
Recent Posts
 A rosette in a roman mosaic is an exponential transform of a periodic tiling
 Fractal tiling of a sphere with octahedral twocolour symmetry
 A fractal tiling of both octahedral and icosahedral symmetry
 A variant of the Apollonian gasket with icosahedral symmetry
 Apollonian gasket as a fractal in tiled hyperbolic space
Recent Comments
Archives
 September 2019
 August 2019
 July 2019
 April 2019
 March 2019
 November 2018
 October 2018
 September 2018
 August 2018
 March 2018
 February 2018
 January 2018
 December 2017
 November 2017
 September 2017
 August 2017
 July 2017
 June 2017
 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: February 2013
cellular automaton with color on a square lattice
I used the same methods as in the last post but now for a square lattice. I could not get similar results with 4fold rotational symmetry instead of 6fold rotational symmetry. Instead, the images were rather different. For my taste, … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, Color, generative design, Moore neighborhood, square lattice
Leave a comment
Hexagonal cellular automaton in color
The images from the hexagonal cellular automaton shown in “Basic parity rule – sample images ” and “Modified parity rule – sample images ” are only black and white. But I prefer color. To get similar images in color I modified the … Continue reading
Beautifying the double grid
The grids for quasiperiodic tilings do not look good because a lot of irregular shapes arise from superimposing two simple grids, see the article “Doubling the tessellation of triangles“. But we can distort these double grids and get new interesting … Continue reading
Posted in Tilings
Tagged Ammann–Beenker tiling, dual tesselation, Geometry, islamic art, quasiperiodic Tiling, Stampfli tiling
Leave a comment
Periodic approximations of quasiperiodic tilings
In the earlier post “Why these tilings are not periodic” I showed that the AmmannBeenker tiling is quasiperiodic because it arises from superimposing two square grids with rotated by 45 degrees. As seen in the same direction we have the periodic … Continue reading
Posted in Tilings
Tagged Ammann–Beenker tiling, dual tesselation, quasiperiodic Tiling, Quasiperiodicity
Leave a comment
Modified parity rule – sample images
This is quite similar to the last posts with some small changes: As in the post “The modified parity rule” I am now counting the state of the cell itself too. To get a calmer image I am using gray as … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, generative design, hexagonal lattice
Leave a comment