Calculator User Manual

TI-83 Plus Activities 570

Using a Program to Create the Sierpinski

Triangle

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



. Name the program

SIERPINS

, and then press

. 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!N

Beginning of

For

group.

:If N



:Then

:.5X!X

:.5Y!Y

:End

Then

group