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main.go
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main.go
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package main
import (
"image/color"
"log"
"math"
"github.com/unixpickle/model3d/toolbox3d"
"github.com/unixpickle/model3d/render3d"
"github.com/unixpickle/model3d/model2d"
"github.com/unixpickle/model3d/model3d"
)
const (
EggHeight = 1.0
ZigZagInset = 0.03
ZigZagThickness = 0.01
NumRadialPlanes = 22
RadialPlaneZig = 0.03
)
func main() {
solid := model3d.JoinedSolid{
model3d.IntersectedSolid{
CreateEgg(),
model3d.JoinedSolid{
CreateZigZag(),
CreateRadialPlanes(),
},
},
// Stand
&model3d.Cylinder{
P1: model3d.Coord3D{},
P2: model3d.Z(0.3),
Radius: 0.2,
},
}
log.Println("Creating mesh...")
// Fix artifacts on the base
squeeze := &toolbox3d.AxisPinch{
Axis: toolbox3d.AxisZ,
Min: -0.01,
Max: 0.01,
Power: 0.25,
}
mesh := model3d.MarchingCubesConj(solid, 0.005, 8, squeeze)
// Only take the outside part of the mesh,
// since some crazy stuff is going on inside.
log.Println("Removing mesh internals...")
mesh = TakeOutsideMesh(mesh)
log.Println("Saving mesh...")
mesh.SaveGroupedSTL("egg.stl")
log.Println("Rendering mesh...")
render3d.SaveRandomGrid("rendering.png", mesh, 3, 3, 300, nil)
}
func CreateEgg() model3d.Solid {
radius := model2d.BezierCurve{
model2d.Coord{},
model2d.Y(0.6),
model2d.XY(1.0, 0.3),
model2d.X(1.0),
}
maxRadius := 0.0
for t := 0.0; t < 1.0; t += 0.001 {
maxRadius = math.Max(maxRadius, radius.EvalX(t))
}
return model3d.CheckedFuncSolid(
model3d.XY(-maxRadius, -maxRadius),
model3d.XYZ(maxRadius, maxRadius, EggHeight),
func(c model3d.Coord3D) bool {
rad := radius.EvalX(c.Z / EggHeight)
return c.XY().Norm() < rad
},
)
}
func CreateInnerEgg() model3d.Solid {
egg := CreateEgg()
egg2d := model3d.CrossSectionSolid(egg, 1, 0)
outerMesh := model2d.MarchingSquaresSearch(egg2d, 0.005, 8)
outerCollider := model2d.MeshToCollider(outerMesh)
solid := model2d.NewColliderSolidInset(outerCollider, ZigZagInset)
return model3d.RevolveSolid(solid, model3d.Z(1))
}
func CreateZigZag() model3d.Solid {
egg := CreateEgg()
egg2d := model3d.CrossSectionSolid(egg, 1, 0)
outerMesh := model2d.MarchingSquaresSearch(egg2d, 0.005, 8)
outerCollider := model2d.MeshToCollider(outerMesh)
innerSolid := model2d.NewColliderSolidInset(outerCollider, ZigZagInset)
innerMesh := model2d.MarchingSquaresSearch(innerSolid, 0.005, 8)
innerCollider := model2d.MeshToCollider(innerMesh)
startY := innerSolid.Max().Mid(innerSolid.Min()).Y
zigZagMesh := model2d.NewMesh()
for _, directionY := range []float64{1.0, -1.0} {
ray := &model2d.Ray{
Origin: model2d.XY(outerCollider.Min().X-1, startY),
Direction: model2d.X(1.0),
}
rc, ok := outerCollider.FirstRayCollision(ray)
if !ok {
panic("failed to find edge point")
}
ray.Origin = ray.Origin.Add(ray.Direction.Scale(rc.Scale))
ray.Direction.Y = directionY
zigTo := func(scale float64) {
c1 := ray.Origin.Add(ray.Direction.Scale(scale))
zigZagMesh.Add(&model2d.Segment{ray.Origin, c1})
ray.Origin = c1
ray.Direction.X *= -1
if ray.Origin.Y > startY {
// For the top half of the egg, it looks better
// if the inward zigs slope at less than a 45
// degree angle.
if ray.Direction.X > 0 {
height := outerCollider.Max().Y - outerCollider.Min().Y
fracToTop := (ray.Origin.Y - startY) / (height / 2)
ray.Direction.Y = directionY * (1 - fracToTop)
} else {
ray.Direction.Y = directionY
}
}
}
zigDone := func() {
// Scale must be large enough to leave bounds.
zigTo(0.3)
}
for {
collision, ok := innerCollider.FirstRayCollision(ray)
if !ok {
zigDone()
break
}
zigTo(collision.Scale)
collision, ok = outerCollider.FirstRayCollision(ray)
if !ok {
zigDone()
break
}
zigTo(collision.Scale)
}
}
zigZagMesh.AddMesh(zigZagMesh.MapCoords(func(c model2d.Coord) model2d.Coord {
return model2d.XY(-c.X, c.Y)
}))
bg := model2d.BoundsRect(zigZagMesh)
model2d.RasterizeColor("zig_zag.png", []interface{}{
bg, outerMesh, innerMesh, zigZagMesh,
}, []color.Color{
color.Gray{Y: 0xff},
color.RGBA{B: 0xff, A: 0xff},
color.RGBA{G: 0xff, A: 0xff},
color.RGBA{R: 0xff, A: 0xff},
}, 200.0)
solid := model2d.NewColliderSolidHollow(
model2d.MeshToCollider(zigZagMesh),
ZigZagThickness/2,
)
return model3d.RevolveSolid(solid, model3d.Z(1))
}
func CreateRadialPlanes() model3d.Solid {
egg := CreateEgg()
baseSolid := model3d.CheckedFuncSolid(
model3d.XYZ(-(ZigZagThickness+RadialPlaneZig), egg.Min().Y, 0),
model3d.XYZ(ZigZagThickness+RadialPlaneZig, egg.Max().Y, egg.Max().Z),
func(c model3d.Coord3D) bool {
modZ := math.Mod(c.Z+100.0, RadialPlaneZig*2)
if modZ > RadialPlaneZig {
modZ = RadialPlaneZig*2 - modZ
}
return math.Abs(c.X-modZ) < ZigZagThickness
},
)
res := model3d.JoinedSolid{}
for i := 0; i < NumRadialPlanes; i++ {
angle := (math.Pi * 2 / NumRadialPlanes) * float64(i)
res = append(res, model3d.TransformSolid(
model3d.Rotation(model3d.Z(1), angle),
baseSolid,
))
}
return res
}
func TakeOutsideMesh(m *model3d.Mesh) *model3d.Mesh {
res := model3d.NewMesh()
min := m.Min()
var minTriangle *model3d.Triangle
m.Iterate(func(t *model3d.Triangle) {
if t.Min().Z == min.Z {
minTriangle = t
}
})
queue := []*model3d.Triangle{minTriangle}
for len(queue) > 0 {
t := queue[0]
m.Remove(t)
res.Add(t)
queue = queue[1:]
for _, n := range m.Neighbors(t) {
queue = append(queue, n)
m.Remove(n)
}
}
return res
}