input: Write a function to generate a unique snowflake pattern by using a design algorithm that randomly creates a pattern based on mathematical transformations. The function should return a list of three coordinates representing the 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
  
  # Test cases
  assert isinstance(generate_snowflake(), list)
  assert len(generate_snowflake()) == 3
  assert isinstance(generate_snowflake()[0], float)
  assert isinstance(generate_snowflake()[1], float)
  assert isinstance(generate_snowflake()[2], float)
  
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