The Hadwiger Number of Jordan Regions is Unbounded
Otfried Cheong, Mira Lee
Abstract
We show that for every n > 0 there is a planar topological disk A0 and n translates A1, A2, ..., An of A0 such that the interiors of A0, ... An are pairwise disjoint, but with each Ai touching A0 for 1 <= i <= n.
Create a lesson
Related papers
Numerical Simulation of Transdermal Insulin Delivery Using a Coated Microneedle in a 2D Skin Model
Milana Tesfamarian, Michael Heisig, Gabriel Wittum et al.
Multi-Stage NeRF for Efficient 3D Coronary Artery Reconstruction from Two Narrow-Angle Angiographic Projections
Deyu Meng, Mojtaba Lashgari, Yiying Wang et al.
Perfectly Guarding Straits: Exact Algorithms for Weak Visibility Polygons
Shouvik Mondal, Udvas Das, Sasanka Roy
Low-Dimensional Embeddings for Gaussian Kernels on Manifolds
Soumik Dutta, Kunal Dutta
Flip Graphs for Eight Points in Three Dimensions Are Connected
Marc Khoury
Computing the minimal perimeter polygon for digital objects in the triangular tiling
Petra Wiederhold