth,
The Art of Computer Programming, VOLUME 4, Pre-fascicle 9B,
"A Potpourri of Puzzles",
February 16, 2016.
- Ilya Sinitsky and Bat-Sheva Ilany,
Change and Invariance: A textbook on Algebraic Insight into Numbers and Shapes,
Sense Publishers: Rotterdam/Boston/Taipei: 2016.
- Heinz Klaus Strick,
Mathematik ist Schön,
Springer-Verlag, Berlin: 2017, pp. 313-350.
- Harold R. Jacobs,
Answers to Exercises for Geometry: Seeing, Doing, Understanding (Solutions Manual),
Master Books: 2017.
"Greg N. Frederickson, the author of Dissections, Plane and Fancy (Cambridge University Press, ), is a professor of computer science at Purdue University. His book is the definitive work on the amazing topic of geometric dissections and should be on the bookshelf of every geometry classroom."
- Andy Liu,
"Area and Dissection,"
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.
See references on pages 35, 38, 66, 76.
Also see (my) drawing of the figure on page 76 at https://www.cs.purdue.edu/homes/gnf/book/Booknews/ch20.html .
On page 69, we see Gavin Theobald's dissections of a heptagon to a square and a decagon to a square. These dissections were explained already in Dissections: Plane and Fancy on page 129
and on pages 133-134, respectively.
- "Maths Jeux Culture Express", CIJM (Comité International des Jeux Mathématiques), Paris, France, Mai 2019.
See the bibliography on page 97.
On page 23, we see Gavin Theobald's dissections of a heptagon to a square and a decagon to a square. These dissections were explained already in Dissections Plane and Fancy on page 129 and on pages 133-134, respectively.
- Mostafa S. A. Elsayed,
"Multiscale
Mechanics and Structural Design of Periodic Cellular Materials",
Department of Mechanical Engineering, McGill University, Montreal, 2010.
- Bruno Salgado Cole,
"Poligonos Estrelados Regulares",
Departamento de Matemática,
Universidade Federal Rural de Pernambuco, Recife, 2013.
- Antonio Carlos de Andrade Campello Junior,
"Reticulados,
Projeções e Aplicações à Teoria da Informação,"
Universidade Estadual de Campinas, 2014.
- Shu-Yuan Chan,
"Making transformable 3D models",
Airiti Library, (Taiwan?) 2014.
- Noah Duncan,
"Zoomorphic Design, Interchangeable Components, and Approximate Dissections:
Three New Computational Tools for Open-Ended Geometric Design",
Ph.D. dissertation, University of California, Los Angeles, 2017.
- Lucia Gecchelin and Francesco Decio,
"Geometria tra le pieghe,"
Università Cattolica di Brescia, 15 gennaio 2010.
- Lalit Jain,
"Area 'n Scissors style,"
Bay Area Circle for Teachers, Summer 2010.
- Christian Blanvillain and János Pach,
"De l'art de découper un carré,"
EPFL, May 2010.
- Hans Walser,
"Puzzles: Mathematik und Schule,"
Mathematisches Institut der Johannes Gutenberg Universität;t Mainz, December 16, 2015.
- Vincent Borrelli,
"Le paradoxe de Hausdorff,"
Université Ouverte-Université Lyon 1.
- Vincent Borrelli ??,
"Faire des maths avec des puzzles,"
En marge de la nouvelle exposition (sept 2016-juin 2017), Puzzles.
- Jadwiga Sobkowska and Ewa Siwczuk,
"Projektowanie celtyckich
wzorów dekoracyjnych"
- Yahan Zhou and Rui Wang,
"A Computational Algorithm for Creating Geometric Dissection Puzzles"
- Prosenjit Bose, Evangelos Kranakis, Danny Krizanc, Anil Maheshwari, and Jurek Czyzowicz,
"Cutting circles into equal area pieces".
- David Eppstein,
"Hinged kite mirror dissection."
- 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,
"Hinged dissection of a `rhombic' solid to truncated icosidodecahedron".
- Izidor Hafner and Tomislav Zitko,
"A dissection of rhombic triacontahedron".
- 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".
Programa de Formação ContÃnua em Matemática para Professores dos 1° e 2° Ciclos, June 2007
- Christian Richter,
"Cardinality estimates for piecewise congruences of convex polygons (extensive version)".
- Alfinio Flores Penafiel,
"Geometría con bisagras".
- Feng-Tse Chuang and Keh-Ming Lu,
"A Study of Triblock Origami Spheroid".
- Mircea Pitici,
"Geometric Dissections",
Cornell University, 2008.
