Real Art

Select the real number whose digits are to be used for the random walk.

You are offered , , or a randomly generated real number between 0 and 1.

Click the "randomize" button to create a new random seed. The "seed" option is automatically set to "random" if it has not been chosen already.

Select the number base.

If you select base 2, then all digits are 0 or 1, so only two colors will be seen.

Select how many digits of the real number to process.

Select the angle by which the walk turns at each step.

Click the button to create a new set of randomized angles. The option "angle" is set to "random".

Selection 1: The digits 0 to 9 are associated with ten gray levels.

Selection 2: The digits 0 to 9 are associated with the colors red, orange, yellow, green, blue, purple, brown, black, cyan, pink, gray, magenta, light gray, light blue, light green, and light brown.

Selection 3: The digits 0 to 9 are associated with a set of ten random colors (the red, green, and blue components of the RGB colors are randomly selected between 0 and 1). Every time you select "3", a new set of ten colors is generated.

Selections 4, 5, 6, 7: Similar to selection "3", but here the colors are selected by different routines.

Selection 8: Here the colors are not associated to the ten digits, but rather are random at every step of the walk.

Selection 9: All colors are black; only the line displayed last is painted red.

If your "colors" selection is 3, 4, 5, 6, or 7, you can click the "randomize colors" button to randomize the color selection.

Click the "axes" button to display the and axes. By the numbers on the axes you will also see the extent of the drawing board. (The system automatically resizes the image and the drawing board when the random walk moves outside the screen.)

Select how the random walk should be marked. The sizes of the markers are related to the sizes of the digits.

Lines connect two consecutive points of the walk.

Squares, circles, and disks are placed at the vertices of the walk's polyline.

Use the "line thickness" slider to adjust the thickness of lines and circles.

With these sliders you can change the sizes of all markers of a given type simultaneously.

This Demonstration was inspired by Stephen Wolfram's Demonstration "Randomness in the Digits of Pi".