$fn = 100;

h = 10;

module block() {
  translate([-h, -h])
  cube([2*h, 2*h, h]);
};

module cut() {
  translate([0, -h/2, h/2])
  rotate([45, 0, 0])
  translate([-1.5*h, -1.5*h])
  cube([3*h, 3*h, h]);
};

module pyramid() {
  difference() {
    block();
    cut();
    rotate(90) cut();
    rotate(180) cut();
    rotate(270) cut();
  }
};
  
//polyhedron(
//    points=[
//        [h,h,0], [h,-h,0], [-h,-h,0], [-h,h,0], [0,0,h]
//    ],
//    faces = [
//        [1,4,0], [2,4,1], [2,3,4], [4,3,0],
//        [0,3,2,1]
//    ]
//);

module quarter_pyramid() {
    difference() {
        pyramid();
        rotate([0,0,45]) translate([-2*h, 0, -h]) cube([h*4,h*4,h*4]);
        rotate([0,0,-45]) translate([-2*h, -4*h, -h]) cube([h*4,h*4,h*4]);
        rotate([0,0,-45]) translate([0, -4*h, -h]) cube([h*4,h*4,h*4]);
    }
};

//quarter_pyramid();

module bottom() {
    children();
};

module top() {
    translate([0,0,2*h]) rotate([180,0,0])
    children();
};

module north() {
    translate([0,h,h]) rotate([90,90,0])
    children();
};

module south() {
    rotate([0,0,180]) north()
    children();
};

module east() {
    translate([h,0,h]) rotate([90,0,0]) rotate([0,-90,0])
    children();
};

module west() {
    rotate([0,0,180]) east()
    children();
};

module pointy() {
    translate([0,0,-2*h]) top() pyramid();
};

module partA() {
    translate([0,-h,-h]) rotate([180,-90,90]) quarter_pyramid();
};

module partB() {
    translate([0,-h,-h]) rotate([180,-90,-90]) quarter_pyramid();
};

module partC() {
    translate([-h,h,-h]) rotate([0,180,90]) {
      union() {
        partA();
        partB();
      }
    }
};

module partD() {
    translate([0,h,-h]) rotate([90, 0, 0]) partC();
}

module partE() {
    rotate([0,0,180]) partD();
}

module puzzle_piece() {
    pyramid();
    pointy();
    partA();
    partB();
    partC();
    partD();
    partE();
}

module cutout() {
  translate([0, -2.8, 0])
  rotate([45, 45, 0])
  translate([-h, -h, 0])
  translate([0, 4.2, 4.2])
  cube([2*h, 2*h, 2*h]);
}

module puzzle_part(){
difference() {
  rotate([0,45,0]) puzzle_piece();
  cutout();
  translate([0, 2*h, 0])
  cutout();

  mirror([0, 180, 0])
  translate([4, -15, h])
    rotate([45, 0, 45])
  block();

  translate([4, -15, h])
    rotate([45, 0, 45])
  block();
}}

//
module solved_puzzle(){
bottom() puzzle_piece();
top() puzzle_piece();
north() puzzle_piece();
south() puzzle_piece();
east() puzzle_piece();
west() puzzle_piece();
}

module step_0(){
bottom() puzzle_piece();
south() puzzle_piece();
west() puzzle_piece();
}

module step_1(){
bottom() puzzle_piece();
south() puzzle_piece();
east() puzzle_piece();
west() puzzle_piece();
}

module step_2(){
bottom() puzzle_piece();
south() puzzle_piece();
east() puzzle_piece();
west() puzzle_piece();
north() puzzle_piece();
}

step_2();