Hello I have been trying to plot data in a Orthographic projection. The data is plotted but I want the box to follow the data limits. Like in this example I am sharing form M_map[enter image description here

Do you have any suggestion?

In the comments under the question, you have several links to the existing answers that match the question. So that, this question is likely a duplicate question. However, none of the answers offers the zebra-pattern border as shown in the sample plot.

I take this opportunity to offer a distinct answer that also plots the map border with zebra pattern line similar to the sample plot.

import cartopy.crs as ccrs
import cartopy
import matplotlib.pyplot as plt
import matplotlib.path as mpath
import matplotlib.patches as patches# The lat-long projection
noProj = ccrs.PlateCarree(central_longitude=0)
# The projection of the map:
myProj = ccrs.Orthographic(central_longitude=-25, central_latitude=58)
myProj._threshold = myProj._threshold/40.  #for higher precision plotfig = plt.figure(figsize=(8,12))
ax = fig.add_subplot(1, 1, 1, projection=myProj)# Zebra-border-line segments ...
#  four edges on separate lines of code
# 1: lower edge: Left - Right
# 2: Right edge: Bottom - Top
# 3: Upper edge: Right - Left
# 4: Left edge: Top - Bottom
[ax_hdl] = ax.plot([-45, -40, -35, -30, -25, -20, -15, -10, -5,-5,-5,-5,-5,-5,-10,-15,-20,-25,-30,-35,-40,-45,-45, -45, -45, -45, -45],[45, 45, 45, 45, 45, 45, 45, 45, 45,50, 55, 60, 65, 70,70,70,70,70,70,70,70,70,65, 60, 55, 50, 45 ],color='black', linewidth=0.5,transform=noProj)
tx_path = ax_hdl._get_transformed_path()
path_in_data_coords, _ = tx_path.get_transformed_path_and_affine()
polygon1s = mpath.Path( path_in_data_coords.vertices)
vcode = [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1]  #Path-code
polygon1v = mpath.Path( path_in_data_coords.vertices, vcode)ax.set_boundary(polygon1s) #masks-out unwanted part of the plot# Zebra-pattern creation
# The pattern line is created from 2 layers
#  lower layer: thicker, black solid line
#  top layer: thinner, dashed white line
patch1s = patches.PathPatch(polygon1s, facecolor='none', ec="black", lw=7, zorder=100)
patch1v = patches.PathPatch(polygon1v, facecolor='none', ec="white", lw=6, zorder=101)
ax.add_patch(patch1s)
ax.add_patch(patch1v)ax.gridlines(draw_labels=True, x_inline=False, y_inline=False)
ax.add_feature(cartopy.feature.OCEAN, linewidth=.3, color='lightblue')
ax.add_feature(cartopy.feature.LAND, zorder=1, edgecolor='black')
ax.title.set_text("Map with zebra border line")
plt.show()