input: Write a function to generate a unique snowflake pattern by using Python's design algorithm. The function should generate random numbers and use them to compute the coordinates of the snowflake. The snowflake should be unique each time the function is called. If the input is empty, the function should still return a snowflake.
  import random
  import math
  
  def generate_snowflake():
    # Generate random numbers between 0 and 1
    a = random.random()
    b = random.random()
    c = random.random()
  
    # Generate the snowflake
    snowflake = [] 
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.cos(a * math.pi * 2))
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.sin(b * math.pi * 2))
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.sin(c * math.pi * 2))
  
    return snowflake
  
  assert generate_snowflake() != generate_snowflake()
  assert len(generate_snowflake()) == 3
  assert generate_snowflake() is not None
output: import random
  import math
  
  def generate_snowflake():
    a = random.random()
    b = random.random()
    c = random.random()
    snowflake = [] 
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.cos(a * math.pi * 2))
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.sin(b * math.pi * 2))
    snowflake.append((a**2 + b**2 + c**2)**0.5 * math.sin(c * math.pi * 2))
    return snowflake