Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists.
Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami
At the end of the book, there are several appendices, such as a small english-spanish origami dictionary, the symbol guide for those used in the book and several references related to tessellations.
It makes use of the The button molecule is a modification of the hex spread that creates a tessellation that is memory of the paper to keep the form together, like the ridges described in Section 2.22. Start with a hex spread twist in ...
Messer, Peter. 1984. Summary of all irreducible cases of simultaneous superimpositions of elements in a folding plane that will produce a finite number of crease lines. Preprint. Messer, Peter. 1986. ... Murray, Richard M. 1994.
The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute.
The origami introduced in this book is based on simple techniques.
Plus, get a close-up look at these technologies with two augmented reality images included in the book!
Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, ...
Exploring 3D Geometric Designs Meenakshi Mukerji ... Folding with pentagonal paper is not uncommon in origami. Philip Shen, Rona Gurkewitz, Bennett Arnstein, and several other origami artists have models folded from pentagons.