# Drawing a rotated rectangle on a map#

This example will demonstrate how to draw a rectangle that is rotated relative to the axes on a map using draw_quadrangle().

import matplotlib.pyplot as plt

import astropy.units as u
from astropy.coordinates import SkyCoord, SkyOffsetFrame

import sunpy.data.sample
import sunpy.map


Let’s start with a sample image of AIA 171.

aia_map = sunpy.map.Map(sunpy.data.sample.AIA_171_IMAGE)


Define the rotation angle and center coordinate of the rectangle, as well as the width and height in physical units.

rotation_angle = 30 * u.deg
center_coord = SkyCoord(-100 * u.arcsec, -300 * u.arcsec, frame=aia_map.coordinate_frame)
width = 1000 * u.arcsec
height = 300 * u.arcsec


We define a custom coordinate frame for the rotated rectangle by providing the center in the AIA 171 coordinate frame and rotation angle to SkyOffsetFrame. We then define a 2-element SkyCoord in that custom coordinate frame for the bottom-left and top-right corners of the rectangle.

offset_frame = SkyOffsetFrame(origin=center_coord, rotation=rotation_angle)
rectangle = SkyCoord(lon=[-1/2, 1/2] * width, lat=[-1/2, 1/2] * height, frame=offset_frame)


Finally, we will draw the rotated rectangle and its center.

fig = plt.figure()
aia_map.plot(axes=ax, clip_interval=(1, 99.99) * u.percent)
ax.plot_coord(center_coord, "o", color="red")