Relatives of Sierpinski - Animation Directions
This program illustrates the generation of the Sierpinski family using the Chaos Game.
Select one of the three cells to the left by clicking on it with the mouse.

Choose a transformation for the selected cell by clicking on the appropriate box to the left.

Shift:  The Shift function shrinks the current game point to the bottom left, translates it back to its appropriate cell, and then performs the transformation.

Shadow:  Generates a shadow of the limit image.  Allows visualization of how the Chaos Game fills in that image.

Rule:  Click on T, L, R, or Random to roll the die in the Chaos Game.  Clicking on the ColoredDie will also produce a random roll in the Chaos Game.

Iteration Menu:  The Slow Movie and Fast Movie provide an animation to support the understanding of the moves in the Chaos Game.  To show a continuous movie, click the Iterate button.   To show one step at a time, click T, L, R, Random, or the Die. 1 Iteration shows the rolls in the Chaos Game.  To control each roll, use the T, L, R buttons.  To show a continuous stream of random rolls, click on the Iterate button.  The SmallPixel function uses the Chaos Game to rapidly produce the limit image one step at a time with no animation.

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