From 49e13d920a935a4fbc467c5d59ec622be786ffe1 Mon Sep 17 00:00:00 2001
From: Justin Lin <caterpillar@openhome.cc>
Date: Sun, 14 Jul 2019 10:58:31 +0800
Subject: [PATCH] add superformula_vase

---
 examples/superformula_vase.scad | 72 +++++++++++++++++++++++++++++++++
 1 file changed, 72 insertions(+)
 create mode 100644 examples/superformula_vase.scad

diff --git a/examples/superformula_vase.scad b/examples/superformula_vase.scad
new file mode 100644
index 00000000..bd97032c
--- /dev/null
+++ b/examples/superformula_vase.scad
@@ -0,0 +1,72 @@
+include <trim_shape.scad>;
+include <bezier_curve.scad>;
+include <path_scaling_sections.scad>;
+include <polysections.scad>;
+include <rotate_p.scad>;
+include <bijection_offset.scad>;
+include <shape_superformula.scad>;
+
+/* [Superformula] */
+phi_step = 0.025;
+m = 8;
+n = 5;
+n3 = 8;
+
+/* [Offset] */
+d = 0.1;
+
+/* [Curve] */
+r1 = 1;
+r2 = 2;
+h1 = 5;
+h2 = 8;
+t_step = 0.025;
+twist = 90;
+
+module superformula_vase(phi_step, m, n, n3, d, r1, r2, h1, h2, t_step, twist) {
+
+    function cal_sections(shapt_pts, edge_path, twist) =
+        let(
+            sects = path_scaling_sections(shapt_pts, edge_path),
+            leng = len(sects),
+            twist_step = twist / leng
+        )
+        [
+            for(i = [0:leng - 1]) 
+            [
+                for(p = sects[i]) 
+                    rotate_p(p, twist_step * i)        
+            ]
+        ];
+
+    superformula = shape_superformula(phi_step, m, m, n, n, n3);
+
+    edge_path = bezier_curve(t_step, [
+        [1, 0, 0],
+        [4, 0, 3],
+        [2, 0, 4],
+        [r1, 0, h1],
+        [1, 0, 6],
+        [r2, 0, h2],
+    ]);
+
+    offseted = bijection_offset(superformula, d);
+
+    edge_path2 = [for(p = edge_path) p + [d, 0, 0]];
+    superformula2 = trim_shape(offseted, 3, len(offseted) - 1, epsilon = 0.0001);
+
+    sections = cal_sections(superformula, edge_path, twist);
+    outer_sections = cal_sections(superformula2, edge_path2, twist);
+
+    difference() {
+        polysections(outer_sections);
+        polysections(sections);
+    }
+
+    linear_extrude(d) 
+        rotate(twist - twist / len(sections)) 
+            polygon(superformula2);    
+}
+
+superformula_vase(phi_step, m, n, n3, d, r1, r2, h1, h2, t_step, twist);
+    
\ No newline at end of file