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.
|Number of pages
|Journal of the Operations Research Society of Japan
|Published - Jul 2017
All Science Journal Classification (ASJC) codes
- General Decision Sciences
- Management Science and Operations Research