Spherical curves

intersection of the sphere and a plane which passes through the center point of the sphere

arc crossing all meridians of longitude at the same angle

shortest distance between two points along the surface of a sphere

figure-eight shaped three-dimensional curve, the intersection of a sphere with a cylinder

thumb|upright=1.2|Clelia curve for c=1/4 with an orientation (arrows) (At the coordinate axes the curve runs upwards, see the corresponding floorplan below, too) thumb|upright=1.4|Clelia curves: floor plans of examples, arcs on the lower half of the sphere are dotted. The last four curves (spherical spirals) start at the south pole and end at the northpole. The upper four curves are due to the choice of parameter c periodic (see: Rose (mathematics)|rose).

smooth curve that divides a sphere into 2 equal-area subsets has at least 4 inflections

method of quaternion rotation