It is still cold outside and the soil is frozen. Thus I have not much to do in the garden and a lot of time for this blog.
In the previous article “How to program an ideal kaleidoscope” I have tried to explain how I programmed a virtual kaleidoscope. Here I want to show you some results for kaleidoscopes with three, four and six-fold rotational symmetry. These symmetries give periodic images.
Two reflections at different mirrors make a rotation by double the angle between the mirrors. Thus if the three mirrors form an equilateral triangle we get rotations by 120 degrees. This results in three-fold rotational symmetries and periodic images:
If the angle between the mirrors are 30, 60 and 90 degrees we get rotations by 60 degrees, hexagonal rotational symmetry and periodic images:
Finally, mirrors at angles of 45 and 90 degrees make four-fold rotational symmetries:
Thank you for looking at my work. I am dreaming of sunshine and gardening.