Light Pollution

Light Pollution

The stars are away. When I was a boy, I can remember that you could saw the stars of the milk street. It was very fascinating. Sometimes, especially in winter we made a walk in the night with the parents and I wonderd about the millions of stars you could see.

Have you ever seen the milk street? Can you remember? No, I am sure it is not possible in europe these days. The light pollution is too hight. There is to much light in the night in the industrial areas of the world.

So our children will not see the milk street with their own eyes. They only can hear about it from their parents or be impressed of photos shot on satellits. The image on the left shows the light pollution of europe.

Mandelbrot

Mandelbrot

A long time ago I was impressed from this bizarre images made of the mandelbrot set. And a few weeks ago I developed a screensaver which draws different details of the mandelbrot set.

Meanwhile I know a little bit more about this image and it is much more fascinating than ever before. I invested at lot of time to get this screensaver running. But now it works. It randomly selects a part of the currently painted image and zooms inside this part. The zooming goes on until the computer is not able to calculate more detailed information.

You can download the screensaver Mandelbrot and copy the file into the system directory. Then select the screensaver in the desktop property screen and make some odd settings there. You will enjoy it and be impressed of the different images of the Mandelbrot set.

Peters Map

Peters Map

If you look at the mercator map you must think that scandinavia is almost as large as india. But the real dimensions are at the contrary. India is mor than 10 times larger than scandinavia.

And you could realize that africa is a quite small continent. But in reality africa is much larger as europe. Europe could be a small part of africa.

The mercator map does not display the real size of the continents and countries. It is absolutly europe concentrated. Europe is displayed much larger than it realy is. The petersmap gives a much better image of the real world.

Triangle

Triangle

When I attended school and had some lessons about the triangle I was deeply impressed from this odd figure.

And since I tried some calculations with vector analysis my idea was to develope a screensaver which randomly draws a triangle and calculates and paints all important points, lines and circles of the triangle.

You can download the screensaver Triangle and copy the file into the system directory.

Sudoku

Sudoku

When my wife first introduced this famous game to me I immediatly was impressed and tried to find out the logic behind the game.

After a bulk of solved Sudokus I tried to develope a Jave routine which is able to do the work. My consideration was that the program should make the same decisions as a human. The solution was quite easy.

The Jave routine implements two steps. Step one is to remove all values from the possible values of a cell that are not allowed because they are alread used in another cell of the cell group. If there is a cell with only one remaining possible value, it is the cells value.

Step two is to remove all possible values from a cell that are also possible in another cell of the cell group. If there remains only one possible value in a cell, it is the cells value. Repeat both steps until the