Origami Geometry and Education
These articles deal with pure geometrical aspects of folding a piece of
paper. Since so many of these articles are also about using origami as
an educational tool, I'm listing both of these categories together.
- Bruckheimer, M. and R. Hershkowitz, Constructing the parabola
without calculus, Mathematics Teacher, Vol. 70, No. 8 (Nov. 1997),
658-662.
- Faulkner, J., Paper folding as a technique in visualizing a certain
class of transformations, Mathematics Teacher, Vol. 68. No. 5 (May
1975), 376-377.
- Fehlen, J., Paper folds and proofs, Mathematics Teacher,
Vol. 68, No. 8 (Nov. 1975), 608-611.
- Frigerio, Emma, New relations in origami geometry proposed by J.
Justin, Proceedings of the First International Meeting of Origami
Science and Technology, H. Huzita ed. (1989), 125-130.
- Frigerio, Emma, Origami geometry: old and new, Proceedings of
the First International Meeting of Origami Science and Technology, H.
Huzita ed. (1989), 379-386.
- Frigerio, Emma and Humiaki Huzita, A possible example of system
expansion in origami geometry, Proceedings of the First International
Meeting of Origami Science and Technology, H. Huzita ed. (1989),
53-69.
- Geretschlager, Robert, Euclidean constructions and the geometry of
origami, Mathematics Magazine, Vol. 68, No. 5 (Dec. 1995),
357-371.
- Gibbs, W., Paper polygons, Mathematics Teaching, No. 103
(June 1983), 16-17.
- Haga, Kazuo, Origamics, parts 1-4 [in Japanese], ORU, No. 9
(Summer 1995), 64-67; No. 10 (Autumn 1995), 68-72; No. 11 (Winter 1996),
60-64; No. 12 (Spring 1996), 60-64.
- Haga, Kazuo, Proposal of a term origamics for plastic origami -
workless scientific origami (abstract), Abstracts for the Second
International Meeting of Origami Science and Scientific Origami,
Otsu, Japan (1994), 29-30.
- Haga, Kazuo, [??? title and article in Japanese] part 1,
ORU, No. 13 (Summer 1996), 58-61.
- Henry, L., Discovering the Euler line by paper folding, School
Science and Mathematics, Vol. 78, No. 8 (Dec. 1978), 665-668.
- Hilton, Peter and Jean Pedersen, Approximating any regular polygon
by folding paper, Mathematics Magazine, Vol. 56, No. 3 (May 1983),
141-155.
- Hilton, Peter and Jean Pederson, Folding regular stars and number
theory, Mathematical Intelligencer, Vol. 7, No. 1 (1985), 15-26.
- Hilton, Peter and Jean Pederson, Geometry: A gateway to
understanding, College Mathematics Journal, Vol. 24, No. 4 (Sept.
1993), 298-317.
- Hull, Thomas, A note on "impossible" paperfolding, American
Mathematical Monthly, Vol. 103, No. 3 (March 1996), 242-243.
- Hull, Thomas, Geometric constructions via origami, Proceedings
of the Second International Conference on Origami in Education and
Therapy (COET95), Origami USA, New York (1995), 31-38.
- Huzita, Humiaki, A problem on the Kawasaki theorem, Proceedings
of the First International Meeting of Origami Science and Technology,
H. Huzita ed. (1989), 159-163.
- Huzita, Humiaki, Axiomatic development of origami geometry,
Proceedings of the First International Meeting of Origami Science and
Technology, H. Huzita ed. (1989), 143-158.
- Huzita, Humiaki, Drawing the regular heptagon and the regular
nonagon by origami (paper folding), Symmetry: Culture and Science,
Vol. 5, No. 1 (1994), 69-84.
- Huzita, Humiaki, The trisection of a given angle solved by the
geometry of origami, Proceedings of the First International Meeting of
Origami Science and Technology, H. Huzita ed. (1989), 195-214.
- Huzita, Humiaki, Understanding geometry through origami axions: is
it the most adequate method for blind children?, Proceedings of the
First International Conference on Origami in Education and Therapy
(COET91), J. Smith ed., British Origami Society (1992), 37-70.
- Huzita, Humiaki and Benedetto Scimemi, The algebra of paper-folding
(origami), Proceedings of the First International Meeting of Origami
Science and Technology, H. Huzita ed. (1989), 215-222.
- Justin, Jacques, Aspects mathematiques du pliage de papier,
Proceedings of the First International Meeting of Origami Science and
Technology, H. Huzita ed. (1989), 263-277.
