
Recent Posts
Recent Comments
Peter Stampfli on Curves Peter Stampfli on Elliptic kaleidoscopes Para Parasolian on Elliptic kaleidoscopes Para Parasolian on Curves Further hyperbolic k… on Geometry of kaleidoscopes with… Archives
 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: September 2012
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
Using the wrong harmonics …
If we combine sinusoidal waves making a square pattern, f(x,y)=cos(kx)+cos(ky) with other waves of higher frequency g(x,y)=cos(a kx)+cos(a ky) we should use an integer ratio a between the frequencies to get again the same periodicity. If the ratio a is … Continue reading
Synthesizing quasiperiodic tilings
Synthesizers for electronic music combine simple waves to create complex sounds. Similarly, we create quasiperiodic structures from simple sinusoidal waves. I presented a first attempt in the post “quasiperiodic designs from superposition of waves“. A more complete method is discussed … Continue reading
Autumn leaves
In autumn find a lot of colorful leaves and we dry them. Later we are disappointed as they lose their color and become brittle. Thus I now prefer to scan the leaves with the scanner on my printer. It is … Continue reading
Making quasiperiodic structures using waves: A simple program
// this is a simple program // it shows more clearly how I get quasiperiodic structures // from waves // feel free to experiment //———————————————— // to run the program you need processing // simply download processing from processing.org … Continue reading
Experiments with waves
I extended the program that mixes waves to get some more decorative and less scientific pictures. Using n=9 and a nonlinear color model gives: