Modelling the folding of paper into three dimensions using affine transformations

Linear Algebra and Its Applications

Volumn 348, Issue 1-3, 2002, Pages 273-282

  Belcastro, Sarah Marie ^a   Hull, Thomas C ^b  

^a UNIVERSITY OF NORTHERN IOWA   (United States)

^b MERRIMACK COLLEGE   (United States)

Author keywords

Affine; Folding; Homogeneous; Non flat folding; Paper; Transformations

Indexed keywords

LINEAR ALGEBRA; MATHEMATICAL TECHNIQUES; MATHEMATICAL TRANSFORMATIONS;

AFFINE; AFFINE TRANSFORMATIONS; FOLDING; HOMOGENEOUS; IDENTITY MATRICES; NON FLATS; PIECEWISE ISOMETRY; ROTATIONAL MATRICES;

PAPER;

EID: 31244432417     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00608-5     Document Type: Article

References (8)

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4. D. Fuchs, S. Tabachnikov, More on paperfolding, Amer. Math. Monthly 106 (1) (1999) 27-35.
5. T. Hull, On the mathematics of flat origamis, Congr. Numer. 100 (1994) 215-224.
6. J. Justin, Mathematics of origami, part 9, British Origami (118) (1986) 28-30.
7. T. Kawasaki, On the relation between mountain-creases and valley-creases of a flat origami, in: H. Huzita (Ed.), Proceedings of the First International Meeting of Origami Science and Technology, 1989, pp. 229-237.
8. T. Kawasaki, in: K. Miura (Ed.), R(γ ) = I, Origami Science and Art: Proceedings of the Second International Meeting of Origami Science and Scientific Origami, 1997, pp. 31-40.