Fans
Constructors

a fan object If the input F is fan then return F. a fan object The input is a list of list C. the output is the fan defined by the cones \{\mathrm{Cone}_i(C_i )\}_{C_i\in C}. a fan object The input is two lists, R that indicates the rays and C that indicates the cones. The output is the fan defined by the cones \{\mathrm{Cone}_i(\{ R_j, j\in C_i\} )\}_{C_i\in C}. <#Include Label="fan1"> <#Include Label="fan2"> a list of fans The input is a list of ray generators R. Provided that the package TopcomInterface is available, this function computes the list of all fine and regular triangulations of these ray generators. It then returns the list of the associated fans of these triangulations. a fan The input is a list of ray generators R. Provided that the package TopcomInterface is available, this function computes a fine and regular triangulation of these ray generators and returns the associated fan. <#Include Label="fan3">
Attributes

a list The input is a fan F. The output is the set of all ray generators of the maximal cones in the fan. a list The input is a fan F. The output is the given or defining set of ray generators of the maximal cones in the fan. a list The input is a fan F. The output is a list of lists. which represent an incidence matrix for the correspondence of the rays and the maximal cones of the fan F. The i'th list in the result represents the i'th maximal cone of F. In such a list, the j'th entry is 1 if the j'th ray is in the cone, 0 otherwise. a list The input is a fan F. The output is a list of the maximal cones of F. a list Description
Properties

a true or false It checks whether the constructed fan is well defined or not. a true or false Checks whether the fan is complete, i.e. if its support is the whole space. a true or false Checks whether the fan is pointed, i.e., that every cone it contains is pointed. a true or false Checks if the fan is smooth, i.e. if every cone in the fan is smooth. a true or false Checks if the fan is simplicial, i.e. if every cone in the fan is simplicial. a true or false Checks if the fan is normal as described in (Theorem 4.7, Combinatorial convexity and algebraic geometry, Ewald, Guenter). a true or false Synonyme to IsNormalFan a true or false Checks whether the fan is a fano fan.
Operations on fans

<#Include Label="fan4">