River Lune the West Coast Main Railway Line run. Below the gorge, the valley broadens out into Lonsdale. Bridges over the Lune include the Devil's Bridge near Kirkby Lonsdale and the Lune Millennium Bridge in Lancaster. At Caton, about upstream from Lancaster, there is a cluster of three bridges (one stone road bridge and two disused iron rail bridges now used as foot/cyclepaths) at the "Crook o' Lune". Here in a 180-degree right-hand bend the Lune turns back on itself; this is followed by a 90-degree left-hand bend forming the shape of a shepherd's crook and creating a beauty spot which was
Spherical lune the second half great circle has moved a full circle, and the lune in between covers the sphere as a spherical monogon — the area formula for the spherical lune gives 4π"R", the surface area of the sphere. A hosohedron is a tessellation of the sphere by lunes. A n-gonal regular hosohedron, {2,n} has "n" equal lunes of π/"n" radians. An "n"-hosohedron has dihedral symmetry D, ["n",2], (*22"n") of order 4"n". Each lune individually has cyclic symmetry "C", [2], (*22) of order 4. Each hosohedra can be divided by an equatorial bisector into two equal spherical triangles. The visibly lighted