From 865fb929d52a4f89cd92d338480b1d5add502494 Mon Sep 17 00:00:00 2001
From: pommicket <leonardomtenenbaum@gmail.com>
Date: Sun, 25 Dec 2016 01:22:05 -0500
Subject: Added hypercubes

---
 README.md      |  3 ---
 hypershapes.py | 29 +++++++++++++++++++++++++++++
 2 files changed, 29 insertions(+), 3 deletions(-)

diff --git a/README.md b/README.md
index cf94ed4..3ab6f68 100644
--- a/README.md
+++ b/README.md
@@ -1,9 +1,6 @@
 # hypershapes
 **The more dimensions you add, the lower the quality should be. Setting the quality too high could slow down your computer.**
 
-
-There are just spheres now, but more objects are coming soon.
-
 Create multi-dimensional shapes (projected onto the plane).  
 It uses linear algebra to calculate how to project objects.
 
diff --git a/hypershapes.py b/hypershapes.py
index 9e60065..7616d68 100644
--- a/hypershapes.py
+++ b/hypershapes.py
@@ -48,6 +48,18 @@ def sphere_points(radius, dims, quality):
     return np.array([point_on_sphere(radius, angles) for angles in itertools.product(*[list(np.arange(0, 2 * math.pi, 1.0 / quality)) for _ in range(dims - 1)])])
 
 
+def cube_points(radius, dims, quality):
+    pointss = []
+    for i in range(dims):
+        for c_i in [-radius, radius]:
+            points = list(itertools.product(*[list(np.arange(-radius, radius, 100.0/quality)) for _ in range(dims - 1)]))
+            for i in range(len(points)):
+                points[i] = list(points[i])
+                points[i].insert(i, c_i)
+        pointss += points
+    return np.array(pointss)
+
+
 def show_points(points, color="black", size=1):
     for point in points:
         x0 = point[0] - size
@@ -67,6 +79,11 @@ class Object:
         if self.type == "sphere":
             dims = self.properties["matrix"].shape[1]
             show_points(transform(self.properties["matrix"], sphere_points(self.properties["radius"], dims, self.properties["quality"])), self.properties["color"], self.properties["size"])
+        elif self.type == "cube":
+            dims = self.properties["matrix"].shape[1]
+            show_points(transform(self.properties["matrix"],
+                                  cube_points(self.properties["radius"], dims, self.properties["quality"])),
+                        self.properties["color"], self.properties["size"])
 
     def __str__(self):
         return str(dict(self.properties, type=self.type))
@@ -121,6 +138,16 @@ def create_sphere():
     show_properties()
 
 
+def create_cube():
+    global obj
+    buttons.destroy()
+    angles = [random.random() * 2 * math.pi for i in range(4)]
+    obj = Object("cube", {"matrix": np.array([[math.cos(a), math.sin(a)] for a in angles]).transpose(), "quality": 5,
+                          "radius": 3 * HEIGHT / 8, "size": 1, "color": "black"})
+    obj.show()
+    show_properties()
+
+
 def show_properties():
     global properties, quality, radius, matrix_entry
     properties = tk.Frame(root)
@@ -186,6 +213,8 @@ buttons.grid(row=0, column=1, sticky=tk.NW)
 sphere = tk.Button(buttons, text="Sphere", command=create_sphere)
 sphere.grid(row=0, column=0, sticky=tk.NW)
 
+cube = tk.Button(buttons, text="Cube", command=create_cube)
+cube.grid(row=1, column=0, sticky=tk.NW)
 
 root.bind("<Control-q>", lambda x: quit_())
 root.bind("<Control-s>", lambda x: save())
-- 
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