Background images

   HTML picture generator

T his device in two frames lets you generate your own background patterns easily. The left frame controls the right one. By modifying the parameters to the left, you are able to changing the generated patterns, which appear when you click:

  1. Calculate
  2. Draw (Write)

T o generate good, big patterns take more efforts, also because the drawing takes more time. To plot each picture is what takes most of the time. A 500*500 image takes 36 minutes on my good computer. The crucial point is probably the RAM-memory of your computer. For this size (500*500) there is 25000 one pixel pictures which must be written in html.

   Fractal galleries

Y ou can make up your own galleries of mathematic art. But even if these patterns reminds about fractals the algorithm is freely developed. It is more fitted for repetition, to cover big areas.

   How to do?

T he fastest way to get in control of this device is to begin with trial and error. Then you get a feeling of which modifications that bring in certain characteristics. The combination possibilities are unlimited. Some patterns become irregular, but most of them are in two mirror planes.

W hen you have a pattern

T he only way to save theese pictures for background purposes is by making a screen dump. Open this dump in your favourite picture editor, crop up the image and voiala! There is your background image. Screen dumps should be possible on almost all computers. On Macintosh the command is Control+Shift+3. The dump is saved on the hard disk area.

S ide length

m akes a square which is 50*50 pixels. 100 makes a square which is 100*100 pixels. Values above 200 gives time consuming write processes on most computers. Old computers like a Macintosh Performa have difficoulties with much smaller picturel already.

   Frame Width

F ive mathematical centra is set for the algorithm to work with. The distances to them is part of the trick. A frame of half the side length sets the fiver extra centra on one single spot, namely in the middle. A frame of 0 sets four centra at the corners of the picture, while the fifth one always remain in the middle.


T his is not a common zoom, but there are tendence that bigger values gives less blurry patterns.


T he tendence is that big values makes more variations in the picture. But values around 1 could also be optimal.


T his is an analog to Sin2i. Those curves will b brought on each other. With at least ane small value, the picture is more likely not to be blurry.


T his is an analog to Sin2u. Big values is more likely to give clear images.


R ead about Sin1i.


R ead about Sin1u.


B ig values are more likely to result in complicated images. However this is an additive and its little point with a change from 0.001 to 0.005. Make big changes, like 0 to 200.


A more diffuse additive. Test your way forward with this.


A n analog to f2. Small values are likely to result in clearer images. The values could be made very small.


S ee f1.


S maller values gives much more static images.


N ot an analog to postm1. Small values, about less then 30 could cut some colours off and make the pictures booring. Big values gives blurry pictures.

   sincerely   /Kåre Andersson