Texas Instruments TI-84 PLUS SILV Guidebook - Page 318

Using a Program to Create the Sierpinski Triangle, Setting up the Program, Program

Page 318 highlights

2. Press q 4 to select 4:ZDecimal. The display shows that two solutions may exist (points where the two functions appear to intersect). 3. Press q ~ 4 to select 4:SetFactors from the ZOOM MEMORY menu. Set XFact=10 and YFact=10. 4. Press q 2 to select 2:Zoom In. Use |, ~, }, and † to move the free-moving cursor onto the apparent intersection of the functions on the right side of the display. As you move the cursor, notice that the X and Y values have one decimal place. 5. Press Í to zoom in. Move the cursor over the intersection. As you move the cursor, notice that now the X and Y values have two decimal places. 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 / 5 to select 5:intersect. Press Í to select the first curve and Í to select 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 4 to select 4:ZDecimal to redisplay the original graph. 9. Press q. Select 2:Zoom In and repeat steps 4 through 8 to explore the apparent function 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  ~ ~ 1. Name the program SIERPINS, and then press Í. The program editor is displayed. Note: After you run this program, press y to turn on the axes in the graph screen. Program PROGRAM:SIERPINS :FnOff :ClrDraw :PlotsOff :AxesOff :0!Xmin:1!Xmax :0!Ymin:1!Ymax :rand!X:rand!Y Set viewing window. Chapter 17: Activities 311

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Chapter 17: Activities
311
2.
Press
q
4
to select
4:ZDecimal
. The display shows that two solutions may exist (points
where the two functions appear to intersect).
3.
Press
q ~
4
to select
4:SetFactors
from the
ZOOM MEMORY
menu. Set
XFact=10
and
YFact=10
.
4.
Press
q
2
to select
2:Zoom In
. Use
|
,
~
,
}
, and
to move the free-moving cursor onto
the apparent intersection of the functions on the right side of the display. As you move the
cursor, notice that the
X
and
Y
values have one decimal place.
5.
Press
Í
to zoom in. Move the cursor over the intersection. As you move the cursor, notice
that now the
X
and
Y
values have two decimal places.
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 /
5
to select
5:intersect
. Press
Í
to select the first curve and
Í
to select
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
4
to select
4:ZDecimal
to redisplay the original graph.
9.
Press
q
. Select
2:Zoom In
and repeat steps 4 through 8 to explore the apparent function
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
 ~ ~
1
. Name the program
SIERPINS
, and then press
Í
. The program editor is displayed.
Note
: After you run this program, press
y . † † † Í
to turn on the axes in the graph
screen.
Program
PROGRAM:SIERPINS
:FnOff :ClrDraw
:PlotsOff
:AxesOff
:0
!
Xmin:1
!
Xmax
:0
!
Ymin:1
!
Ymax
Set viewing window.
:rand
!
X:rand
!
Y