
Recent Posts
Recent Comments
Archives
 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: mirror symmetry
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
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
class Kaleidoscope
The class Kaleidoscope collects all mappings needed to make the four periodic kaleidoscopes. We first have to create an object with kaleidoscope=new Kaleidoscope(); and then we can choose one of the kaleidoscopes. With kaleidoscope.chooseRectangle(50,120); we would have a rectangular … Continue reading
Posted in Kaleidoscopes, programming
Tagged kaleidoscope, mirror symmetry, programming, Rotational symmetry
Leave a comment
Geometry of kaleidoscopes with periodic images
About a year ago I explained “how to program an ideal kaleidoscope” to get the same as three mirrors put together. Often, one gets images that are not periodic. They have cut lines with a mismatch between the two sides, … Continue reading
Posted in Kaleidoscopes
Tagged Geometry, kaleidoscope, mirror symmetry, period doubling, periodic images, Rotational symmetry
Leave a comment
waves
I was looking at the waves resulting from stones thrown into a lake. This made me think of an anamorphosis, that simulates these troubled reflections. It is actually quite simple. The center of the coordinate system is in the middle. … Continue reading
Posted in Anamorphosis, Extra
Tagged anamorphosis, Art, Color, mirror symmetry, Rotational symmetry
Leave a comment