
Recent Posts
Recent Comments
Archives
 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: October 2012
Periodic and quasiperiodic images from crosssections of 4dimensional space
In the earlier post “Quasiperiodic designs from waves and higher dimensional space” I have shown that the quasiperiodic wave pattern with 8fold rotational symmetry is a special crosssection of a periodic pattern in 4dimensional space. Here I will rotate the … Continue reading
Design from waves with tenfold rotational symmetry using another color model
Instead of controlling directly the color components red, green and blue with the waves we can use the huesaturationbrightness color model. In this example the waves of lowest frequency change the brightness. Waves of higher frequency change the hue. Saturation … Continue reading
Posted in Quasiperiodic design
Tagged Color, Quasiperiodic design, Quasiperiodicity, Rotational symmetry
Leave a comment
7 and 14fold rotational symmetry from waves
Similarly as for 5 and 10fold rotational symmetry, see “quasiperiodic design with fivefold rotational symmetry …“, we can create designs with 7 and 14fold rotational symmetry. Here are some examples: In comparison we get here larger round, mandalalike motivs around … Continue reading
Another design with tenfold rotational symmetry from waves
For tenfold rotational symmetry it is quite natural to begin with ten rhombs and angles of 36 degrees. This gives a larger rosette of rhombs than in the post before. The quasiperiodic design I get depends strongly on the choice … Continue reading
Quasiperiodic design with fivefold rotational symmetry in color
An easy way to get color is using three different sets of waves to control the three basic colors red, green and blue. The green color is the brightest one and thus used for the waves of lowest frequencies. The … Continue reading
Quasiperiodic designs from waves and higher dimensional space
I am doing it again – a rather mathematical post. Well, in “An easy way to quasiperiodic tilings” I have shown how to make the AmmannBeenker tiling using two square grids. Then in “How to find these corner points of … 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