This is a python library for pattern cutting.
A class for 2d cartesian coordinates. Its used for point coordinates and also for 2d vectors
from src.geometry.Vector import Vector
origin = Vector(0,0)
origin.label = "Origin"You can use the render function to generate an SVG representation of the geometry
from src.render import render
render(origin)
A Shape object is defined by multiple points which are joined by line
segemnts to create a complicated line or shape.
from src.geometry.Shape import Shape
square = Shape([
Vector(0, 0),
Vector(100, 0),
Vector(100, 100),
Vector(0, 100),
Vector(0, 0)]
).with_label("a square").with_style("polygon")
render(square)
Using the style property, a polyline can be rendered as many different
kinds of shapes.
from layout import topToBottom
shape = Shape([Vector(0, 0), Vector(100, 50), Vector(200, -50), Vector(300, 0)])
render(
*topToBottom(
shape.with_style("line").with_label("line"),
shape.with_style("dashed").with_label("dashed"),
shape.with_style("arrow").with_label("arrow"),
shape.with_style("dashed_arrow").with_label("dashed_arrow"),
shape.with_style("pointset").with_label("pointset"),
shape.with_style("polygon").with_label("polygon"),
shape.with_style("tape").with_label("tape"),
shape.with_style("ruler").with_label("ruler")
)
)
You can draw measurement markers along a polyline:
render(
square,
*square.evenlySpacedMeasurements()
)
Or automatically detect corners:
corners = square.corners()
render(
square,
*[corner.with_label("Here is a corner!") for corner in corners]
)
You can slice out a certain portion of a line:
from layout import process
from src.geometry.Group import Group
P = square.at(25).point.with_label("P")
Q = square.at(175).point.with_label("Q")
render(
*process(
Group(
square,
P,
Q,
),
Group(
square.slice(25, 175),
P, Q
)
)
)
The circle class can be used to generate regular polygons with so many sides they look like a circle:
from src.geometry.Circle import Circle
circle = Circle(Vector(0, 0), 100)
triangle = circle.polyline(3)
hexagon = circle.polyline(6)
almostCircle = circle.polyline(50)
from layout import sideBySide
render(*sideBySide(triangle, hexagon, almostCircle))
We can put this together to get good approximations of measurements along a curve:
arc = circle.polyline(100).slice(0, 150)
render(
arc,
*arc.evenlySpacedMeasurements()
)
from src.geometry.Shape import dashed
from src.geometry.bezier import BezierCurve
p0 = Vector(0,0).with_label("p0")
p1 = Vector(0, 50).with_label("p1")
p2 = Vector(50, 50).with_label("p2")
p3 = Vector(50, 100).with_label("p3")
mycurve = BezierCurve(p0, p1, p2, p3)
render(
mycurve.demo()
)
myshape = Shape([Vector(0,0), Vector(0, 200), Vector(200,250), Vector(250, 150), Vector(300 , 300)])
render(
myshape.with_style("dashed"),
myshape.interpolate(),
)
This makes a lot of points apear, so it might be a good idea to resample the curve at lower resolution:
interpolated = myshape.interpolate()
downsampled = interpolated.resample(25)
render(
*topToBottom(
interpolated.with_style("pointset"),
downsampled.with_style("pointset").with_label("Re-sampled")
)
)
Demonstrating different curve speeds
gen = [myshape]
for i in range(0, 20):
next = myshape.interpolate((i+1) / 4)
gen.append(next)
render(*gen)
We can find the closest point on a polyline to any given coordinate:
from src.geometry.Shape import dashed_arrow
shape = arc
X = Vector(90, 100)
Y = shape.closestPoint(X)
render(
shape,
X.with_label("X"),
Y.with_label("Y"),
dashed_arrow(X, Y)
)
You can use closest points in other methods too, such as slice
shape = arc
P = Vector(90, 100).with_label("P")
Q = Vector(100, 0).with_label("Q")
sliced = shape.slice(P, Q)
render(
*process(
Group(
P,
Q,
dashed_arrow(P, shape.at(P).point),
shape.with_label("Original"),
),
Group(
sliced.with_label("sliced"),
*sliced.points, P, Q
)
)
)
Here are two shapes
a = Shape([Vector(-100, 200), Vector(200, -100)])
b = arc
render(a.with_label("a simple shape"), b.with_label("replacement"))
We can replace a region of one with the other
render(a.replace(b))
Tweening lets you morph one shape smoothly into another:
from src.geometry.tween import tween, tween_demo
a = Shape([Vector(-100, 200), Vector(200, -100)])
b = arc
render(tween_demo(a, b))
A circle becoming a square,
render(tween_demo(square, circle.polyline(100)))
import math
from src.spirograph import spiro
angle_over_length = lambda x : math.radians(x*.1)
spiral = spiro(angle_over_length, 10000)
render(spiral)
shape = Shape([Vector(0,0), Vector(100, 0)])
shape.addDart(Vector(50, 0), 50, 20)
render(shape)
shape = Shape([Vector(0,0), Vector(0, 100)])
shape.addDart(Vector(0, 50), 50, 20)
render(shape)
Collision detection is powered by the qwertyquerty/collision library.
