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11
Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to plot the Mandelbrot set, which is the set of all
points in the complex plane such that |zn|<2 for all n, where z
n
is the nth
iterate of 0 under
z
n+1=
z
n
2
+c. The graph is generated from a construction of
a fractal by means of an iterated system.
2. Create a new program with the name MANDEL. Enter the following program
and remember to press ENTER at the end of each line. If you make a mis
take, use the calculator’s editing features to correct the error.
3. Enter the following program:
1⇒J 1 STO ALPHA J ENTER
0⇒K 0 STO ALPHA K ENTER
Label A PRGM B 0 1 ALPHA A ENTER
K+1⇒K ALPHA K + 1 STO ALPHA K
ENTER
-2+4J÷100⇒M (-) 2 + 4 ALPHA J ÷ 1 0 0
STO ALPHA M ENTER
2–4K÷100⇒N 2 – 4 ALPHA K ÷ 1 0 0 STO
ALPHA N ENTER
M⇒X ALPHA M STO X/θ/T/n ENTER
N⇒Y ALPHA N STO ALPHA Y ENTER
1⇒C 1 STO ALPHA C ENTER
Label B PRGM B 0 1 ALPHA B ENTER
X
2
–Y
2
+M⇒RX/θ/T/n x
2
– ALPHA Y x
2
+
ALPHA M STO ALPHA R ENTER
2X×Y+N⇒S 2 X/θ/T/n × ALPHA Y + ALPHA N
STO ALPHA S ENTER
R
2
+S
2
⇒Z ALPHA R x
2
+ ALPHA S x
2
STO
ALPHA Z ENTER
If Z>4 Goto C PRGM B 0 3 ALPHA Z MATH
F 3 4 PRGM B 0 2 ALPHA C
ENTER
THE MANDELBROT SET
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