/ examples / fidget_ball_fern_leaf.scad
fidget_ball_fern_leaf.scad
  1  use <polyline_join.scad>
  2  use <hollow_out.scad>
  3  use <util/dedup.scad>
  4  use <turtle/lsystem2.scad>
  5  use <experimental/ptf_c2sphere.scad>
  6  
  7  $fn = 48;
  8  
  9  radius = 36;
 10  thickness = 2;
 11  spacing = 3;
 12  drill_angle = 38;
 13  support_thickness = 1;
 14  
 15  engraved = false; // [true, false], warning: previewing is very slow when it's true.
 16  
 17  fidget_ball_fern_leaf(radius, thickness, spacing, drill_angle, support_thickness);
 18  
 19  module fidget_ball_fern_leaf(radius, thickness, spacing, drill_angle, support_thickness) {
 20  	module fern_ball(radius, thickness, fern_n, thickness_scale) {
 21  		function fern(n = 8, angle = 4, leng = 1, heading = 0, start = [0, 0]) = 
 22  			let(
 23  				axiom = "EEEA",
 24  				rules = [
 25  					["A", "[++++++++++++++EC]B+B[--------------ED]B+BA"],
 26  					["C", "[---------EE][+++++++++EE]B+C"],
 27  					["D", "[---------EE][+++++++++EE]B-D"]
 28  				]
 29  			)
 30  			lsystem2(axiom, rules, n, angle, leng, heading, start, forward_chars = "ABCDE");  
 31  			
 32  		r = radius * sin(drill_angle / 2) / 2;
 33  		fern = [
 34  			for(line = dedup(fern(n = fern_n)))
 35  			[
 36  				ptf_c2sphere(line[0] + [r, 0], radius * 0.99),
 37  				ptf_c2sphere(line[1] + [r, 0], radius * 0.99)
 38  			]
 39  		];
 40  
 41  		module ferns(n) {
 42  			a_step = 360 / n;
 43  			for(i = [0:n - 1]) {
 44  				rotate(i * a_step)
 45  				for(line = fern) {
 46  				    polyline_join(line)
 47  					    sphere(thickness * thickness_scale / 2, $fn = 5);
 48  				}
 49  			}
 50  		}
 51  
 52  		module fern_ball() {
 53  			ferns(4);
 54  			
 55  			mirror([1, 0, 0])
 56  			mirror([0, 0, 1])
 57  				ferns(4);
 58  				
 59  			mirror([0, 1, 1])
 60  				ferns(2);
 61  
 62  			mirror([0, 1, 0])
 63  			mirror([0, 1, 1])
 64  				ferns(2);
 65  		}		
 66  
 67          if(engraved) {
 68  			difference() {
 69  				render() 
 70  				difference() {
 71  					sphere(radius);
 72  					sphere(radius - thickness);
 73  				}
 74  				
 75  				fern_ball();
 76  			}
 77  		}
 78          else {
 79  			color("black") 
 80  			difference() {
 81  				sphere(radius);
 82  				sphere(radius - thickness);
 83  			}
 84  			
 85  			fern_ball();
 86  		}
 87  	}
 88  
 89  	r_step = thickness + spacing;
 90  	radiuses = [radius, radius - r_step, radius - r_step * 2];
 91  
 92  	fidget_ball_drill_support(radius, thickness, spacing, support_thickness) {
 93  	   fern_ball(radiuses[0], thickness, fern_n = 5, thickness_scale = 0.75);
 94  	   mirror([0, 1, 1]) fern_ball(radiuses[1], thickness, fern_n = 4, thickness_scale = 0.65);
 95  	   mirror([1, 1, 0]) fern_ball(radiuses[2], thickness, fern_n = 3, thickness_scale = 0.55);
 96  	};
 97  }
 98  
 99  module fidget_ball_drill_support(radius, thickness, spacing, support_thickness) {
100  	module drill(deep, drill_angle) {
101  		a = drill_angle / 2;
102  		r = deep * tan(a);
103  		
104  		difference() {
105  			children(0);
106  			union() {
107  				for(i = [0:3]) {
108  					rotate([90 * i, 0, 0])
109  					translate([0, 0, -deep])
110  					linear_extrude(deep, scale = 0.01)
111  						circle(r);
112  				}
113  				for(i = [90, -90]) {
114  					rotate([0, i, 0])
115  					translate([0, 0, -deep])
116  					linear_extrude(deep, scale = 0.01)
117  						circle(r);
118  				}
119  
120  				for(i = [0:3]) {
121  					rotate([0, 54.7356, 45 + i * 90])
122  					translate([0, 0, -deep])
123  					linear_extrude(deep, scale = 0.01)
124  						circle(r);
125  
126  					rotate([0, -125.2644, 45 + i * 90])
127  					translate([0, 0, -deep])
128  					linear_extrude(deep, scale = 0.01)
129  						circle(r);
130  				}
131  			}	
132  		}
133  	}
134  
135  	module support(i, sphere_r, height, support_thickness, drill_angle) {
136  		a = drill_angle / 2;
137  		support_r = 2 * sphere_r * sin(a / 2) ^ 2;
138  
139  		sina = sin(a);
140  		tana = tan(a);
141  
142  		translate([0, 0, -sphere_r])
143  		rotate_extrude()
144  		translate([sphere_r * sina, 0])
145  			polygon([[0, support_r], [-.75, support_r], [-tana * support_r - support_thickness, 0], [-tana * support_r, 0]]);
146  
147  		translate([0, 0, -sphere_r - height * i])
148  		linear_extrude(height * i)
149  		hollow_out(support_thickness)
150  		    circle(sphere_r * sina - tana * support_r);
151  
152  	}
153  
154  	r_step = thickness + spacing;
155  	
156  	drill(radius, drill_angle)
157  	for(i = [0:$children - 1]) {
158  	    children(i);
159  	}
160  
161  	for(i = [0:$children - 1]) {
162  		support(i, radius - r_step * i, r_step, support_thickness, drill_angle);
163  	}
164  }