- Justin, Jacques, Mathematics of origami, parts 1 - 9, British
Origami (magazine of the British Origami Society), No. 110 (Feb
1985), 33-35; No. 111 (April 1985), 32-34; No. 112 (June 1985), 9-11; No.
113 (Aug. 1985), 5-8; No. 114 (Oct. 1985), 18-22; No. 115 (Dec. 1985),
18-20; No. 116 (Feb. 1986), 35-37; No. 117 (April 1986), 41-44; No. 118
(June 1986), 28-30.
- Justin, Jacques, Resolution par le pliage de l'equation du
troisieme degre et applications geometriques, reprinted in Proceedings
of the First International Meeting of Origami Science and Technology,
H. Huzita ed. (1989), 251-261.
- Kurosaka, R., The "Betsy Ross" star, Journal of Recreational
Mathematics, Vol. 10, No. 3 (1977-78), 174-176.
- Laming, Geoff, Teaching origami as mathematics, Proceedings of
the First International Conference on Origami in Education and Therapy
(COET91), J. Smith ed., British Origami Society (1992), 159-194.
- Larson, H., H. Kierstead, and R. Carre, Problem 628, A cube pattern
puzzle, Journal of Recreational Mathematics, Vol. 11, No. 3
(1978-79), 219-223.
- Lulli, H., The hexahedron, School Science and Mathematics,
Vol. 78, No. 6 (Oct. 1978), 518-519.
- Pedersen, Jean, Asymptotic euclidean constructions without
euclidean tools, Fibonacci Quarterly, Vol. 9 (1971), 199-216.
- Pedersen, Jean, Plaited Platonic solids, The Two-Year College
Mathematics Journal, Vol. 4, No. 3 (1973) 22-37.
- Piazzolla Beloch, M., Sulla risoluzione dei problemi di terzo e
quarto grado col metodo del ripiegamento della carta, Scritti
matematici offerti a Luigi Berzolari, Pavia (1936), 93-95.
- Messer, Peter, Problem No. 1054, Crux Mathematicorum, Vol.
12, No. 10 (Dec. 1986), 284-285.
- Morassi, Roberto, The elusive pentagon, Proceedings of the First
International Meeting of Origami Science and Technology, H. Huzita
ed. (1989), 27-37.
- Oxman, Victor, Problem No. 2036, Crux Mathematicorum, Vol.
22, No. 3 (April, 1996), 140-141.
- Rapport, W., Paper folding and convergent sequences, Mathematics
Teacher, Vol. 67, No. 5 (May 1974), 453-457.
- Rothery, A., A visual proof of the irrationality of the square root
of 2, Mathematics Teaching, No. 86 (March 1979), 15-16.
- Rupp, C.A., On a transformation by paperfolding, American
Mathematical Monthly, Vol. 31 (1924), 432-435.
- Scher, Daniel P., Folded paper, dynamic geometry, and proof: A
three-tier approach to the conics, Mathematics Teacher, Vol. 89,
No. 3 (March 1996), 188-193.
- Scherer, K. and B. Barwell, (Problem 884), Tetrahedron folding,
Journal of Recreational Mathematics, Vol. 13, No. 3, (1980-81),
233-235.
- Scimemi, Benedetto, Draw of a regular heptagon by the folding,
Proceedings of the First International Meeting of Origami Science and
Technology, H. Huzita ed. (1989), 71-77.
- Sinzinger, H., (Problem 849), Cube folding, Journal of
Recreational Mathematics, Vol. 13, No. 2 (1980-81), 152.
- Smith, John, Paperfolding and the Pythagorean theorem,
Proceedings of the First International Conference on Origami in
Education and Therapy (COET91), J. Smith ed., British Origami Society
(1992), 207-216.
- Trigg, C., Collapsible models of isosceles tetrahedrons,
Mathematics Teacher, Vol. 66., No. 2 (Feb. 1973), 109-112.
- Trigg, C., Geometry of paper folding, School Science and
Mathematics, Vol. 54 (1954), 435-455 and 683-689.
- Trigg, C., Tetrahedral models from envelopes, Mathematics
Magazine, Vol. 51, No. 1 (Jan. 1978), 66-67.
- Trigg, C., and M. Krimmal, (Problem 3637), Folding a rectangular
sheet of paper, School Science and Mathematics, Vol. 77, No. 2
(Feb. 1977), 171-173.
- Walter, M., Mathematics with a piece of paper, Mathematics
Teaching, No. 93 (Dec. 1980), 27-30.
- Yenn, Thoki, Origami and insanity, Proceedings of the First
International Meeting of Origami Science and Technology, H. Huzita
ed. (1989), 81-123.
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