Category Archives: Anamorphosis

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 , , | Leave a comment

rosettes with glide reflection

For a rosette of p-fold 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 , , | 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 , , , | 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 , , , | 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 x-axis is a simple example. It makes that the image remains unchanged … Continue reading

Posted in Anamorphosis, Kaleidoscopes | Tagged , , , , | Leave a comment

How to generate rosettes

A rosette is an image with rotational symmetry. For p-fold 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 , , , | Leave a comment

Anamorphosis and symmetries

As proposed by Farris in “Creating Symmetry” we can use anamorphosis to make images of any symmetry from some other input image. Here I briefly discuss how I am doing it and what you will find in my next program. Each … Continue reading

Posted in Anamorphosis, Kaleidoscopes, programming | Tagged , , | Leave a comment