import math

cx, cy = 250, 250
R_in = 52
R_out = 188

A_left_in = -10
A_left_out = -16
A_right_in = 14
A_right_out = 34

color = "#ffffff"


def get_pt(r, angle_deg):
    rad = math.radians(angle_deg)
    return cx + r * math.sin(rad), cy - r * math.cos(rad)


il_x, il_y = get_pt(R_in, A_left_in)
ol_x, ol_y = get_pt(R_out, A_left_out)
or_x, or_y = get_pt(R_out, A_right_out)
ir_x, ir_y = get_pt(R_in, A_right_in)

cpl_x, cpl_y = get_pt(120, -50)
cpr_x, cpr_y = get_pt(120, -5)


svg = f'''<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 500 500" width="500" height="500">
  <circle cx="250" cy="250" r="215" stroke="{color}" stroke-width="18" fill="none"/>
  <circle cx="250" cy="250" r="40" fill="{color}"/>
  <g fill="{color}">'''

for i in range(6):
    svg += f'''
    <path transform="rotate({i*60}, 250, 250)" d="M {il_x:.2f} {il_y:.2f} Q {cpl_x:.2f} {cpl_y:.2f} {ol_x:.2f} {ol_y:.2f} A {R_out} {R_out} 0 0 1 {or_x:.2f} {or_y:.2f} Q {cpr_x:.2f} {cpr_y:.2f} {ir_x:.2f} {ir_y:.2f} A {R_in} {R_in} 0 0 0 {il_x:.2f} {il_y:.2f} Z"/>'''

svg += '''
  </g>
</svg>'''

with open("logo.svg", "w") as f:
    f.write(svg)