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4,6 hyperbolic tiling

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Lily Iliana Luna Ylva Anderson Appleseed Grigaitis
2025-08-16 21:47:42 -05:00
parent 0609d02109
commit cce865a423
1 changed files with 28 additions and 10 deletions
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38
main.py
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@@ -67,9 +67,9 @@ def draw_line(line):
def simulation(t): def simulation(t):
lines.clear() lines.clear()
points.clear() points.clear()
lines.append(y_axis) #lines.append(y_axis)
lines.append(x_axis) #lines.append(x_axis)
points.append(origin) #points.append(origin)
x_motor = tx_generator.exp() x_motor = tx_generator.exp()
y_motor = ty_generator.exp() y_motor = ty_generator.exp()
@@ -77,19 +77,38 @@ def simulation(t):
#generator = math.sin(t)*tx_generator + math.sin(math.sqrt(2)*t)*ty_generator + math.sin(math.sqrt(3)*t)*origin #generator = math.sin(t)*tx_generator + math.sin(math.sqrt(2)*t)*ty_generator + math.sin(math.sqrt(3)*t)*origin
y_tick = motor*y_axis*motor.reverse() y_tick = motor*y_axis*motor.reverse()
x_tick = motor*x_axis*motor.reverse() x_tick = motor*x_axis*motor.reverse()
lines.append(y_tick) #lines.append(y_tick)
lines.append(x_tick) #lines.append(x_tick)
points.append(y_tick^x_tick) #points.append(y_tick^x_tick)
mirror_one = e1
mirror_two = e2
mirror_three = -math.sqrt(3)/2 * e1 - math.sqrt(2)/2 * e2 + 1/2 * e3
generated = [ e1 ]
gen_next = []
for loop in range(8):
for line in generated:
gen_next.append(mirror_one * line * mirror_one)
gen_next.append(mirror_two * line * mirror_two)
gen_next.append(mirror_three * line * mirror_three)
generated = gen_next
gen_next = []
for line in generated:
lines.append(motor*line*motor.reverse())
'''
for i in range(9): for i in range(9):
for j in range(9): for j in range(9):
motor_x = ((i-4)*tx_generator/10).exp() motor_x = ((i-4)*tx_generator/10).exp()
motor_y = ((j-4)*ty_generator/10).exp() motor_y = ((j-4)*ty_generator/10).exp()
y_tick = motor * motor_x * y_axis * motor_x.reverse() * motor.reverse() y_tick = motor * motor_x * y_axis * motor_x.reverse() * motor.reverse()
x_tick = motor * motor_y * x_axis * motor_y.reverse() * motor.reverse() x_tick = motor * motor_y * x_axis * motor_y.reverse() * motor.reverse()
lines.append(y_tick) #lines.append(y_tick)
lines.append(x_tick) #lines.append(x_tick)
points.append(y_tick^x_tick) #points.append(y_tick^x_tick)
'''
y_axis = e1 #x = 0 line y_axis = e1 #x = 0 line
@@ -99,7 +118,6 @@ tx_generator = e13 #A translation in the x direction
ty_generator = e23 #A translation in the y direction ty_generator = e23 #A translation in the y direction
origin = e12 #The origin, and a rotation about the origin origin = e12 #The origin, and a rotation about the origin
# Initialize Pygame # Initialize Pygame
pygame.init() pygame.init()