Explore: Quartic Surfaces

simple group after the alternating group A5. The quartic was first described in (Klein 1878b). Klein's quartic occurs in many branches of mathematics, in contexts

geometry, a quartic surface is a surface defined by an equation of degree 4. More specifically there are two closely related types of quartic surface: affine

that every Kummer quartic is a Kummer variety of a Jacobian of a hyperelliptic curve, we show how to reconstruct Kummer quartic surface directly from the

beginning with Quartic All pages with titles containing Quartic Quart (disambiguation) Quintic, relating to degree 5, as next higher above quartic Cubic (disambiguation)

of surfaces, K3 surfaces form one of the four classes of minimal surfaces of Kodaira dimension zero. A simple example is the Fermat quartic surface x 4

Rational surfaces and more generally ruled surfaces (these include quadrics and cubic surfaces in projective 3-space) have the simplest geometry. Quartic surfaces

degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero

in the theory of quartic surfaces in projective space, where it is sometimes defined as a tangent space meeting the quartic surface in a conic; for example

afterwards. This work also included a characterisation of K3 surfaces as deformations of quartic surfaces in P3, and the theorem that they form a single diffeomorphism

Wave surface, a special tetrahedroid Plücker surfaces, birational to Kummer surfaces Weddle surfaces, birational to Kummer surfaces Smooth quartic surfaces