Texas Instruments TI-83 Using a Program to Create the Sierpinski Triangle

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TI-83 Plus Activities 570

Using a Program to Create the SierpinskiTriangle

Setting up the Program

This program creates a drawing of a famous fractal, the Sierpinski

Triangle, and stores the drawing to a picture. To begin, press  ~ ~

1. Name the program SIERPINS, and then press Í. The program

editor is displayed.

Program

PROGRAM:SIERPINS

:FnOff :ClrDraw

:PlotsOff

:AxesOff

:0!Xmin:1!Xmax

:0!Ymin:1!Ymax Set viewing window.

:rand!X:rand!Y

:For(K,1,3000)

:rand!NBeginning of For group.

:If N1à3

:Then

:.5X!X

:.5Y!Y

:End

If/Then group