from src.geometry.Shape import rectangle
example_shape = rectangle(0, 0, 100, 100)
example_points = [Vector(50, 50), Vector(150, 50)]
for p in example_points:
if example_shape.point_is_inside(p):
p.label = "Collision!"
else:
p.label = "No collision!"
render(example_shape, *example_points)
Lets try something a bit trickier:
from aldrich.tailored_skirt_block import tailored_skirt_block
from src.point_grid import point_grid_over_shape
example_shape = tailored_skirt_block()["back"]
points = []
for point in point_grid_over_shape(example_shape, margin=17):
if example_shape.point_is_inside(point):
points.append(point)
render(example_shape.with_style("all_guides"), *points)
Turning a polygon into triangles:
render(example_shape.earclip_mesh())data:application/object;charset=us-ascii;base64,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
Sewing up the darts:
mesh = example_shape.earclip_mesh()
sides = example_shape.sides()
mesh.add_seam(sides[7], sides[8].reverse())
mesh.add_seam(sides[4], sides[5].reverse())
render(mesh)data:application/object;charset=us-ascii;base64,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
One of the main applications of this library is to create outfits for East London drag queen Die Lemma.
A dress block for Die was created and digitised into this library:
from DieLemmaDressBlock import DieLemmaDressBlock
render(DieLemmaDressBlock)
Drawing parallels to a complex polyline:
render(
DieLemmaDressBlock,
DieLemmaDressBlock.parallel(50),
*[dashed_arrow(P, Q) for P,Q in zip(DieLemmaDressBlock.points, DieLemmaDressBlock.parallel(50).points)],
*DieLemmaDressBlock.points
)
or drawing inside the shape instead of outside,
render(
DieLemmaDressBlock,
DieLemmaDressBlock.parallel(-25),
*[dashed_arrow(P, Q) for P,Q in zip(DieLemmaDressBlock.points, DieLemmaDressBlock.parallel(-25).points)],
*DieLemmaDressBlock.points
)
One application of this library is quickly producing pattern blocks from Winnfred Aldrich’s book. To do that, we have to be able to use describe body measurements:
from src.sizing.BodyMeasurements import example_body_measurements
print(example_body_measurements)Size 24.74583333333333:
waist = 725.0mm (-297.4mm)
hips = 900.0mm (-338.6mm)
waist_to_hip = 265.0mm (+39.9mm)
body_rise = 340.0mm (+8.3mm)
bust = 1182.4mm
low_waist = 1122.4mm
back_width = 417.2mm
chest = 414.7mm
shoulder = 140.1mm
neck_size = 443.2mm
dart = 108.2mm
top_arm = 379.5mm
wrist = 196.6mm
ankle = 276.6mm
high_ankle = 246.6mm
nape_to_waist = 435.5mm
front_shoulder_to_waist = 462.4mm
armscye_depth = 240.2mm
waist_to_knee = 616.9mm
waist_to_floor = 1103.7mm
sleeve_length = 608.4mm
sleeve_length_jersey = 568.4mm
cuff_size_shirts = 241.9mm
cuff_size_two_piece_sleeve = 153.4mm
trouser_bottom_width = 251.9mm
jeans_bottom_width = 210.0mm
from TheClassicTailoredTrouserBlock import TheClassicTailoredTrouserBlock
render(TheClassicTailoredTrouserBlock())
from aldrich.tailored_skirt_block import tailored_skirt_block
render(tailored_skirt_block())
Here it is with the seam and hems marked,
from aldrich.tailored_skirt_block import tailored_skirt_pattern
render(tailored_skirt_pattern())Warning: creating french seam on two lines with different length: 612.9753811041546 and 613.3124368403252
I’m planning a long flared skirt.
