In geometry, the Hessian polyhedron is a regular complex polyhedron 3{3}3{3}3, , in C 3 {\displaystyle \mathbb {C} ^{3}} . It has 27 vertices, 72 3{} edges...

in mathematics Hessian form of an elliptic curve Hessian group Hessian polyhedron Glossary of classical algebraic geometry § Hessian, other mathematical...

the rectification of the Hessian polyhedron , is , a quasiregular form sharing the geometry of the regular complex polyhedron . Other nonregular complex...

a pencil of curves generated by C and by the Hessian curve of C, the Hesse pencil. The Hessian polyhedron is a representation of the Hesse configuration...

triangular prisms alongside two tetrahedra as cells. The complex Hessian polyhedron in C 3 {\displaystyle \mathbb {C} ^{3}} contains 72 regular complex...

representation as the 221 polytope, , in 4-dimensional space. It is called a Hessian polyhedron after Edmund Hess. It has 27 vertices, 72 3-edges, and 27 3{3}3 faces...

geometry. For the metric space of surface distances on a convex polyhedron, cutting the polyhedron along the cut locus produces a shape that can be unfolded...

belongs to 27 edges, 72 faces, and 27 cells, corresponding to the Hessian polyhedron vertex figure. Its symmetry by 3[3]3[3]3[3]3 or , order 155,520. It...

half-symmetry quasiregular construction as , as a rectification of the Hessian polyhedron, . Along with the semiregular polytope, 221, it is also one of a family...

definiteness of the Hessian matrix: If the Hessian is positive definite at a critical point, then the point is a local minimum; if the Hessian matrix is negative...

. Its edge-diagram is the cayley diagram for 3[3]3. The regular Hessian polyhedron 3{3}3{3}3, has this polygon as a facet and vertex figure. Coxeter...

122). Hesse Hessian Named after Otto Hesse. 1.  A Hessian matrix, or a variety associated with it. See Salmon (1879, p.55). 2.  The Hessian line is a line...

any problem, the convex hull of the solutions is an integral polyhedron; if this polyhedron has a nice/compact description, then we can efficiently find...

G2 Hn Regular polygon Triangle Square p-gon Hexagon Pentagon Uniform polyhedron Tetrahedron Octahedron • Cube Demicube Dodecahedron • Icosahedron Uniform...

Polyhedron of simplex algorithm in 3D...

smallest convex polyhedron that contains all of these points. The blue lines together with the coordinate axes define the polyhedron of the LP relaxation...

a valley to a local bottom. This method is also known as the flexible polyhedron method. This, however, tends to perform poorly against the method described...

Avis and Fukuda presented an algorithm which finds the v vertices of a polyhedron defined by a nondegenerate system of n linear inequalities in D dimensions...

variates are properties of the angles, edges and perpendiculars of sphero-polyhedron multiple space. A pure mathematician was needed to write, in effect, a...