Using A Program To Create The Sierpinski Triangle - Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book

2. Press q
to select
4
where the two functions appear to intersect).
3. Press q ~
to select
4
.
YFact=10
4. Press q
to select
2
the apparent intersection of the functions on the right side of the display. As you move the
cursor, notice that the
5. Press Í to zoom in. Move the cursor over the intersection. As you move the cursor, notice
that now the and
X
6. Press Í to zoom in again. Move the free-moving cursor onto a point exactly on the
intersection. Notice the number of decimal places.
7. Press y /
to select
5
the second curve. To guess, move the trace cursor near the intersection. Press Í. What
are the coordinates of the intersection point?
8. Press q
to select
4
9. Press q. Select
intersection on the left side of the display.

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  ~ ~
Í. The program editor is displayed.
: After you run this program, press y . † † † Í to turn on the axes in the graph
Note
screen.
Program
PROGRAM:SIERPINS
:FnOff :ClrDraw
:PlotsOff
:AxesOff
:0!Xmin:1!Xmax
:0!Ymin:1!Ymax
:rand!X:rand!Y
. The display shows that two solutions may exist (points
4:ZDecimal
from the
4:SetFactors
. Use |, ~, }, and † to move the free-moving cursor onto
2:Zoom In
and values have one decimal place.
X Y
values have two decimal places.
Y
. Press Í to select the first curve and Í to select
5:intersect
to redisplay the original graph.
4:ZDecimal
and repeat steps 4 through 8 to explore the apparent function
2:Zoom In
Set viewing window.
menu. Set
ZOOM MEMORY
. Name the program
1 SIERPINS
Chapter 17: Activities
and
XFact=10
, and then press
311