A Small Aperiodic Set of Planar Tiles
โ Scribed by Chaim Goodman-Strauss
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 259 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given 3n points in the unit square, n >12, they determine n triangles whose vertices exhaust the given 3n points in many ways. Choose the n triangles so that the sum of their areas is minimal, and let a\*(n) be the maximum value of this minimum over all configurations of 3n points. Then n-~<< a\*(n)
An algorithm is described to determine the minimum area polar set of a planar convex polygon described in terms of its vertices. We adopt a result due to Santalo to verify our minimizing solution, and then demonstrate the search procedure on a few examples. 'For triangular (and centrally symmetric)
In this paper we present an efficient algorithm for the off-line dynamic maintenance of the width of a planar point set in the following restricted case: We are given a real parameter W and a sequence X = (a,, , a,,) of n insert and delete operations on a set S of points in R2, initially consisting