some new stuff.

idk its all pretty fun! some C++ too!

simulations/donut.c/main.py

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+import math
+def render_frame(A, B):
+    cosA = math.cos(A)
+    sinA = math.sin(A)
+    cosB = math.cos(B)
+    sinB = math.sin(B)
+    char_output = []
+    zbuffer = []
+    for i in range(screen_height + 1):
+        char_output.append([' '] * (screen_width + 0))
+        zbuffer.append([0] * (screen_width + 0))
+    theta = 0
+    while (theta < 2* math.pi):
+        theta += theta_spacing
+        costheta = math.cos(theta)
+        sintheta = math.sin(theta)
+        phi = 0
+        while (phi < 2*math.pi):
+            phi += phi_spacing
+            cosphi = math.cos(phi)
+            sinphi = math.sin(phi)
+            circlex = R2 + R1*costheta
+            circley = R1*sintheta
+            x = circlex*(cosB*cosphi + sinA*sinB*sinphi) - circley*cosA*sinB
+            y = circlex*(sinB*cosphi - sinA*cosB*sinphi) + circley*cosA*cosB
+            z = K2 + cosA*circlex*sinphi + circley*sinA
+            ooz = 1/z
+            xp = int(screen_width/2 + K1*ooz*x)
+            yp = int(screen_height/2 - K1*ooz*y)
+            L = cosphi*costheta*sinB - cosA*costheta*sinphi - sinA*sintheta + cosB*(cosA*sintheta - costheta*sinA*sinphi)
+            if L > 0:
+                if ooz > zbuffer[xp][yp]:
+                    zbuffer[xp][yp] = ooz
+                    luminance_index = L*8
+                    char_output[xp][yp] = '.,-~:;=!*#$@'[int(luminance_index)]
+    print('\x1b[H')
+    for i in range(screen_height):
+        for j in range(screen_width):
+            print(char_output[i][j], end='')
+        print()
+theta_spacing = 0.07
+phi_spacing = 0.02
+R1 = 1
+R2 = 2
+K2 = 5
+screen_width = 35
+screen_height = 35
+K1 = screen_width*K2*3/(8*(R1+R2))
+print('\x1b[2J')
+A = 1.0
+B = 1.0
+for i in range(250):
+    render_frame(A, B)
+    A += 0.08
+    B += 0.03