
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
Tag Archives: Iterative method
Iterative method for the AmmannBeenker tiling – the code
// needs class Vector and saveImage code // for details see Iterative method for the AmmannBeenker tiling using “Vector” Vector a,b,c; float f; void setup(){ size(600,600); f=1./(1.+sqrt(2.)); strokeWeight(2); smooth(); } void draw(){ noLoop(); a=new Vector(10,10); b=new … Continue reading
Posted in programming, Quasiperiodic design
Tagged Ammann–Beenker tiling, Iterative method, processing, programming
Leave a comment
Iterative method for the AmmannBeenker tiling using “Vector”
In the earlier post “An efficient iterative method for the AmmannBeenker tiling” I briefly presented an iterative dissection of rhombs and triangles that gives the AmmannBeenker tiling. In the next post “Iterative method for the AmmannBeenker tiling – the code” I … Continue reading
A tiling with squares and triangles only
One can go to the other extreme and find suitable dissections of the square and the equilateral triangle without rhombs. For the square we get two different compositions of the sides. Thus we need two different kinds of triangles to … Continue reading
A tiling with triangles and rhombs only
We can dissect the rhomb into triangles and rhombs without using squares. This dissection destroys its mirrorsymmetry but leaves the rotational symmetry around its center intact. Together with the dissection of the triangle into rhombs and triangles shown in the … Continue reading
Posted in Tilings
Tagged enantiomorphic, Iterative method, mirror symmetry, quasiperiodic Tiling, Rotational symmetry
Leave a comment
Finding an iteration method for the Stampfli tiling – mission impossible
I have caught a cold. I am not able to do new work and thus I am writing up some old leftovers. It is not possible to find an iteration method for the Stampfli tiling. One finds easily how to … Continue reading
Posted in Tilings
Tagged iteration, Iterative method, quasiperiodic Tiling, Stampfli tiling
Leave a comment
Quasiperiodic tiling with pentagons – the Penrose connection
The last post “A quasiperiodic tiling with pentagons” is close to the original reasoning of Penrose, see the article “Penrose tiling” in Wikipedia. He dissected the Pentagon into six smaller ones and filled the gaps with other tiles. He took … Continue reading
Posted in Tilings
Tagged fractal, Iterative method, Penrose tiling, pentagon, pentagram, quasiperiodic Tiling
2 Comments
A quasiperiodic tiling with pentagrams
I wanted to eliminate the gaps appearing in the earlier post “Iteration of pentagrams“. The pentagon that surrounds the pentagram should ultimately be filled up with pentagrams of different sizes. The six pentagrams of the earlier iteration scheme are shown … Continue reading
Posted in Tilings
Tagged iteration, Iterative method, Penrose tiling, pentagram, quasiperiodic Tiling
Leave a comment