Non-tiles and `walls' -- a variant on the Heesch problem (Q2827609)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Non-tiles and `walls' -- a variant on the Heesch problem |
scientific article; zbMATH DE number 6641650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-tiles and `walls' -- a variant on the Heesch problem |
scientific article; zbMATH DE number 6641650 |
Statements
20 October 2016
0 references
tilings
0 references
wall thickness
0 references
Heesch number
0 references
thickness number
0 references
non-tiles
0 references
math.HO
0 references
Non-tiles and `walls' -- a variant on the Heesch problem (English)
0 references
The paper is related to Heesch numbers which is the maximum number of layers of copies of a planar figure \(F\), having the same shape and that can surround \(F\). A figure that tiles the plane has Heesch number infinity, and the Heesch number of a figure that cannot tile the plane in this sense (then called a non-tile) yields a measure of how much it can progress towards tiling the plane. Using the notions of ``wall'' and of ``wall thickness'', the authors modify this framework to rank non-tiles.
0 references
