The first thing that I decided to try and make was a hyper cube. I wasn’t to familiar with how the language worked so I ended up just using a bunch of hardcoded moveto commands. I had some trouble figuring out if the push and pop command worked or if I was just using it incorrectly, so I end up retracing a lot of lines that I would have rather popped back to .

to hyperCube =

nsides = 10

radius = 0.1

moveto 0,0,0

size = 5

for i in 0..4

move size

yaw 90

end

pitch 90

move size

pitch 90

for i in 0..4

move size

yaw 90

end

pitch -90

move size

yaw -90

move size

pitch -90

move size

yaw 90

move size

pitch 90

move size

pitch 90

move -size

outerCubeDiag = 3

moveto 0,0,0moveto -3,-3,3

moveto 0,0,0

moveto 5,0,0

moveto 8,-3,3

moveto -3,-3,3

moveto 0, 0, 0

moveto 0,0,-5

moveto -3,-3,-8

moveto -3,-3,3

moveto 0,0,0

moveto 0,5,0

moveto -3,8,3

moveto -3,-3,3

moveto 8,-3,3

moveto 8,8,3

moveto 5,5,0

moveto 8,8,3

moveto -3, 8, 3

moveto -3,8,-8

moveto 0,5,-5

moveto -3,8,-8

moveto -3,-3,-8

moveto 8,-3,-8

moveto 5,0,-5

moveto 5,5,-5

moveto 8,8,-8

moveto 8,-3,-8

moveto 8, -3, 3

moveto 8,8,3

moveto 8,8,-8

moveto -3,8,-8end

hyperCube

tubeNext I decided to mess around with the fibonacci numbers a bit. Some of the other representations of them that came up were cool ,but I thought the pyramid was the most interesting. You can find so many images and shapes in the pyramid as you move around and change the perspective. In a couple instances the pyramid sort of looks like it is coming out of the screen.

to fibPyramid =

nsides = 30

radius = 0.1

fib = 0

fibStart = 0

fibNext = 1for t to 25

fib = fibStart + fibNext

fibStart = fibNext

fibNext = fibmoveto fib, 0 , 0

moveto 0, fib, 0

moveto 0, 0, fib

end

end

fibPyramid

After the I messed around with the fibonacci numbers I decided to turn towards different math equations. I started simple with changing the coordinates by different sin value as it approaches a full circle.

to begin =

x = 0.1

y = 0.1

–moveto 0,0,0

nsides = 30

radius = 0.05

for t to 361

x = sin 2*t

y = sin 3*t

z = sin 7*t

moveto x,y,z

end

end

begin

tube

Once I had the hang of things a bit I decided to find some equations that I thought might look cool. This is utilizing the equation for a tear drop. I tried messing around with the area to create a 3D tear but it didn’t look as good to me.

to tearDrop =

x = 0.1

y = 0.1

–moveto 0,0,0

nsides = 30

radius = 0.05

for t to 361

x = cos tfor m to 7

y = (sin t) * (sin t//2) ^ m

a = (4*(3.14)^0.5) * (0.5*(3+m))//(3+0.5*m)moveto x,y,0

endend

endtearDrop

–fracture = 1–tube

–dotssurface 361, 7

This is another equation I found that looked cool. My attempt at a Chrysanthemum.

to chrysanthemum =

nsides = 30

radius = 0.05for u to 361*2

r = 5 * (1 + sin(11* u // 5)) – 4 * (sin (17 *u // 3))^4 * sin (2 *(cos(3* u))^8 – 28 * u)

x = r * cos u

y = r * sin umoveto x,y,r

end

endchrysanthemum

–tube

–dotssurface 361,2

The last one I made isn’t anything specific I know the name of. I was messing around with a few spiral equations for a while and it eventually turned into this.

to spiralStrip =

nsides = 30

radius = 1

r = 5

step = 5

z = 3

a = 0

for a to 10

for t to 361r = ((a^2) * 1.61)^0.5

x = r * cos t

y = r * sin t

moveto a*x, a*y, t

end

end

endspiralStrip

–fracture = 1tube

–surface 361, 10

–dots–surface 361,2

–revolve 0,0,1,180

Had a lot of fun with this assignment!

p.s. I tried messing with some fractal equations and I don’t know if it is possible, but I think it would be cool if you could switch into a mode that dealt with more continuous functionality. Maybe another side window to script in that manipulates your geometry.

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