A vessel with a spout and a handle used for serving tea and boiling water on a stovetop

// Teapot
// A vessel with a spout and a handle used for serving tea and boiling water on a stovetop
// Categories: Maker

// Set units
@settings(defaultLengthUnit = mm)

// Define parameters
teapotHeight = 130
beltlineDiameter = 160
wallThickness = 6
outletHeight = 26
spoutDiameter = 12

// Sketch the path of the teapot spout
spoutPath = sketch(on = XZ) {
  line1 = line(start = [var -64mm, var 26mm], end = [var -79.05mm, var 26mm])
  arc2 = arc(start = [var -107.24mm, var 66.26mm], end = [var -79.05mm, var 26mm], center = [var -79.05mm, var 56mm])
  coincident([line1.end, arc2.end])
  line3 = line(start = [var -107.24mm, var 66.26mm], end = [var -101.48mm, var 82.09mm])
  coincident([arc2.start, line3.start])
  arc4 = arc(start = [var -101.48mm, var 82.09mm], end = [var -124.46mm, var 121.89mm], center = [var -129.67mm, var 92.35mm])
  coincident([line3.end, arc4.start])
  // horizontal(arc2)
}

// Sweep a hollow spout
sketch001 = sketch(on = offsetPlane(YZ, offset = -beltlineDiameter / 2.5)) {
  circle1 = circle(start = [var 6.03mm, var 26mm], center = [var 0.03mm, var 26mm])

  circle2 = circle(start = [var 4.53mm, var 26.01mm], center = [var 0.03mm, var 26mm])
  radius(circle1) == 6mm
  radius(circle2) == 4.5
  coincident([circle2.center, circle1.center])
}
region001 = region(point = [-5.9674972mm, 26mm], sketch = sketch001)
spout = sweep(region001, path = spoutPath)

// Model the perimeter of the teapot body, to be used to trim the handle so that it fits snug to the body
sketch002 = sketch(on = YZ) {
  line1 = line(start = [var 0mm, var 0mm], end = [var 32mm, var 0mm])
  arc2 = arc(start = [var 32mm, var 0mm], end = [var 76.19mm, var 52mm], center = [var 32mm, var 44.78mm])
  coincident([line1.end, arc2.start])
  arc3 = arc(start = [var 76.19mm, var 52mm], end = [var 53.33mm, var 118.18mm], center = [var -127.41mm, var 18.72mm])
  coincident([arc2.end, arc3.start])
  arc4 = arc(start = [var 53.33mm, var 118.18mm], end = [var 40mm, var 130mm], center = [var 30.09mm, var 105.39mm])
  coincident([arc3.end, arc4.start])
  line5 = line(start = [var 40mm, var 130mm], end = [var 0mm, var 130mm])
  coincident([arc4.end, line5.start])
  line6 = line(start = [var 0mm, var 130mm], end = [var 0mm, var 0mm])
  coincident([line5.end, line6.start])
}
region002 = region(segments = [sketch002.line1, sketch002.arc2])
tools = revolve(region002, axis = Y)

// Sketch the path of the handle
handlePath = sketch(on = XZ) {
  line1 = line(start = [var 0mm, var 26mm], end = [var 76mm, var 26mm])
  arc2 = arc(start = [var 76mm, var 26mm], end = [var 88.98mm, var 32.64mm], center = [var 76mm, var 42.01mm])
  coincident([line1.end, arc2.start])
  arc3 = arc(start = [var 88.98mm, var 32.64mm], end = [var 117.37mm, var 95.75mm], center = [var -50.62mm, var 133.38mm])
  coincident([arc2.end, arc3.start])
  arc4 = arc(start = [var 117.37mm, var 95.75mm], end = [var 107.1mm, var 110.55mm], center = [var 105.43mm, var 98.43mm])
  coincident([arc3.end, arc4.start])
  arc5 = arc(start = [var 107.1mm, var 110.55mm], end = [var 59.09mm, var 112.36mm], center = [var 74.03mm, var -129.04mm])
  coincident([arc4.end, arc5.start])
  line6 = line(start = [var 59.09mm, var 112.36mm], end = [var 0mm, var 108.7mm])
  coincident([arc5.end, line6.start])
}

// Sweep the handle
sketch003 = sketch(on = YZ) {
  arc1 = arc(start = [var 10mm, var 29.5mm], end = [var -10mm, var 29.5mm], center = [var 0mm, var -3.08mm])
  arc2 = arc(start = [var 10mm, var 22.5mm], end = [var 10mm, var 29.5mm], center = [var 8.93mm, var 26mm])
  coincident([arc1.start, arc2.end])
  arc3 = arc(start = [var -10mm, var 22.5mm], end = [var 10mm, var 22.5mm], center = [var 0mm, var 55.08mm])
  coincident([arc2.start, arc3.end])
  arc4 = arc(start = [var -10mm, var 29.5mm], end = [var -10mm, var 22.5mm], center = [var -8.93mm, var 26mm])
  coincident([arc3.start, arc4.end])
}
region003 = region(segments = [sketch003.arc1, sketch003.arc2])
handle = sweep(region003, path = handlePath)
  |> subtract(tools)

// Create a cutout in the body for the spout outlet
sketch004 = sketch(on = YZ) {
  circle1 = circle(start = [var 6mm, var 26mm], center = [var 0mm, var 26mm])
}
region004 = region(segments = [sketch004.circle1])
spoutHole = extrude(region004, length = -beltlineDiameter / 2)

// Model the body of the teapot
sketch005 = sketch(on = YZ) {
  line1 = line(start = [var 0mm, var 0mm], end = [var 32mm, var 0mm])
  arc2 = arc(start = [var 32mm, var 0mm], end = [var 76.19mm, var 52mm], center = [var 32mm, var 44.78mm])
  coincident([line1.end, arc2.start])
  arc3 = arc(start = [var 76.19mm, var 52mm], end = [var 53.33mm, var 118.18mm], center = [var -127.41mm, var 18.72mm])
  coincident([arc2.end, arc3.start])
  arc4 = arc(start = [var 53.33mm, var 118.18mm], end = [var 40mm, var 130mm], center = [var 30.09mm, var 105.39mm])
  coincident([arc3.end, arc4.start])
  arc5 = arc(start = [var 40mm, var 130mm], end = [var 38.26mm, var 124.28mm], center = [var 38.88mm, var 127.22mm])
  coincident([arc4.end, arc5.start])
  arc6 = arc(start = [var 47.33mm, var 118.18mm], end = [var 38.26mm, var 124.28mm], center = [var 35.24mm, var 109.99mm])
  coincident([arc5.end, arc6.end])
  arc7 = arc(start = [var 70.19mm, var 52mm], end = [var 47.33mm, var 118.18mm], center = [var -64.29mm, var 42.59mm])
  coincident([arc6.start, arc7.end])
  arc8 = arc(start = [var 32mm, var 6mm], end = [var 70.19mm, var 52mm], center = [var 27.03mm, var 48.98mm])
  coincident([arc7.start, arc8.end])
  line9 = line(start = [var 32mm, var 6mm], end = [var 0mm, var 6mm])
  coincident([arc8.start, line9.start])
  line10 = line(start = [var 0mm, var 6mm], end = [var 0mm, var 0mm])
  coincident([line9.end, line10.start])
  diameter(arc6) == 29.21mm
}
region005 = region(segments = [sketch005.line1, sketch005.arc2])
body = revolve(region005, axis = Y)
  |> subtract(tools = [spoutHole])

// Join each component of the teapot and add an appearance
[body, handle, spout]
  |> appearance(color = "#1f9896", metalness = 40, roughness = 30)


Teapot

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