render(tailored_skirt_pattern(skirt_length=940, flare=1.4))Warning: creating french seam on two lines with different length: 958.9489488731247 and 959.2860046092952
Warning: creating french seam on two lines with different length: 958.9489488731247 and 959.2860046092952
Turn a 2d shape into 3d one (and back again to render it):
import numpy as np
square3d = square.to_3D()
render(
*[
square3d.rotate(pitch=angle).isometric() for angle in np.arange(0, 6.28, 0.3)
]
)
Tweening radially,
shape_1 = Shape([Vector(0,0), Vector(50, -100)])
shape_2 = Shape([Vector(0,0), Vector(50, -15), Vector(50, -200)])
render(*[
tween(shape_1, shape_2, phase).to_3D().rotate(pitch=phase * 3.14).isometric() for phase in np.arange(0, 1, .05)
])
For cloth simulation, we need to create a triangular mesh:
from src.geometry.Mesh import mesh_grid
render(mesh_grid(300, 300))data:application/object;charset=us-ascii;base64,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
Interupting the mesh with a new point:
my_mesh = mesh_grid(300, 300)
my_mesh.interupt_point((105, 115))
render(my_mesh)data:application/object;charset=us-ascii;base64,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
I want to sew the sides of this together to make a tube.O
tube = mesh_grid(300, 300)
left_side = Shape([Vector(0,0), Vector(0, 250)])
right_side = Shape([Vector(250,0), Vector(250, 250)])
tube.add_seam(left_side, right_side)
render (tube)data:application/object;charset=us-ascii;base64,v 0 0 0.0
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v 100 0 0.0
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v 150 125 0.0
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v 0 150 0.0
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v 250.0 0.0 0.0
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v 250.0 40.0 0.0
v 0.0 50.0 0.0
v 250.0 50.0 0.0
v 0.0 60.0 0.0
v 250.0 60.0 0.0
v 0.0 70.0 0.0
v 250.0 70.0 0.0
v 0.0 80.0 0.0
v 249.99999999999997 80.0 0.0
v 0.0 90.0 0.0
v 250.0 90.0 0.0
v 0.0 100.0 0.0
v 250.0 100.0 0.0
v 0.0 110.0 0.0
v 250.0 110.0 0.0
v 0.0 120.0 0.0
v 250.0 120.0 0.0
v 0.0 130.0 0.0
v 250.0 130.0 0.0
v 0.0 140.0 0.0
v 250.0 140.0 0.0
v 0.0 150.0 0.0
v 250.0 150.0 0.0
v 0.0 160.0 0.0
v 250.0 160.0 0.0
v 0.0 170.0 0.0
v 250.0 170.0 0.0
v 0.0 180.0 0.0
v 250.0 180.0 0.0
v 0.0 190.0 0.0
v 250.0 190.0 0.0
v 0.0 200.0 0.0
v 250.0 200.0 0.0
v 0.0 210.0 0.0
v 250.0 210.0 0.0
v 0.0 220.0 0.0
v 250.0 220.0 0.0
v 0.0 230.0 0.0
v 250.0 230.0 0.0
v 0.0 240.0 0.0
v 250.0 240.0 0.0
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f 185 183 94
f 186 184 110
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I would like a skirt. To get one, I’ve measured my body a little bit:
joelle_waist = 725
joelle_hips = 900
joelle_waist_to_hips = 265I’ve also decided a few dimensions of the skirt I’d like to make:
skirt_length_below_the_hips = 380
skirt_bottom_circumference = 1200Here is a graph plotting the circumference of the skirt over height:
from src.geometry.Shape import measurement_from_y_axis
skirt_circumference_graph = Shape()
