
Recent Posts
Recent Comments
zenorogue on Straight lines in elliptic and… Peter Stampfli on Curves Peter Stampfli on Elliptic kaleidoscopes Para Parasolian on Elliptic kaleidoscopes Para Parasolian on Curves Archives
 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: quasiperiodic Tiling
threecolor rotational symmetry
I found it rather difficult to add threecolor symmetry to rotational symmetry and had to do the theory of the post “color symmetry upon rotation“. Then, programming was quite easy. In the end we combine a periodic or quasiperiodic anamorphic … Continue reading
Quasiperiodic design with 8fold rotational symmetry from 4dimensional space
Using the recipe of the last post for fourdimensional space (p=4) I got this image of 8fold rotational symmetry: A center of approximate 8fold rotational symmetry is near the lower left corner. Large brown patches appear at roughly equal distances. … Continue reading
checkerboard coloring of tiling with 12fold rotational symmetry
At the risk of boring you I am showing the results of the checkerboard coloring as discussed in the last post, but now for 12fold rotational symmetry. Again the stars of rhombs have only one color: All squares have the … Continue reading
checkerboard coloring of quasiperiodic tilings
A long time ago I found a coloring of the rhombs of the AmmannBeenker tiling using two colors such that translations exchange colors, see “twofold color symmetry …“. In particular, there are stars of rhombs of both colors. They define … Continue reading
tired of rhombs ?
Just only rhombs may become tiring. You want to have a quasiperiodic tiling of tenfold rotational symmetry with other tiles ? Well, we can easily find a different decoration of a tiling such as the one shown in “Dualization method … Continue reading
Posted in Quasiperiodic design, Tilings
Tagged Geometry, ornament, Penrose tiling, programming, quasiperiodic Tiling, rose window
Leave a comment
tiling with rhombs of 12fold rotational symmetry
If we use n=3 in “Dualization method for tenfold rotational symmetry – the code” we get the wellknown periodic tiling with rhombs of 60 degree acute angle and hexagonal symmetry. It is useful for isometric projections, see the geometricon.wordpress.com blog … Continue reading
Breaking the rotational symmetry in the dualization method
We now proceed as we did earlier for the projection method in “breaking the tenfold rotational symmetry“. The sets of parallel lines are moved alternatingly back and forth from the origin. Thus s_i=0.5+xTrans*cos(i*PI/n)+yTrans*sin(i*PI/n)+plusMinus for even i and s_i=0.5+xTrans*cos(i*PI/n)+yTrans*sin(i*PI/n)plusMinus for odd … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged quasiperiodic Tiling, Rotational symmetry
Leave a comment