91 lines
2.1 KiB
Plaintext
91 lines
2.1 KiB
Plaintext
// Hollow Dodecahedron
|
|
// A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. This example shows constructing the individual faces of the dodecahedron and extruding inwards.
|
|
|
|
// Set units
|
|
@settings(defaultLengthUnit = in)
|
|
|
|
// Input parameters
|
|
// circumscribed radius
|
|
circR = 25
|
|
|
|
// Calculated parameters
|
|
// thickness of the dodecahedron
|
|
wallThickness = circR * 0.2
|
|
|
|
// angle between faces in radians
|
|
dihedral = acos(-(sqrt(5) / 5))
|
|
|
|
// inscribed radius
|
|
inscR = circR / 15 * sqrt(75 + 30 * sqrt(5))
|
|
|
|
// pentagon edge length
|
|
edgeL = 4 * circR / (sqrt(3) * (1 + sqrt(5)))
|
|
|
|
// pentagon radius
|
|
pentR = edgeL / 2 / sin(toRadians(36))
|
|
|
|
// Define a plane for the bottom angled face
|
|
plane = {
|
|
plane = {
|
|
origin = [
|
|
-inscR * cos(toRadians(toDegrees(dihedral) - 90)),
|
|
0,
|
|
inscR - (inscR * sin(toRadians(toDegrees(dihedral) - 90)))
|
|
],
|
|
xAxis = [cos(dihedral), 0.0, sin(dihedral)],
|
|
yAxis = [0, 1, 0],
|
|
zAxis = [sin(dihedral), 0, -cos(dihedral)]
|
|
}
|
|
}
|
|
|
|
// Create a regular pentagon inscribed in a circle of radius pentR
|
|
bottomFace = startSketchOn(XY)
|
|
|> polygon({
|
|
radius = pentR,
|
|
numSides = 5,
|
|
center = [0, 0],
|
|
inscribed = true
|
|
}, %)
|
|
|
|
bottomSideFace = startSketchOn(plane)
|
|
|> polygon({
|
|
radius = pentR,
|
|
numSides = 5,
|
|
center = [0, 0],
|
|
inscribed = true
|
|
}, %)
|
|
|
|
// Extrude the faces in each plane
|
|
bottom = extrude(bottomFace, length = wallThickness)
|
|
bottomSide = extrude(bottomSideFace, length = wallThickness)
|
|
|
|
// Pattern the sides so we have a full dodecahedron
|
|
bottomBowl = patternCircular3d(
|
|
bottomSide,
|
|
instances = 5,
|
|
axis = [0, 0, 1],
|
|
center = [0, 0, 0],
|
|
arcDegrees = 360,
|
|
rotateDuplicates = true,
|
|
)
|
|
|
|
// pattern the bottom to create the top face
|
|
patternCircular3d(
|
|
bottom,
|
|
instances = 2,
|
|
axis = [0, 1, 0],
|
|
center = [0, 0, inscR],
|
|
arcDegrees = 360,
|
|
rotateDuplicates = true,
|
|
)
|
|
|
|
// pattern the bottom angled faces to create the top
|
|
patternCircular3d(
|
|
bottomBowl,
|
|
instances = 2,
|
|
axis = [0, 1, 0],
|
|
center = [0, 0, inscR],
|
|
arcDegrees = 360,
|
|
rotateDuplicates = true,
|
|
)
|