
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: July 2012
Another tiling of dodecagonal symmetry
We consider selfsimilarities and iteration methods for quasiperiodic tilings of 12fold symmetry. In “Iteration of rhombs: filling the gap (2)” the ratio of the lengths at each iteration step is sqrt(2+sqrt(3))=sqrt(3.73)=1.91. The Stampfli tiling has a selfsimilarity (see “Exhibition of … Continue reading
Posted in Tilings
Tagged Geometry, Iterative method, quasiperiodic Tiling, Selfsimilarity
Leave a comment
Another tiling with octagons
I am addicted to iterative methods. They are easy to program and yield surprising results. I like to work out new iterative schemes, which have often their particular beauty. But the great suspense arises when running them first time on … Continue reading
Posted in Tilings
Tagged Ammannâ€“Beenker tiling, Iterative method, quasiperiodic Tiling, Rotational symmetry
Leave a comment
A special threecolor symmetry
Earlier I have presented a coloring of the AmmanBeenker tiling which exchanges colors upon translation, see “Twofold color symmetry in translation” and “Twofold color symmetry in translation – revisited“. It resulted from the square checkerboard. As there are many similarities … Continue reading
Posted in Tilings
Tagged Color, quasiperiodic Tiling, Selfsimilarity, translational symmetry
Leave a comment
Threecolor symmetry in rotation for the Stampfli tiling
I am going back to color symmetries of the Stampfli tiling. In an earlier post I showed a twocolor symmetry in rotation. Now I am discussing a symmetry with three colors. A rotation of the tiling by 30 degrees should … Continue reading
Variations on a star
I still have a lot to do on tilings of 12fold rotational symmetry – but summer is too hot to do serious work. Meanwhile I amuse myself with iterative decorations. Two triangles superimposed form a sixpointed star. This is a … Continue reading
Posted in Anamorphosis, Extra
Tagged inversive geometry, Iterative method, Rotational symmetry
Leave a comment
Another enantiomorphic tiling
In the last post “doubling the tessellation of squares and triangles” I have shown a quasiperiodic tiling with an unusual mirror symmetry. Earlier in “Morphing the tiling … a new twist” I got a tiling which is not at all … Continue reading
Posted in Tilings
Tagged enantiomorphic, Geometry, Iterative method, mirror symmetry, quasiperiodic Tiling
1 Comment
Doubling the tessellation of squares and triangles
Equilateral triangles do not fit well with fourfold rotational symmetry. Yet there exists a semiregular tessellation having both. It has unusual symmetries. The centers of the rotational symmetries are at the center of the squares. It is mirror symmetric but … Continue reading
Posted in Tilings
Tagged enantiomorphic, Geometry, mirror symmetry, quasiperiodic Tiling, Rotational symmetry
Leave a comment