منابع مشابه
An Algorithm for Finding the Veech Group of an Origami
We study the Veech group of an origami, i.e. of a translation surface, tessellated by parallelograms. We show that it is isomorphic to the image of a certain subgroup of Aut(F2) in SL2(Z) = Out (F2). Based on this we present an algorithm that determines the Veech group. 1. Origamis as Teichmüller curves (Oriented) origamis (as defined in section 2.1) can be described as follows: Take finitely m...
متن کاملA Disk-Packing Algorithm for an Origami Magic Trick
We present an algorithm for a magic trick. Given a polygon with holesP , our algorithm determines a folding of a rectangular sheet of paper such that a single straight cut suffices to cut out P .
متن کاملCircle Packing for Origami Design Is Hard
Over the last 20 years, the world of origami has been changed by the introduction of design algorithms that bear a close relationship to, if not outright ancestry from, computational geometry. One of the first robust algorithms for origami design was the circle/river method (also called the tree method) developed independently by Lang [7–9] and Meguro [12, 13]. This algorithm and its variants p...
متن کاملMathematical Methods in Origami Design
The marriage of art and mathematics has been widespread and productive, but almost nowhere more productive than in the world of origami. In this paper I will discuss how mathematical ideas led to the development of powerful tools for origami design and will present a step-by-step illustration of the design and realization of a representational origami figure using mathematical design algorithms...
متن کاملAn Additive Schwarz Algorithm for Piecewise Hermite Bicubic
An overlapping domain decomposition, additive Schwarz, conjugate gradient method is presented for the solution of the linear systems which arise when orthogonal spline collocation with piecewise Hermite bicu-bics is applied to the Dirichlet problem for Poisson's equation on a rectangle .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2021
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.2019241118