origin = Vector(0,0)
waist_point = Vector(joelle_waist, 0)
hips_point = Vector(joelle_hips, -joelle_waist_to_hips)
hem_point = Vector(skirt_bottom_circumference, -joelle_waist_to_hips - skirt_length_below_the_hips)
skirt_circumference_graph.lineTo(waist_point)
skirt_circumference_graph.lineTo(hips_point)
skirt_circumference_graph.lineTo(hem_point)
render(
skirt_circumference_graph.close_against_y_axis(),
origin,
measurement_from_y_axis(waist_point),
measurement_from_y_axis(hips_point),
measurement_from_y_axis(hem_point)
)
This is the circumference of the skirt over elevation. But I think what I need (in order to get the scrolled hem I’m looking for) is the radius. To keep it simple I’ll imagine the skirt as a circlular prism with radius varying across its length.
skirt_radius_graph = Shape([Vector(p.x / (2*math.pi), p.y) for p in skirt_circumference_graph.points])
render(skirt_radius_graph)
This is a reasonable approximation for the silhouette of the skirt.
Now I’ll add the scroll
skirt_radius_graph.continue_with_arc(175, 2*math.pi)
render(skirt_radius_graph)
Here’s what it should look like in 3d:
render(*[
skirt_radius_graph.to_3D().rotate(pitch=angle).isometric() for angle in np.arange(0, math.pi*2, .1)
])
Now I’ve found a silhouette I like, I’ll unwrap this by length onto the y-axis.
final_radius_graph = Shape()
for w in np.arange(0, skirt_radius_graph.length, 10):
x = skirt_radius_graph.pointAlong(w).x
p = Vector(x, -w)
final_radius_graph.lineTo(p)
render(final_radius_graph.close_against_y_axis())
Next we transform this back into a circumference graph
final_circumference_graph = Shape(
[Vector(x = p.x * 2*math.pi, y=p.y) for p in final_radius_graph.points]
)
render(final_circumference_graph.close_against_y_axis())
Wow mad. Finally, lets subdivide this into 10 pattern pieces:
pattern_shape = final_circumference_graph.close_against_y_axis().subdivide_by_width(10)
render(pattern_shape)
Now I just need to add some seam & hem allowances. While I’m at it, I’ll make a pattern for the boning channel.
from src.geometry.Shape import rectangle
pattern_piece = Group(
shape=pattern_shape,
right_side = pattern_shape.sides()[0].with_style("line"),
left_side = pattern_shape.sides()[2].with_style("line").reverse(),
right_allowance = pattern_shape.sides()[0].allowance(-20),
left_allowance = pattern_shape.sides()[2].allowance(-20),
center_line = pattern_shape.vertical_center_line(),
)
boning = rectangle(pattern_shape.x_center() - 6, pattern_shape.bottom, 12, pattern_shape.height).with_label("12mm boning channel")
render(
*sideBySide(
pattern_piece,
Group(
boning,
boning.allowance(-12)
)
)
)
Here is a demo of the construction in 3D:
pattern_piece_3d = pattern_piece.to_3D()
pieces = []
for phase in np.arange(0, 1, 1.0/10.0):
pieces.append(pattern_piece_3d.translate(z=1000).rotate(pitch=phase * 2 * math.pi).isometric())
from src.geometry.seam_lines import seam_lines
all = []
for i in range(len(pieces)):
a = pieces[i]
b = pieces[(i+1)%len(pieces)]
all.append(a)
all.append(seam_lines(a["left_side"], b["right_side"]))
render(*all)