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Two objects form a mirror pair if one can be translated and rotated in such a way that the two objects together possess mirror symmetry, i.e., one is the mirror image of the ...

A quartic surface named after its resemblance to the liturgical headdress worn by bishops and given by the equation 4x^2(x^2+y^2+z^2)-y^2(1-y^2-z^2)=0.

A tensor having contravariant and covariant indices.

Spherical triangles into which a sphere is divided by the planes of symmetry of a uniform polyhedron.

(b-c)/a = (sin[1/2(B-C)])/(cos(1/2A)) (1) (c-a)/b = (sin[1/2(C-A)])/(cos(1/2B)) (2) (a-b)/c = (sin[1/2(A-B)])/(cos(1/2C)). (3)

A nonuniform rational B-spline surface of degree (p,q) is defined by ...

Given the center of a circle, divide the circle into four equal arcs using a compass alone (a Mascheroni construction).

A curve also known as swan-like curve or streamline. It is given by the polar equation r=atheta+b, where a>0.

If each of two nonparallel transversals with nonminimal directions meets a given curve in finite points only, then the ratio of products of the distances from the two sets of ...

If two curves phi and psi of multiplicities r_i!=0 and s_i!=0 have only ordinary points or ordinary singular points and cusps in common, then every curve which has at least ...