- Giuseppe Dattoli, Elio Sabia, and Mario Del Franco,
"Triangoli e la
Notazione di Conway",
2009.
- Ismail Kailani and Komala Kumarasamy,
"Penerapan Unsur Sejarah Dalam Pengajaran Dan Pembelajaran Matematik Bagi Topik Teorem Pythagoras",
Universiti Teknologi Malaysia, 2011.
- J.H. Duque Navarro and O.E. Maca Cortés,
Análisis histórico y epistemológico
de la noción de cuadratura en los libros I y II de los elementos de Ecluides y su incidencia en el concepto de
área en la educación básica,
Universidad del Valle, Colombia,
Oct. 26, 2012.
- N. J. A. Sloane,
Recent and Noteworthy Sequences in the OEIS,
distributed at the AMS/MAA Joint Mathematics Meetings in San Diego, Jan. 2013.
- David W. Henderson,
"Annotated Bibliography",
2013.
"This book is a collection of interesting dissection puzzles, old and new, and is an instructive manual on the art and science of geometric dissections."
- Serge Perrine,
"Trigonométrie pythagoricienne",
Campus de Metz de Supélec, France, July 2014.
- Jeffrey Bosboom, Erik D. Demaine, Martin L. Demaine, Jayson Lynch, Pasin Manurangsi, Mikhail Rudoy, and
Anak Yodpinyanee,
"Dissection with the Fewest Pieces is Hard, Even to Approximate",
arXiv Dec 2015.
- Jeffrey Bosboom, Erik D. Demaine, Martin L. Demaine, Jayson Lynch, Pasin Manurangsi, Mikhail Rudoy, and
Anak Yodpinyanee,
"k
-Piece Dissection is NP-hard",
Japan Conference on Discrete Computational and Combinatorial Geometry, pp. 37-48, 2015.
- Julia Martin and Elizabeth Wilcox,
"Rules for folding polyminoes from one level to two levels", Jan. 2017.
- Robert Reid and Anthony Steed,
"Bowties: A Novel Class of Space Filling Polyhedron",
2003.
"then Greg Frederickson hooked me onto his book - Geometric Dissections, Plane and Fancy"
- E. Paolini,
"Dehn e Banach-Tarski: opposti paradossi" 26 luglio 2016.
"then Greg Frederickson hooked me onto his book - Geometric Dissections, Plane and Fancy"
- Arpad Kurusa, and Langi Zsolt, and Victor Vigh,
"Tiling a circular disc with congruent pieces", arXiv: 1910.03836v1, 9 Oct 2019.
- Christian Blanvillain,
"Quadratum Cubicum".
"For more information on the fabulous history of this problem, and on dissections in general, we refer the reader to the bibliography's links and the three excellent books by Prof. Greg N. Frederickson, that will present to you the puzzle solutions throughout the ages and much more!"
- 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.
- Greek Cross to Square Dissection
Elaine Krajenke Ellison,
2014 Bridges Conference Mathematical Art Galleries,
July 2014.
- Four to One,
Submissions for Bridges 2014 Art Exhibition, Vincent J. Matsko, 2014.
- "Pentagonia," Stan Isaacs and George Miller.
(Solution 17.2)
- Untitled pentagram dissection, Gwen Roberts.
(Figure 18.22)
- "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)
- "Puzzle Booklet - Square to Triangle," Péter Gál, sold by Puzzle Master. (Figure 12.2)
- "Puzzle Booklet - a^{2} + b^{2} = c^{2}," Péter Gál, sold by Puzzle Master. (Figure 4.2)
- "Puzzle Booklet - a^{2} + b^{2} + c^{2} = d^{2}," Péter Gál, sold by Puzzle Master. (Solution 4.1)
- "Puzzle Booklet - Square to Hexagon," Péter Gál, sold by Puzzle Master. (Figure 11.2)
- "Puzzle Booklet - Cross to Triangle," Péter Gál, sold by Puzzle Master. (Figure 12.16)
- "Les Puzzles de l'extrême," by Vincent Borrelli,
at Conférence défis `a l'impossible en mathématiques,
INSA de Lyon, Amphithéâtre Emilie du Châtelet,
Bibliothèque Marie Curie,
31 avenue Jean Capell, 69621 Villeurbanne, November 18, 2013, 7:00-8:00pm.
- "Pentomino," by Odette De Meulemeester,
at 2002 Nationale Wiskunde Dagen,
Noordwijkerhout, the Netherlands, February 1, 2002.
Last updated June 7, 2019.