Jump to content

Talk:Euclidean tilings by convex regular polygons

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Melchoir (talk | contribs) at 02:15, 9 October 2005 (Talk:Tilings of regular polygons moved to Talk:Tiling by regular polygons). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Title

Shouldn't this be "Tilings by regular polygons" or even "Plane tilings by regular polygons"? Melchoir 01:18, 9 October 2005 (UTC)[reply]

Cleanup and topics not covered

I cleaned up the article and removed the cleanup tag. There are still a number of topics discussed in Grünbaum and Shephard which could perhaps be discussed on this page but aren't yet:

  • More on -uniform (and -isohedral, -isotoxal) tilings, with additional examples and something on the Krötenheerdt tilings; equitransitive tilings.
  • Non-edge-to-edge tilings: equitransitive unilateral tilings by squares; the problem of tiling the plane with exactly one square of each integer edge length.
  • Star polygons, both in the style of Kepler (Grünbaum and Shephard section 2.5, the lists there being incomplete) and as hollow self-intersecting polygons (section 12.3); I shouldn't make the call as to notability of the former, having published regarding them.
  • The duals of the uniform tilings (Laves tilings).
  • Archimedean and uniform colourings of tilings.

Joseph Myers 00:41, 6 October 2005 (UTC)[reply]