# isPointed -- checks if a Cone or Fan is pointed

## Synopsis

• Usage:
b = isPointed C
b = isPointed F
• Inputs:
• F, an instance of the type Fan
• Outputs:
• b, , true if the Cone or the Fan is pointed, false otherwise

## Description

Tests if a Cone is pointed, i.e. the lineality space is 0. A Fan is pointed if one of its Cones is pointed. This is equivalent to all Cones being pointed.

 i1 : C = coneFromHData(matrix{{1,1,-1},{-1,-1,-1}}) o1 = C o1 : Cone i2 : isPointed C o2 = false i3 : C = intersection{C, coneFromHData(matrix{{1,-1,-1}})} o3 = C o3 : Cone i4 : isPointed C o4 = true

## Ways to use isPointed :

• "isPointed(Cone)"
• "isPointed(Fan)"

## For the programmer

The object isPointed is .