hill.scad

/*** ground ***/
ha = 33.3; // hill angle in degrees
hl = 1600; // hill length in cm
hw = 2821; // hill width in cm
hh = sin(ha)*hl; // hill height in cm
hd = cos(ha)*hl; // hill depth in cm

color("ForestGreen")
union() {
    
    // top
    translate([0,hd,hh])
    cube([hw,1000,1]);

    // hill
    rotate(a=ha, v=[1,0,0])
    cube([hw,hl,1]);

    // bottom
    translate([0,-1000,0])
    cube([hw,1000,1]);
}


/*** path ***/
pa = 9; // path angle in degrees
pl = hw; // path length in cm
pw = 200; // path width in cm
ph = 10; // path height (thickness) in cm
pr = sin(pa)*pl; // path rise

foo = tan(90-ha)*pr; // distance between the bottom of the path and the hill
bar = atan(foo/pl); // desired angle of the path on Z axis to stay tangent to the hill

color("SaddleBrown")
union() {
    
    // top segment
    translate([50,hd-pw-foo,hh-ph-pr]) // TODO fix this bunch of hacks
    rotate(a=[0,-pa,bar])
    cube([pl,pw,ph]);
    
    // bottom segment
    translate([50,hd-pw-foo,hh-ph-pr]) // TODO fix this bunch of hacks
    rotate(a=[0,pa,-bar])
    cube([pl,pw,ph]);
}

hill.stl