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To plot data using Gaussian coordinates in Cartopy, you can follow the steps below:

1. Define a projection using cartopy.crs.Gaussian.

import cartopy.crs as ccrs
import cartopy.feature as cfeature

# Define projection using Gaussian coordinates
proj = ccrs.Gaussian(latitude_of_projection_origin=0, longitude_of_central_meridian=0)

1. Create a GeoAxes object with a projection set to the Gaussian projection.

import matplotlib.pyplot as plt

fig = plt.figure(figsize=(8, 8))
ax = fig.add_subplot(1, 1, 1, projection=proj)

1. Plot your data using the plot method on the GeoAxes object.

# Example data array
data = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

# Plot data using projection coordinates
ax.plot(data)

1. Add features to the map if desired, such as coastlines or gridlines.

# Add coastlines to map
ax.add_feature(cfeature.COASTLINE)

# Add gridlines to map
gl = ax.gridlines(draw_labels=True)
gl.xlabels_top = False
gl.ylabels_right = False

1. Finally, show the map using plt.show().

plt.show()