Origami Polyhedra Design is a book on origami designs for constructing polyhedra. It was written by the origami artist and mathematician John Montroll...

Three-dimensional forms tend to be regular polyhedra or tessellations of simple polyhedra. Modular origami techniques can be used to create a wide range...

ISBN 0486450252 Storytime Origami; Dover Publications, 2009 ISBN 0486467864 Origami Polyhedra Design; AK Peters, 2009 ISBN 1568814585 eZ Origami; Kindle Edition...

2307/2319703. JSTOR 2319703. MR 0367792. Montroll, John (2009). Origami Polyhedra Design. A K Peters. ISBN 9781439871065. Nielsen, Frank (2021). "On Geodesic...

doi:10.1016/j.dam.2009.08.002, MR 2602814. Montroll, John (2011), Origami Polyhedra Design, CRC Press, p. 5, ISBN 978-1-4398-7106-5. Goldberg, Nicholas; Haylett...

2307/3617750, JSTOR 3617750, S2CID 125411311 Montroll, John (2009), Origami Polyhedra Design, A K Peters, p. 6, ISBN 9781439871065 Oxman, Victor (2005), "On...

O'Rourke, Joseph (2007), "23.2 Flexible polyhedra", Geometric Folding Algorithms: Linkages, origami, polyhedra, Cambridge University Press, Cambridge,...

Bennett (1996). 3D Geometric Origami: Modular Origami Polyhedra. Dover. ISBN 9780486135601. Multimodular Origami Polyhedra: Archimedeans, Buckyballs and...

Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding...

with the art of origami. Some notable origamists / origamians are: Jay Ansill – composer and folk musician who also wrote The Origami Sourcebook Martin...

Lewis; Arnstein, Bennett; Gurkewitz, Rona (8 March 2012). Modular Origami Polyhedra: Revised and Enlarged Edition. Courier Corporation. ISBN 978-0-486-13784-1...

kusudama, paper toys, masks, modular polyhedra, as well as other geometric forms and objects, such as origami tessellations, with publications in Japanese...

of Polyhedra by George W. Hart Penultimate Modular Origami by James S. Plank Interactive 3D polyhedra in Java Solid Body Viewer is an interactive 3D polyhedron...

coauthor of books including: 3D Geometric Origami: Modular Origami Polyhedra (Dover, 1996) Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality...

flattened horizontal and vertical hexagons, and squares on the perpendicular polyhedra. With regular faces, the elongated square bipyramid can form a tessellation...

Foldability of Cylindrical Foldable Structures Based on Rigid Origami" (PDF), Journal of Mechanical Design, 138 (3): 1–8, doi:10.1115/1.4032194. Kokotsakis, A....

O'Rourke, Joseph (July 2007). Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge University Press. pp. Part II. ISBN 978-0-521-85757-4....

of origami has been reworked mathematically by Tomoko Fusé using modules, congruent pieces of paper such as squares, and making them into polyhedra or...

book}}: ISBN / Date incompatibility (help) Montroll, John (2009). Origami Polyhedra Design. A K Peters. p. 6. ISBN 9781439871065. Trigg, Charles W. (1978)...

to design and synthesize. DNA origami was the cover story of Nature on March 15, 2006. Rothemund's research demonstrating two-dimensional DNA origami structures...

as DNA machines, periodic two- and three-dimensional lattices, polyhedra, and DNA origami. It can also be used to create sets of nucleic acid strands which...

Robert J. Lang Origami. Retrieved 19 September 2023. Herng Yi, Cheng; Kang Hao, Cheong (2012). "Designing crease patterns for polyhedra by composing right...

but only in versions prior to Windows XP, and has been included in the "polyhedra" XScreenSaver hack since 2008. Jim Blinn (in one of his "Project MATHEMATICS...

Reproduced in British Origami, 1981, and online at the British Origami Society web site. Griggs, Mary Beth (28 January 2016), "Origami-Like Shape Could Help...

O'Rourke, Joseph (2007). Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge University Press. p. 239. Krat, Svetlana (2005). "4.3 Approximating...

Lyusternik–Schnirelmann". Geometric folding algorithms: Linkages, origami, polyhedra. Cambridge: Cambridge University Press. pp. 372–375. doi:10.1017/CBO9780511735172...

polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes...

Pentagonal pyramids occur as pieces and tools in the construction of many polyhedra. They also appear in the field of natural science, as in stereochemistry...

structures. Square pyramids are often used in the construction of other polyhedra. Many mathematicians in ancient times discovered the formula for the volume...

these artists include painting, sculpture, architecture, textiles and origami. Some artists such as Piero della Francesca and Luca Pacioli went so far...