An archived instance of discourse for discussion in a Fractal Introductory Colloquium.

Spiral for final

mark

On the IFS quiz, you are asked to generate a spiral where $\theta=137.4^{\circ}$ and the scaling factor $r_1$ is the position of the first letter of your first name with a decimal point slapped in front and $r_2 = 1-r_1$. For example, my first name is Mark and "M" is the the $13^{\text{th}}$ letter of the alphabet so, for me, $r_1=0.13$ and $r_0 = 0.87$. Using the IFS Visualizer I was able to generate a spiral that looks something like so:

icrawfor

The first letter of my name is I, which is the eighth letter of the alphabet. So I used r1=.08 and r0=.92 to generate the following spiral:

dbrown8

Here we go.

First name is Daniel so 0.4 and 0.96

katyagreb

Using the name Katya:
K is the 11th letter
$r_0$ = 0.89
$r_1$ = 0.11
$t$ = 137.5

sjenkin1

This is it, the final problem of the final quiz-test-exam-thing

Here Is my Spiral for the Final, using the name Sam:

$r0= .81$
$r1=.19$

dprice1

My first name is James, and J is the 10th letter in the alphabet so my two variables are $.10$ and $.90$ when I plug them into the IFS Visualizer I get this picture

eolberdi

My first letter is E so $r_1$=.05 and $r_0$=.95 and my spiral looked like this

dcutchen

My name is Devin so my $r_1=0.04$ and my $r_0=0.96$ to generate this spiral.

afreundt

Anna:
$r_1=0.1$
$r_0=0.9$
$t= 137.5$

cjohns11

The first letter of my name is C.
C is the 3rd letter in the alphabet.
So, $r_0$ = 0.97 and $r_1$ = 0.03
$t$ is equal to 137.5 degrees

tmorse

So, the first letter of my first name is T, which is the 20th letter in the alphabet. That makes my r1 = 0.20 and my r0 = 0.80.

jhoneyc1

J=10, thus r0=.90 and r1=.10, resulting in the spiral below

cbozarth

Spiral

Cynthia begins with C, so $r_1$=.03 and $r_1$=.97

Chief_Keith

r1 = 0.11, for the K in Keith, and r0 = 1 - r1 which makes r0 = 0.89.

Vanderbilt

My name's Horace, and H is the 8th letter of the alphabet, so:

$r_0=0.92$
$r_1=0.08$

My first name starts with K so my $r_1=.11$ and my $r_0=.89$. The IFS visualizer gave me this:

hcary

The first letter of my name is h, the eighth letter of the alphabet, so $r_1=.8$ and $r_0=.2$ so

lgibbs

Name=Levi
First letter=L
$L=12$
$R_1=.12$
$R_0=1-.12=.88$
$t=137.5$