Recipe 577324 revision 2

Diff to Previous Revision

--- revision 1 2010-07-21 02:54:39
+++ revision 2 2010-07-22 04:53:56
@@ -1,38 +1,50 @@
-# SuperHelix using Torus equations
-# FB - 201007202
+# SuperHelix
+# FB - 201007213
 import math
 from PIL import Image
-# image size
-imgx = 512
-imgy = 512
+imgx = 800
+imgy = 800
 image = Image.new("RGB", (imgx, imgy))
 
-r0 = float(200) # radius of the 1. helix
-r1 = float(20) # radius of the 2. helix
+r0 = float(300) # radius of the 1. helix
+r1 = float(30)  # radius of the 2. helix
+r2 = float(10)  # radius of the 3. helix
 
 ctr = 0
 while True:
     ctr += 1
     
     # 1. helix point
-    a0 = float(ctr) / r0
+    a0 = float(ctr) / r0 / 10
     x0 = r0 * math.cos(a0)
     y0 = r0 * math.sin(a0)
-    z0 = float(ctr) * 0.1
+    z0 = float(ctr) * 0.01
 
     # plot the 1. helix point
     if z0 > imgy - 1: break
     image.putpixel((x0 + imgx / 2, z0), (255, 0, 0))
     
-    # 2. helix point
-    a1 = float(ctr) / r1 * 4
-    x1 = (r0 + r1 * math.cos(a1)) * math.cos(a0)
-    y1 = (r0 + r1 * math.cos(a1)) * math.cos(a0)
-    z1 = r1 * math.sin(a1) + z0
+    # 2. helix point (superhelix)
+    a1 = float(ctr) / r1 / 2
+    x1 = x0 + r1 * math.cos(a1) * math.cos(a0)
+    y1 = y0 + r1 * math.cos(a1) * math.sin(a0)
+    z1 = z0 + r1 * math.sin(a1)
 
     # plot the 2. helix point
     if z1 < 0: z1 = 0
     if z1 > imgy - 1: break
-    image.putpixel((x1 + imgx / 2, z1), (0, 255, 0))
+    image.putpixel((x1 + imgx / 2, z1), (0, 0, 255))
+
+    # 3. helix point (hyperhelix?)
+    a2 = float(ctr) / r2
+    x2 = x1 + r2 * math.cos(a2) * math.cos(a1)
+    y2 = y1 + r2 * math.cos(a2) * math.sin(a1)
+    z2 = z1 + r2 * math.sin(a2)
+
+    # plot the 3. helix point
+    if z2 < 0: z2 = 0
+    if z2 > imgy - 1: break
+
+    image.putpixel((x2 + imgx / 2, z2), (0, 255, 0))
 
 image.save("SuperHelix.png", "PNG")