/Games/Sphere8.foocad

Takes a (roughly) spherical object, and cuts it into an eighth, with a flattened base, so that it can be printed wihout overhangs.

You can use this within your own models in two ways :

extend Sphere8 and override the sphere method
Call the static method Eighth8.eighth( shape, diameter, flatten )

FooCAD Source Code

import java.lang.Integer

class Sphere8 : Model {
    
    @Custom
    var diameter = 80

    @Custom
    var flatten = 10

    @Custom
    var round = false

    fun ball() : Shape3d {
        return Sphere(diameter/2).sides(12)
    }

    fun build( pieceNumber : int ) : Shape3d {
        return Sphere8.eighth( ball(), diameter, flatten, pieceNumber )
    }

    @Piece
    fun piece0() = build(0)

    @Piece
    fun piece1() = build(1)

    @Piece
    fun piece2() = build(2)

    override fun build() = piece0()

    static fun eighth( shape : Shape3d, diameter : double, flatten : double, pieceNumber : int)
        = eighth( shape, diameter, flatten, pieceNumber, false )

    static fun eighth( shape : Shape3d, diameter : double, flatten : double, pieceNumber : int, round : bool) : Shape3d {
        val angle = (pieceNumber % 4) * 90
        val shape2 = if (pieceNumber >= 4) {
            shape.rotateX(180).rotateZ(angle)
        } else {
            shape.rotateZ(angle)
        }
        return Sphere8.eighth( shape2, diameter, flatten, round )
    }

    static fun eighth( shape : Shape3d, diameter : double, flatten : double, round : bool) : Shape3d {
        val angle = Degrees.atan( Math.sqrt(2) )
        val flatMask = Cube( diameter*2 ).centerXY()

        val result = (shape / Cube( diameter ) )
            .rotateY(-45).rotateX(90-angle)
            .translateZ(-flatten) / flatMask

        val coneR = diameter*0.40
        val coneH = diameter*0.29-flatten*0.5
        println( "diameter = $diameter coneH = $coneH" )
        val cone = (
            Circle( coneR ).extrudeToPoint( coneH ).mirrorZ() +
            Cylinder( diameter/2, coneR )
        ).translateZ(coneH-flatten*0.5) // Cube(1000).centerY().centerZ().color("Green")

        return result / cone
    }
}