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An authalic latitude given by phi_g=tan^(-1)[(1-e^2)tanphi]. (1) The series expansion is phi_g=phi-e_2sin(2phi)+1/2e_2^2sin(4phi)+1/3e_2^3sin(6phi)+..., (2) where ...

A geodesic mapping f:M->N between two Riemannian manifolds is a diffeomorphism sending geodesics of M into geodesics of N, whose inverse also sends geodesics to geodesics ...

Two geometric figures are said to exhibit geometric congruence (or "be geometrically congruent") iff one can be transformed into the other by an isometry (Coxeter and ...

A product of a reflection in a line and translation along the same line.

A glome is a 4-sphere (in the geometer's sense of the word) x^2+y^2+z^2+w^2=r^2 (as opposed to the usual 3-sphere). The term derives from the Latin "glomus" meaning "ball of ...

The dual of the uniform great rhombicosidodecahedron U_(67) and Wenninger dual W_(105).

The dual of the great dirhombicosidodecahedron U_(75) and Wenninger dual W_(119).

The dual of the great truncated cuboctahedron U_(20) and Wenninger dual W_(93).

The dual of the great truncated icosidodecahedron U_(68) and Wenninger dual W_(108).

The dual of the great ditrigonal dodecicosidodecahedron U_(42) and Wenninger dual W_(81).