
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: enantiomorphic
Doubling the semiregular tesselation of hexagons and many triangles
There is one semiregular tessellation of sixfold rotational symmetry left over which I have not yet used to create a quasiperiodic tiling of 12fold rotational symmetry. It has rings of triangles such that the hexagons do not touch each other, … 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
Twisting the tiling of dodecagons and triangles
In an earlier post (“Morphing the tiling of octagons and squares – a new twist“) I have varied the angles between the lines of the tiling and their generating grid lines. This gave us new tilings without mirror symmetry. I … Continue reading
Posted in Tilings
Tagged dual tesselation, enantiomorphic, mirror symmetry, quasiperiodic Tiling, 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
Morphing the tiling of octagons and squares – a new twist
In an earlier post I have shown how the tiling of octagons and squares transforms to the AmmannBeenker tiling by using different lengths for the dual lines. Here I am presenting another modification of the dualization method. The dual lines … Continue reading
Posted in Tilings
Tagged Art, dual tesselation, enantiomorphic, Geometry, mirror symmetry, morphing, quasiperiodic Tiling
Leave a comment