
Recent Posts
Recent Comments
Archives
 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
Monthly Archives: February 2017
Rosettes with glide reflection and rotation symmetry
We now come to the last distinct combination of symmetries for friezes and rosettes. It uses the glide reflection and the rotation by 180 degrees resulting from two mirror symmetries of the two preceeding posts. The mapping functions have to have the symmetry … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged mirror symmetry, rose window, Rotational symmetry
Leave a comment
rosettes with glide reflection
For a rosette of pfold rotational symmetry you have an equivalent to the glide reflection symmetry of a fries. It is a rotation by an angle of π/p around its center together with a reflection or rather inversion at r=1. … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged anamorphosis, rose window, Rotational symmetry
Leave a comment
Combinations of mirror symmetries
We now create rosettes with combinations of the two mirror symmetries. We can put them in “parallel” or in “series”. In “parallel” means that the rosette has both symmetries at the same time and thus the mapping functions have to obey … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged image processing, mirror symmetry, rose window, Rotational symmetry
Leave a comment
Rosettes with another mirror symmetry
Symmetries are important for design because they determine the overall appearance of an image. Rotational symmetry without mirror symmetry makes a dynamical image, whereas additional mirror symmetries give a more static appearance. Generally, an image becomes more abstract if we … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged anamorphosis, kaleidoscope, mirror symmetry, Rotational symmetry
Leave a comment
Rosettes with mirror symmetry
The program for making rosettes offers many possibilities and it is difficult to find something to aim for. As a guide we can use symmetries. Mirror symmetry at the xaxis is a simple example. It makes that the image remains unchanged … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged image processing, mirror symmetry, programming, rosette, Rotational symmetry
Leave a comment
How to generate rosettes
A rosette is an image with rotational symmetry. For pfold symmetry we can use the methods of the last post “Anamorphosis and symmetries” with a simple power as a mapping function between output and input images: Here z=x+iy relates to … Continue reading
Posted in Anamorphosis, Kaleidoscopes, programming
Tagged anamorphosis, image processing, programming, Rotational symmetry
Leave a comment