# imageFan -- computes the fan of the image

## Synopsis

• Usage:
F = imageFan(M,C)
• Inputs:
• M,
• Outputs:
• F, an instance of the type Fan

## Description

M must be a matrix from the ambient space of the Cone C to some target space. The imageFan is the common refinement of the images of all faces of C.

 i1 : C = coneFromVData matrix {{2,1,-1,-3},{1,1,1,1},{0,1,-1,0}} o1 = C o1 : Cone i2 : M = matrix {{1,0,0},{0,1,0}} o2 = | 1 0 0 | | 0 1 0 | 2 3 o2 : Matrix ZZ <--- ZZ i3 : F = imageFan(M,C) o3 = F o3 : Fan i4 : rays F o4 = | -3 -1 1 2 | | 1 1 1 1 | 2 4 o4 : Matrix ZZ <--- ZZ

## Ways to use imageFan :

• "imageFan(Matrix,Cone)"

## For the programmer

The object imageFan is .