
Recent Posts
Recent Comments
Archives
 May 2017
 February 2017
 January 2017
 November 2016
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
Categories
Meta
Monthly Archives: August 2012
Morphing tilings of six and twelvefold symmetry
I just finished an animated morphing between the different tilings using the grid of the last post. There are same glitches and the images have suffered due to compression, sorry.
Doubling the tesselation of dodecagons, hexagons and squares
Today I am looking again at a semiregular tessellation with hexagonal symmetry. But this tessellation is the most complex one. I can get all tessellations of the earlier posts from the grid of this tessellation just by leaving out one … Continue reading
Posted in Tilings
Tagged dual tesselation, quasiperiodic Tiling, Rotational symmetry
Leave a comment
The L2tiling is not selfsimilar !
In my earlier post “Doubling the tessellation of hexagons and triangles” I found a tiling with a rather high density of stars of twelve rhombs. I called it the L2tiling. To see if the L2tiling is selfsimilar I let the … Continue reading
Doubling the tessellation of hexagons, squares and triangles
There is a nice semiregular tessellation with sixfold rotational symmetry made of hexagons, squares and triangles. Its grid is easy to find. From two of these grids we get a rather complicated tiling with twelvefold rotational symmetry: Note that we … Continue reading
Posted in Tilings
Tagged dual tesselation, quasiperiodic Tiling, Rotational symmetry
Leave a comment
Doubling the tesselation of dodecagons and triangles
It is still too hot for my brain to do something really new and thus I continue with the semiregular tessellations. Today I am looking at the tessellation of dodecagons and triangles. Dodecagons are regular polygons with twelve sides. The … Continue reading
Posted in Tilings
Tagged dual tesselation, quasiperiodic Tiling, Rotational symmetry, shield tiling, Socolar tiling
Leave a comment
Doubling the tessellation of hexagons and triangles
With the dualization method we can use all semiregular tessellations of sixfold symmetry to make quasiperiodic tilings of 12fold symmetry. We begin with the tessellation of hexagons and triangles. It has many intertwined stars. Its generating grid consists of rhombs. … Continue reading
Posted in Tilings
Tagged dual tesselation, quasiperiodic Tiling, Rotational symmetry, Selfsimilarity
Leave a comment
Doubling the tesselation of hexagons
We continue with the dualization method. Here again I am not presenting something really new. I am just trying to put things together. It was probably Socolar who first used the dualization method to get a quasiperiodic tiling of 12fold … Continue reading
Posted in Tilings
Tagged dual tesselation, quasiperiodic Tiling, Selfsimilarity, shield tiling, Socolar tiling, Stampfli tiling
Leave a comment