Theorems of alternatives are useful mathematical tools in optimization. Their objects are pairs of linear systems. Folding a paper with a crease defines a linear inequality in R2. So one gets convex polygons by folding a paper many times. This paper provides a new perspective of duality to origami mathematics. We show that Gale's theorem of alternatives is useful for the study of twist fold.
|ジャーナル||Journal of the Operations Research Society of Japan|
|出版ステータス||出版済み - 7 2017|
All Science Journal Classification (ASJC) codes
- Decision Sciences(all)
- Management Science and Operations Research