I am using nearest_points from shapely to retrieve the nearest points between two polygons. I get the expected result for two simple polygons:

However for more complex polygons, the points are not the expected nearest points between the polygons.

Note: I added ax.set_aspect('equal') so that the nearest points line woild have to be at a right angle (right?)

What is wrong with my code or my polygons (or me)?

from shapely.geometry import Point, Polygon, LineString, MultiPolygon
from shapely.ops import nearest_points
import matplotlib.pyplot as plt
import shapely.wkt as wkt

#Set of 2 Polyogons A where the nearest points don's seem right
poly1=wkt.loads('POLYGON((-0.136319755454978 51.460464712623626,   -0.1363352511419218 51.46042713866513, -0.1363348393705439 51.460425, -0.1365967582352347 51.460425, -0.1363077932125138 51.4605825392028, -0.136237298707157 51.46052697162038, -0.136319755454978 51.460464712623626))')
poly2=wkt.loads('POLYGON ((-0.1371553266140889 51.46046700960882, -0.1371516327997412 51.46046599134276, -0.1371478585043985 51.46046533117243, -0.1371440383598866 51.46046503515535, -0.1371402074187299 51.460465106007696, -0.1371364008325196 51.460465543079344, -0.137132653529373 51.46046634235985, -0.1371289998934435 51.46046749651525, -0.1371254734494216 51.46046899495536, -0.1371221065549237 51.46047082393093, -0.1366012836405492 51.460786954965236, -0.1365402944168757 51.46074798846902, -0.1370125055334012 51.46045400071198, -0.1371553266140889 51.46046700960882))')

#Set of 2 polygons B where the nearest points seem right
#poly1 = Polygon([(0, 0), (2, 8), (14, 10), (6, 1)])
#poly2 = Polygon([(10, 0),(13,5),(14,2)])

p1, p2 = nearest_points(poly1, poly2)

fig,ax= plt.subplots()
ax.set_aspect('equal')

x1,y1=poly1.exterior.xy
x2,y2=poly2.exterior.xy

#Plot Polgygons
plt.plot(x1,y1)
plt.plot(x2,y2)

#Plot LineString connecting the nearest points
plt.plot([p1.x, p2.x],[p1.y,p2.y], color='green')

fig.show()