Chris' ATLAS projects

L1: Lindenmayer Systems (L-systems)

TASK ONE: BASIC TURTLE

GISTS

I

T

Pentagon

Circle

TASK TWO: FIX THE EXAMPLE L-SYS

GitHub

n=0

n=1

n=2

n=3

TASK THREE: MY OWN SYSTEMS

System No.1 "Triangles":

GitHub

VOCAB:

F= Forward(10);

+ = Right(120); - = Left(120);

AXIOM: "F-F-F"

RULES: ('F', "F-F+F+F-F")

n=1: F-F+F+F-F-F-F+F+F-F-F-F+F+F-F

n=2: "F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F"

n=3: "F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F-F-F+F+F-F-F-F+F+F-F+F-F+F+F-F+F-F+F+F-F-F-F+F+F-F"

System No.2 'Subway':

GitHub

VOCAB:

F= Forward(18);

B = Right(45), Forward(18);

+ = Right(45); - = Left(45);

[ = push(); ] =pop()

AXIOM: "B"

RULES: ('F', "FF[B]"); ('B', "F[-BF]F[+FB]F")

n=1: F[-BF]F[+FB]F

n=2: FF[B][-F[-BF]F[+FB]FFF[B]]FF[B][+FF[B]F[-BF]F[+FB]F]FF[B]

n=3: FF[B]FF[B][F[-BF]F[+FB]F][-FF[B][-F[-BF]F[+FB]FFF[B]]FF[B][+FF[B]F[-BF]F[+FB]F]FF[B]FF[B]FF[B][F[-BF]F[+FB]F]]FF[B]FF[B][F[-BF]F[+FB]F][+FF[B]FF[B][F[-BF]F[+FB]F]FF[B][-F[-BF]F[+FB]FFF[B]]FF[B][+FF[B]F[-BF]F[+FB]F]FF[B]]FF[B]FF[B][F[-BF]F[+FB]F]

System No.3 "Hexagons":

GitHub

VOCAB:

F= Forward(30);

B = Right(60), Forward(30);

+ = Right(60); - = Left(60);

[ = push(); ] =pop()

AXIOM: "F+F"

RULES: ('F', "FB+F[F-F]-F[BB]FFF"); ('B', "B+B")

n=1: "FB+F[F-F]-F[BB]FFF+FB+F[F-F]-F[BB]FFF"

n=2: "FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF+FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF"

n=3: "FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+B+B+FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF[B+B+B+BB+B+B+B]FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF+FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+B+B+FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF[B+B+B+BB+B+B+B]FB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFB+B+FB+F[F-F]-F[BB]FFF[FB+F[F-F]-F[BB]FFF-FB+F[F-F]-F[BB]FFF]-FB+F[F-F]-F[BB]FFF[B+BB+B]FB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFFFB+F[F-F]-F[BB]FFF"

TASK FOUR: FABRICATE

LASER ETCHING

Left: "Subways" on Cedar

Right: "Triangles" on Acrylic

EXTRA CREDIT: PROBABLILISTIC L-SYSTEMS

PROBABLILISTIC SYSTEM ONE:

GitHub
AXIOM:

"B+B"

RULES:

float randomNum = random(1,10);
float moveDist = randomNum;
float rotateAngle = 10*randomNum;

('F', "FF[B]");
('B', "FF[+B][-B]F");

OUTPUT

PROBABLILISTIC SYSTEM TWO:

GitHub
AXIOM:

"B+B"

RULES:

float moveDist = 10;
float rotateAngle = 40;

('F', "FF[B]");
('B', "FF[+B][-B]F");

float P = random(1);

for (int i = 0; i < current.length(); i++) {
char c = current.charAt(i);

if (P < .33) {
// Apply replacement rules based on the current character
if (c == 'F') {
replacement = "F[B]"; } // Apply the rule for 'F'
else if (c == 'B') {
replacement = "F[-B]"; } // Apply the rule for 'B'
else {
replacement = String.valueOf(c); // No rule, keep the character unchanged
}
}

else if (P > .66) {
if (c == 'F') {
replacement = "FF[B]"; } // Apply the rule for 'F'
else if (c == 'B') {
replacement = "FF[+B][-B]F"; } // Apply the rule for 'B'
else {
replacement = String.valueOf(c); // No rule, keep the character unchanged
}
}
else {
replacement = String.valueOf(c); // No rule, keep the character unchanged
}

OUTPUT