21

2021/sketch_2021_02_20_derangements/sketch_2021_02_20_derangements.pyde

@@ -17,6 +17,7 @@ def setup():
     starting = tuple(sample('01234567', 8))
     positions = [{item} for item in starting]
     all_perms = permutations(starting)
+    print(len(list(all_perms)))
     
     mutual_derrangements = [starting]
     for p in all_perms:            
@@ -25,15 +26,15 @@ def setup():
             for i, item in enumerate(p):
                 positions[i].add(item)
     w = 100
-    shuffle(mutual_derrangements)
+    # shuffle(mutual_derrangements)
     for i, d in enumerate(mutual_derrangements):
         for j, item in enumerate(d): 
             fill(int(item) * 32, 200, 200)
-            text(item, w / 2 + i * w - 2, w / 2 + j * w - 6)   
+            text(item, w / 2 + i * w - 2, w / 2 + j * w - 8)   
             # rectMode(CENTER)
             # circle(w / 2 + i * w, w / 2 + j * w, w * 0.66)
             
-    saveFrame("sketch_2021_02_20_derangements.png")
+    saveFrame("_sketch_2021_02_20_derangements.png")
 """
 Normal derrangements:
 starting = tuple('ABCD')

2021/sketch_2021_02_21_derangements/sketch_2021_02_21_derangements.pyde

@@ -0,0 +1,61 @@
+"""
+Looking for multually deranged derangements
+"""
+from itertools import permutations
+from random import sample, shuffle
+from villares.arcs import var_bar
+
+eight_ways = ((-1, -1), (0, -1), (1, -1),
+              (-1,  0),          (1,  0),
+              (-1,  1), (0,  1), (1,  1))
+
+def setup():
+    global mutual_derrangements
+    size(900, 900)
+    background(240)
+    colorMode(HSB)
+    f = createFont("Tomorrow Bold",80)
+    textFont(f)
+    textAlign(CENTER, CENTER)
+    starting = tuple(sample('01234567', 8))
+    positions = [{item} for item in starting]
+    all_perms = permutations(starting)
+    print(len(list(all_perms)))
+    
+    mutual_derrangements = [starting]
+    for p in all_perms:            
+        if not any(item in positions[i] for i, item in enumerate(p)):
+            mutual_derrangements.append(p)
+            for i, item in enumerate(p):
+                positions[i].add(item)
+    w = 100
+    # shuffle(mutual_derrangements)
+    
+    translate(50, 50)
+    for i, d in enumerate(mutual_derrangements):
+        for j, item in enumerate(d): 
+            strokeWeight(5)
+            pos = int(item)
+            # stroke(pos * 32, 200, 200)
+            
+            fill(pos * 32, 200, 200)
+            x0, y0 = w / 2 + i * w , w / 2 + j * w 
+            x = x0 + eight_ways[pos][0] * w / 2
+            y = y0 + eight_ways[pos][1] * w / 2
+            circle(x, y, 20) 
+            x0 = x0 - eight_ways[pos][0] * w / 2
+            y0 = y0 - eight_ways[pos][1] * w / 2
+            circle(x0, y0, 20) 
+            noFill() 
+            var_bar(x0, y0, x, y, w / 6, w / 3)
+
+            
+    saveFrame("_sketch_2021_02_21_derangements_D.png")
+"""
+Normal derrangements:
+starting = tuple('ABCD')
+all_perms = permutations(starting)
+derangements = (p for p in all_perms          
+                if not any(item == starting[i] for i, item
+                           in enumerate(p)))      
+"""

README.md

@@ -26,6 +26,12 @@ Here are listed some of the tools I have been using:
 
 ---
 
+![_sketch_2021_02_21_derangements_D](2021/_sketch_2021_02_21_derangements_D/_sketch_2021_02_21_derangements_D.png)
+
+[_sketch_2021_02_21_derangements_D](https://github.com/villares/sketch-a-day/tree/master/2021/_sketch_2021_02_21_derangements_D) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)]
+
+---
+
 ![sketch_2021_02_20_derangements](2021/sketch_2021_02_20_derangements/sketch_2021_02_20_derangements.png)
 
 [sketch_2021_02_20_derangements](https://github.com/villares/sketch-a-day/tree/master/2021/sketch_2021_02_20_derangements) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)]