Classification of Flexible Kokotsakis Polyhedra with Quadrangular Base
نویسندگان
چکیده
منابع مشابه
Negative Selection Based Data Classification with Flexible Boundaries
One of the most important artificial immune algorithms is negative selection algorithm, which is an anomaly detection and pattern recognition technique; however, recent research has shown the successful application of this algorithm in data classification. Most of the negative selection methods consider deterministic boundaries to distinguish between self and non-self-spaces. In this paper, two...
متن کاملRemarks on Flexible Quad Meshes
A quad mesh is a discrete surface consisting of planar quadrangles. There are some examples where this polyhedral structure consisting of rigid faces, but variable dihedral angles, is continuously flexible, e.g., Miura-ori, Voss surfaces or Kokotsakis’ example which starts from a regular tiling of the plane by congruent convex quadrangles. The classification of all flexible quadrangular meshes ...
متن کاملAlgebra versus Analysis in the Theory of Flexible Polyhedra
Two basic theorems of the theory of flexible polyhedra were proven by completely different methods: R. Alexander used analysis, namely, the Stokes theorem, to prove that the total mean curvature remains constant during the flex, while I.Kh. Sabitov used algebra, namely, the theory of resultants, to prove that the oriented volume remains constant during the flex. We show that none of these metho...
متن کاملOn the Flexibility of Kokotsakis Meshes
In this paper we study geometric, algebraic, and computational aspects of flexibility and infinitesimal flexibility of Kokotsakis meshes. A Kokotsakis mesh is a mesh that consists of a face in the middle and a certain band of faces attached to the middle face by its perimeter. In particular any (3×3)-mesh made of quadrangles is a Kokotsakis mesh. We express the infinitesimal flexibility conditi...
متن کاملFlexible Text Segmentation with Structured Multilabel Classification
Many language processing tasks can be reduced to breaking the text into segments with prescribed properties. Such tasks include sentence splitting, tokenization, named-entity extraction, and chunking. We present a new model of text segmentation based on ideas from multilabel classification. Using this model, we can naturally represent segmentation problems involving overlapping and non-contiguo...
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: International Mathematics Research Notices
سال: 2016
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnw055