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drawings.txt
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drawings.txt
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// Another Clifford - reviewed
scale = 500 in
scaleInv = .002 in
a = -1.4 * scaleInv in
b = 1.6 * scaleInv in
c = 1.1 in
d = 0.7 in
rnd = @point(uniform(left, right), uniform(bottom, top)) in
trajectory = p ->
solve1(
const(p -> -p + scale * point(
sin(a * y(p)) + c * cos(a * x(p)),
sin(b * x(p)) + d * cos(b * y(p)) + .5227
)),
p
) in
trajectory(point(0, 0))
// Grid of brownians - reviewed
"r = 2 in
l = 100 in
gridSize = 100 in
rndPoint = @point(uniformDiscrete(left, right, gridSize), uniformDiscrete(bottom, top, gridSize)) in
brownian = p -> take(l,integrate(p, @point(uniform(-r, r), uniform(-r, r)))) in
flatMap(rndPoint, brownian)"
// Grid of symmetric brownians - reviewed
"r = 3 in
l = 100 in
gridSize = 100 in
symm = e -> flatMap(e, p ->
cons(p, cons(-p, cons(point(-x(p), y(p)), cons(point(x(p), -y(p)), empty)))
)) in
translatedSymm = p -> e -> map(symm(map(e, x -> -p + x)), x -> p + x) in
rndPoint = @point(uniformDiscrete(left, right, gridSize), uniformDiscrete(bottom, top, gridSize)) in
brownian = p -> take(l, integrate(p, @point(uniform(-r, r), uniform(-r, r)))) in
flatMap(rndPoint, p -> translatedSymm(p, brownian(p)))"
// Brownian carpet
gridSize = 200 in
r = 6 in
xs = take(20, integrate(left, const(gridSize))) in
ys = take(10, integrate(bottom, const(gridSize))) in
points = flatMap(xs, x -> map(ys, y -> point(x, y))) in
symm = e -> flatMap(e, p ->
[p, -p, point(-x(p), y(p)), point(x(p), -y(p))]
) in
brownian = symm(integrate(point(0, 0), @point(uniform(-r, r), uniform(-r, r)))) in
flatMap(brownian, p -> map(points, q -> p + q))
// Grid of squared and rounded brownians
l = 200 in
gridSize = 200 in
symm = e -> flatMap(e, p ->
cons(p, cons(-p, cons(point(-x(p), y(p)), cons(point(x(p), -y(p)), empty)))
)) in
translatedSymm = p -> e -> map(symm(map(e, x -> -p + x)), x -> p + x) in
rndPoint = @point(uniformDiscrete(left, right, gridSize), uniformDiscrete(bottom, top, gridSize)) in
r = 20 in
v = .3 in
w = v / r in
arcLength =floor(.5 * PI / w) in
arc = angle -> take(arcLength, @polar(const(r * w), integrate(angle, const(w)))) in
segmentLength = floor(r / v) in
segment = p -> take(segmentLength, const(v * p)) in
vs = uniformFrom(8, [
arc(0), arc(PI / 2), arc(PI), arc(3 * PI / 2),
segment(point(1, 0)), segment(point(0, 1)), segment(point(-1, 0)), segment(point(0, -1))
]) in
evo = p -> take(floor(1 + l / v), integrate(p, flatMap(vs, x -> x))) in
flatMap(rndPoint, p -> translatedSymm(p, evo(p)))
Grid of rombuses
r = .01 in
s = 60 in
g = 150 in
a = 0 in b = 1 in c = -1 in d = 0 in
mid = point(g/2, g/2) in
singleVectorField = p -> point(
a * x(p) + b * y(p),
c * x(p) + d * y(p)
) in
pointSign = p -> (abs(x(p)) + abs(y(p))) * point(sign(x(p)), sign(y(p))) in
pointMod = p -> -mid + point(
x(p) % g,
y(p) % g
) in
vectorField = p -> r * (singleVectorField(pointSign(pointMod(p)))) in
points = @point(uniform(left, right), uniform(bottom, top)) in
line = p -> solve1(
const(vectorField),
p
) in
flatMap(points, p -> take(s, line(p)))
// Rotational-symmetric brownian - reviewed
n = 8 in
r = 3 in
a = 1 in b = 1 in c = 1 in d = 1 in
ps = integrate(point(0, 0), @point(uniform(-r, r), uniform(-r, r))) in
angles = n -> take(n, integrate(0, const(2 * PI / toDbl(n)))) in
rotate = angle -> p -> point(
x(p) * cos(angle) +-y(p) * sin(angle),
x(p) * sin(angle) + y(p) * cos(angle)
) in
nAngles = angles(n) in
flatMap(ps, p -> map(angles(n), a -> rotate(a, p)))
// Spiral and then 2nd order brownian
r = .02 in
w = .01 in
r2 = .02 in
spiral = @polar(integrate(0, const(r)), integrate(0, const(w))) in
speed1 = mapCons(uniform(1000, 3000), n -> o -> take(floor(n), map(spiral, v -> p -> v - p))) in
speed2v = integrate(point(0, 0), @point(uniform(-r2, r2), uniform(-r2, r2))) in
speed2 = take(1000, map(speed2v, v -> p -> v)) in
speed = concat(speed1, speed2) in
solve1(
speed,
point(0, 0)
)
// Broken
"r = 2 in
w = .01 in
r2 = .02 in
spiral = @polar(integrate(0, const(r)), integrate(0, const(w))) in
spiralAcc = map(derive2(spiral), p -> (x -> v -> p - v)) in
tangentAcc = const(x -> v -> point(0, 0)) in
spiralAccs = map(uniform(1000, 3000), n -> take(floor(n), spiralAcc)) in
tangentAccs = map(uniform(800, 1000), n -> take(floor(n), tangentAcc)) in
acc = flatMap(zipWith(spiralAccs, tangentAccs, x -> y -> concat(x, y)), z -> z) in
solve2(
acc,
point(0, 0),
point(0, 0)
)
"
// Broken
"r = 2 in
w = 0.01 in
r2 = .02 in
c = 5 in
spiral = @polar(integrate(0, const(r)), integrate(0, const(w))) in
spiralAcc = map(derive2(spiral), p -> (x -> v -> versor(p - v))) in
tangentAcc = const(x -> v -> point(0, 0)) in
spiralAccs = map(uniform(3000, 6000), n -> take(floor(n), spiralAcc)) in
tangentAccs = map(uniform(800, 1000), n -> take(floor(n), tangentAcc)) in
acc = flatten(zipWith(spiralAccs, tangentAccs, x -> y -> concat(x, y))) in
solve2(
acc,
point(0, 0),
point(0, 0)
)
"
// Parallel lines with circular angles
"
k = 10 in
step = 1 in
radius = 20 in
angularSpeedFactor = 1 in
straightStepLength = 100 in
maxStraightSteps = 8 in
numberOfParallelLines = 4 in
distanceBetweenParallelLines = 10 in
angle = 3 * PI / 2 in
rotate = v -> alpha -> point(x(v) * cos(alpha) - y(v) * sin(alpha), x(v) * sin(alpha) + y(v) * cos(alpha)) in
rotation = v -> map(
take(1 + floor(angle * radius / angularSpeedFactor), integrate(0, const(angularSpeedFactor / radius))),
a -> angularSpeedFactor * rotate(v, -a)
) in
s = n -> v -> concat(take(floor(n), const(v)), rotation(v)) in
versors = flatten(const([point(step, 0), point(0, step), point(-step, 0), point(0, -step)])) in
lengths = uniformFrom(maxStraightSteps, map(integrate(3, const(1)), k -> straightStepLength * k + 2 * radius)) in
speed = flatten(zipWith(lengths, versors, s)) in
flatten(mapWithDerivative(
x -> v -> take(numberOfParallelLines, integrate(x, const(distanceBetweenParallelLines *rotate(versor(v), pi / 2)))),
integrate(point(0, 0), speed)
))
"
// Straight lines with spiral angles
k = 2 in
step = 1 in
radius = 5 in
spiralDistances = .2 in
numberOfRotations = 3 in
angularSpeedFactor = .2 in
straightStepLength = 50 in
maxStraightSteps = 32 in
angle = 3 * PI / 2 in
rotationIterations = numberOfRotations * (1 + floor(angle * radius / angularSpeedFactor)) in
rotate = v -> alpha -> spiralDistances * alpha * point(x(v) * cos(alpha) - y(v) * sin(alpha), x(v) * sin(alpha) + y(v) * cos(alpha)) in
rotation = v -> map(
take(rotationIterations, integrate(0, const(angularSpeedFactor / radius))),
a -> angularSpeedFactor * rotate(v, -a)
) in
s = n -> v -> concat(take(floor(n), const(v)), rotation(v)) in
versors = flatten(const([point(step, 0), point(0, step), point(-step, 0), point(0, -step)])) in
lengths = uniformFrom(maxStraightSteps, map(integrate(3, const(1)), k -> straightStepLength * k + 2 * radius)) in
speed = flatten(zipWith(lengths, versors, s)) in
integrate(point(0, 0), speed)
// Perlin noise 1
rndPoint = @point(uniform(left, right), uniform(bottom, top)) in
f = 60 in
v = 2 in
n <- noise in
r <- uniform(1, 256) in
line = p -> solve1(
const(q -> polar(v, 6 * (2^.5) * PI * n((1 / f) * q))),
p
) in
flatMap(
rndPoint,
p -> take(300, line(p))
)
// Horizontal perlin noise lines
---------
a = 300 in
f = 300 in
v = 1 in
length = 3000 in
d = 30 in
yVar = 3 in
mapCons(octaveNoise, on -> notUsed ->
n = x -> y -> on(8, .4, point(x, y)) in
flatMap(
range(bottom-100, top+100, d),
startY -> take(length, map(
integrate(left, const(v)),
x -> point(x, startY + a * n(x/f, startY / (f * yVar)))
))
)
)
// Perlin Mountains
---------
a = 300 in
f = 300 in
v = 1 in
length = 3000 in
d = 5 in
yVar = 1 in
mapCons(octaveNoise, on -> notUsed ->
n = on(8, .4) in
flatMap(
range(bottom - 100, top + 100, d),
startY -> take(length, map(
integrate(left, const(v)),
x -> point(x, startY + a * n(point(x/f, startY / (f * yVar))))
))
)
)
Abstract lines (perin noise )
---------
f = 600 in
v = 2 in
size = 100 in
r = 5 in
rndPoint = integrate(point(0, 0), @point(uniform(-r, r), uniform(-r, r))) in
coord = d -> toDbl(floor(d / size)) * size in
mod = p -> point(coord(x(p)), coord(y(p))) in
mapCons(noise, n -> notUsed ->
vectorField = q -> polar(v, 6 * (2^.5) * PI * n(x(mod(q))/f, y(mod(q))/f)) in
line = p -> solve1(
@(vectorField),
p
) in
flatMap(
rndPoint,
p -> take(50, line(p))
)
)
// Symmetric abstract lines
---------
f = 600 in
v = 2 in
size = 30 in
r = 10 in
rndPoint = integrate(point(0, 0), @point(uniform(-r, r), uniform(-r, r))) in
coord = d -> toDbl(floor(d / size)) * size in
mod = p -> point(coord(x(p)), coord(y(p))) in
symm = e -> flatMap(e, p -> [p, -p, point(-x(p), y(p)), point(x(p), -y(p))]) in
symm(
mapCons(noise, n -> notUsed ->
vectorField = q -> polar(v, 6 * (2^.5) * PI * n(point(x(mod(q))/f, y(mod(q))/f))) in
line = p -> solve1(
const(vectorField),
p
) in
flatMap(
rndPoint,
p -> take(30, line(p))
)
))
// Nested brownians
---------
rndPoint = @point(uniform(left, right), uniform(bottom, top)) in
f = 300 in
f2 = .1 in
v = 2 in
a = 1/1000 in
b = 1/1000 in
c = 5 in
k = 50 in
n1 <- noise in
n2 <- noise in
n3 <- noise in
line = p ->
q = point(n1(f2 * p), n2(f2 * p)) in
solve1(
const(q -> polar(v, k * (2^.5) * PI * n3((1/f)*q))),
p
) in
flatMap(
rndPoint,
p -> take(300, line(p))
)
// Circle + noise
---------
octaves = 4 in
persistence = 5 in
v = .0002 in
mapCons(octaveNoise, on -> notUsed ->
n = on(octaves, persistence) in
map(
integrate(0, const(v)),
w -> polar(300 + 100 *n(polar(1, w)), w)
)
)
// Spiral with noise
---------
octaves = 4 in
persistence = .001 in
f = 50 in
k = 40 in
w = .02 in
r = .2 in
e = mapCons(octaveNoise, on -> notUsed ->
n = on(octaves, persistence) in
zipWith(
integrate(0, const(r)),
integrate(0, const(w)),
r -> w -> polar(r + k * n((1 / f) * polar(r, w)), w)
)
) in
integrate(point(0, 0), map(derive(e), v -> v))
Explosive normal turbolence
---------
p = 0.01 in
turbolenceStrength = 10 in
turbolenceLength = 3000 in
nonTurbolenceLength = 100 in
randomWalkStep = 2 in
turbolenceX = normal(1, turbolenceStrength) in
turbolence = @point(turbolenceX, turbolenceX) in
flatMap(
uniform(0, 1),
d -> if (
d < p,
take(turbolenceLength, turbolence),
take(nonTurbolenceLength, @(point(0, 0)))
)
)
Pulsating normal turbolence
---------
a = 200 in
p = 0.01 in
turbolenceStrength = 50 in
turbolenceLength = 10000 in
nonTurbolenceLength = 100 in
randomWalkStep = 2 in
time = integrate(0, const(1)) in
f = x -> smoothstep(0, turbolenceLength/2, x) in
phi = x -> 1 - f(abs(x - turbolenceLength/2)) in
scalingFactor = map(time, phi) in
turbolenceX = scalingFactor * normal(1, turbolenceStrength) in
turbolence = @point(turbolenceX, turbolenceX) in
flatten(const(take(floor(turbolenceLength), turbolence)))
Random walk with pulsatingTurbolence
---------
a = 200 in
p = 0.01 in
turbolenceStrength = 10 in
turbolenceLength = 30000 in
nonTurbolenceLength = 100 in
randomWalkStep = 3 in
time = integrate(0, const(1)) in
f = x -> smoothstep(0, turbolenceLength/2, x) in
phi = x -> 1 - f(abs(x - turbolenceLength/2)) in
scalingFactor = map(time, phi) in
turbolenceX = scalingFactor * normal(1, turbolenceStrength) in
turbolence = @point(turbolenceX, turbolenceX) in
randomWalk = integrate(
point(0, 0),
@point(
uniform(-randomWalkStep, randomWalkStep),
uniform(-randomWalkStep, randomWalkStep)
)
) in
pulsatingTurbolence = flatMap(
uniform(0, 1),
d -> if (
d < p,
take(floor(turbolenceLength), turbolence),
take(nonTurbolenceLength, const(point(0, 0)))
)
) in
randomWalk + pulsatingTurbolence
Random walk with pulsating step size
---------
p = 0.03 in
turbolenceStrength = 10 in
turbolenceLength = 10000 in
nonTurbolenceLength = 100 in
randomWalkStep = 2 in
upwardBias = 0.3 in
time = integrate(0, const(1)) in
f = x -> smoothstep(0, turbolenceLength/2, x) in
phi = x -> 1 - f(abs(x - turbolenceLength/2)) in
scalingFactor = map(time, phi) in
turbolenceX = scalingFactor * normal(1, turbolenceStrength) in
pulsatingTurbolence = flatMap(
uniform(0, 1),
d -> if (
d < p,
take(floor(turbolenceLength), turbolenceX),
take(nonTurbolenceLength, const(1))
)
) in
e = integrate(
point(0, bottom),
pulsatingTurbolence * @point(
uniform(-randomWalkStep, randomWalkStep),
uniform(-randomWalkStep, randomWalkStep + upwardBias)
)
) in
parallel(take(50, const(e)))
// This takes 39 seconds in predicates unification!
Minimised (essential the point at the end):
a = 1 in
x = a * a * a * a * a * a * point(0, 0) in
const(point(0, 0))
// Disturbed straight lines with spiral angles
---------
k = 2 in
step = 1 in
radius = 5 in
spiralDistances = .2 in
numberOfRotations = 20 in
angularSpeedFactor = .2 in
straightStepLength = 50 in
maxStraightSteps = 32 in
turbolenceStrength = 30 in
octaves = 4 in
persistence = .3 in
f = 100 in
angle = 3 * PI / 2 in
rotationIterations = numberOfRotations * (1 + floor(angle * radius / angularSpeedFactor)) in
rotate = v -> alpha -> spiralDistances * alpha * point(x(v) * cos(alpha) - y(v) * sin(alpha), x(v) * sin(alpha) + y(v) * cos(alpha)) in
rotation = v -> map(
take(rotationIterations, integrate(0, const(angularSpeedFactor / radius))),
a -> angularSpeedFactor * rotate(v, -a)
) in
s = n -> v -> concat(take(floor(n), const(v)), rotation(v)) in
versors = flatten(const([point(step, 0), point(0, step), point(-step, 0), point(0, -step)])) in
lengths = uniformFrom(maxStraightSteps, map(integrate(3, const(1)), k -> straightStepLength * k + 2 * radius)) in
speed = flatten(zipWith(lengths, versors, s)) in
mapCons(map(octaveNoise, n -> n(octaves, persistence)), n1 -> noise2 ->
mapWithDerivative(
p -> v -> p + turbolenceStrength * (n1((1/f) * p)/norm(v)) * point(y(v), -x(v)),
integrate(point(0, 0), speed)
)
)
Grid
---------
gridSize = 50 in
toEdge = p -> [point(0, y(p)), point(x(p), 0)] in
points = @point(uniform(left, right), uniform(top, bottom)) in
inCell = f -> p ->
pInCell = point(x(p) % gridSize, y(p) % gridSize) in
pCell = p - pInCell in
map(f(pInCell), p-> p + pCell)
in
flatmap(
points,
inCell(toEdge)
)
]
Perturbed grid
---------
gridSize = 100 in
noiseStrength = 100 in
freq = 100 in
freq2 = 50 in
octaves = 10 in
persistence = .2 in
anglerange = 900 in
toEdge = p -> [point(0, y(p)), point(x(p), 0)] in
points = @point(uniform(left, right), uniform(top, bottom)) in
inCell = f -> p ->
pInCell = point(x(p) % gridSize, y(p) % gridSize) in
pCell = p - pInCell in
map(f(pInCell), p-> p + pCell)
in
flatMap(octaveNoise, on ->
n = on(octaves, persistence) in
map(flatmap(
points,
inCell(toEdge)
), p -> p + polar(noisestrength * n((1/freq2) * p), anglerange * pi * n((1/freq) * p)))
)
Carpet of symmetric brownians
---------
r = 3 in
l = 100 in
gridSize = 100 in
symm = e -> flatMap(e, p ->
cons(p, cons(-p, cons(point(-x(p), y(p)), cons(point(x(p), -y(p)), empty)))
)) in
translatedSymm = p -> e -> map(symm(map(e, x -> -p + x)), x -> p + x) in
rndPoint = @point(uniformDiscrete(left, right, gridSize), uniformDiscrete(bottom, top, gridSize)) in
brownian = p -> take(l, integrate(p, @point(uniform(-r, r), uniform(-r, r)))) in
flatMap(rndPoint, p -> translatedSymm(p, brownian(p)))
Perin Noise
---------
rndPoint = @point(uniform(left, right), uniform(bottom, top)) in
f = 60 in
v = 2 in
n <- noise in
r <- uniform(1, 256) in
line = p -> solve1(
const(q -> polar(v, 6 * (2^.5) * PI * n((1 / f) * q))),
p
) in
flatMap(
rndPoint,
p -> take(300, line(p))
)
Perlin Noise Horizontal lines
---------
a = 300 in
f = 300 in
v = 1 in
length = 3000 in
d = 30 in
yVar = 3 in
on <- octaveNoise in
n = x -> y -> on(8, .4, point(x, y)) in
flatMap(
range(bottom-100, top+100, d),
startY -> take(length, map(
integrate(left, const(v)),
x -> point(x, startY + a * n(x/f, startY / (f * yVar)))
))
)
Other spirographs
---------
grid = gridSize -> @point(
uniformDiscrete(left, right, gridSize),
uniformDiscrete(bottom, top, gridSize)
) in
grid = gridSize -> flatMap(
range(bottom, top, gridSize),
y -> map(
range(left, right, gridSize),
x -> point(x, y)
)
) in
onPoints = points -> drawings -> length ->
flatten(zipWith(
points,
drawings,
p -> drawing -> take(length, map(drawing, q -> q + p))
))
in
circle = r -> w ->
@polar(const(r), integrate(0, const(w)))
in
w1s = uniformDiscrete(3, 100, 2) in
w2s = uniformDiscrete(-10, 10, 1) in
w3s = uniformDiscrete(-10, 10, 1) in
rs = uniformDiscrete(10, 30, 1) in
r3s = uniformDiscrete(1, 50, 1) in
mainCircles = k -> map(w1s, w -> circle(10, k * w)) in
secondaryCircles = k ->zipWith(
w2s,
rs,
w -> r -> circle(r, k * w)
) in
thirdCircles = k -> zipWith(
w3s,
r3s,
w -> r -> circle(r, k * w)
) in
circles = k ->
zipWith(
zipWith(
mainCircles(k),
secondaryCircles(k),
c1 -> c2 -> c1 + c2
),
thirdCircles(k),
c12 -> c3 -> c12 + c3
)
in
//onPoints(grid(100), circles)
k = .01 in
length = 20 in
onPoints(grid(150), circles(k), floor(length / k))
---------
grid = gridSize -> @point(
uniformDiscrete(left, right, gridSize),
uniformDiscrete(bottom, top, gridSize)
) in
grid = gridSize -> flatMap(
range(bottom, top, gridSize),
y -> map(
range(left, right, gridSize),
x -> point(x, y)
)
) in
onPoints = points -> drawings -> length ->
flatten(zipWith(
points,
drawings,
p -> drawing -> take(length, map(drawing, q -> q + p))
))
in
circle = alpha -> r -> w ->
@polar(const(r), integrate(alpha, const(w)))
in
w1s = uniformDiscrete(-3, 3, 1) in
w2s = uniformDiscrete(-30, 30, 1) in
w3s = uniformDiscrete(-30, 30, 1) in
w4s = uniformDiscrete(-30, 30, 1) in
w5s = uniformDiscrete(-3, 3, 1) in
r1s = uniformDiscrete(10, 50, 1) in
r2s = uniformDiscrete(10, 25, 1) in
r3s = uniformDiscrete(5, 10, 1) in
r4s = uniformDiscrete(2, 5, 1) in
r5s = uniformDiscrete(1, 2, 1) in
circles = k ->
zipWith(
uniform(0, 2 * pi),
w1s,
w2s,
w3s,
w4s,
w5s,
r1s,
r2s,
r3s,
r4s,
r5s,
alpha -> w1 -> w2 -> w3 -> w4 -> w5 -> r1 -> r2 -> r3 -> r4 -> r5 ->
circle(alpha, r1, k * w1) +
circle(alpha, r2, k * w2) +
circle(alpha, r3, k * w3) +
circle(alpha, r4, k * w4) +
circle(alpha, r4, k * w5)
)
in
k = .01 in
length = 20 in
onPoints(grid(150), circles(k), floor(length / k))
---------
grid = gridSize -> @point(
uniformDiscrete(left, right, gridSize),
uniformDiscrete(bottom, top, gridSize)
) in
grid = gridSize -> flatMap(
range(bottom, top, gridSize),
y -> map(
range(left, right, gridSize),
x -> point(x, y)
)
) in
onPoints = points -> drawings -> length ->
flatten(zipWith(
points,
drawings,
p -> drawing -> take(length, map(drawing, q -> q + p))
))
in
circle = alpha -> r -> w ->
@polar(const(r), integrate(alpha, const(w)))
in
w1s = uniformDiscrete(-3, 3, 1) in
w2s = uniformDiscrete(-30, 30, 2) in
w3s = uniformDiscrete(-30, 200, 10) in
w4s = uniformDiscrete(-200, 30, 21) in
w5s = uniformDiscrete(-30, 30, 5) in
r1s = uniformDiscrete(10, 50, 1) in
r2s = uniformDiscrete(10, 25, 1) in
r3s = uniformDiscrete(5, 10, 1) in
r4s = uniformDiscrete(2, 5, 1) in
r5s = uniformDiscrete(1, 2, 1) in
circles = k ->
zipWith(
uniform(0, 2 * pi),
w1s,
w2s,
w3s,
w4s,
w5s,
r1s,
r2s,
r3s,
r4s,
r5s,
alpha -> w1 -> w2 -> w3 -> w4 -> w5 -> r1 -> r2 -> r3 -> r4 -> r5 ->
circle(alpha, r1, k * w1) +
circle(alpha, r2, k * w2) +
circle(alpha, r3, k * w3) +
circle(alpha, r4, k * w4) +
circle(alpha, r4, k * w5)
)
in
k = .01 in
length = 20 in
onPoints(grid(150), circles(k), floor(length / k))
Mountains
---------
a = 300 in
xFreq = 500 in
octaves = 16 in
persistence = .5 in
v = 2 in
length = floor((right - left) / v) in
d = 2 in
minY = bottom - 100 in
on <- octaveNoise in
n = on(octaves, persistence) in
flatMap(
range(minY, 1000, d),
startY ->
kx = .001 * (startY - minY) in
ky = 1 / (1 + 0.001 * (startY - minY+50)) in
take(length, map(
integrate(left, const(v)),
x -> point( x, ky * (startY + a * n(point(kx * x/xFreq, startY / xFreq))))
))
)
A lot of small spirographs
---------