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D.16.2.36 normalFan

Syntax:
Polymake::normalFan( polytope p )
Type:
fan
Purpose:
the normal fan of p.
Example:
 
  LIB"polymake.lib";
==> Welcome to polymake
==> Copyright (c) 1997-2012
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
  intmat M[6][4] = 1,1,0,0, 1,0,1,0, 1,0,-1,0, 1,0,0,1, 1,0,0,-1, 1,-1,0,0;
  polytope p = polytopeViaPoints(M);
  fan f = normalFan(p);
==> polymake: used package cddlib
==>   Implementation of the double description method of Motzkin et al.
==>   Copyright by Komei Fukuda.
==>   http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html
==> 
  f;
==> _application PolyhedralFan
==> _version 2.2
==> _type PolyhedralFan
==> 
==> AMBIENT_DIM
==> 3
==> 
==> DIM
==> 3
==> 
==> LINEALITY_DIM
==> 0
==> 
==> RAYS
==> -1 -1 -1	# 0
==> -1 -1 1	# 1
==> -1 1 -1	# 2
==> -1 1 1	# 3
==> 1 -1 -1	# 4
==> 1 -1 1	# 5
==> 1 1 -1	# 6
==> 1 1 1	# 7
==> 
==> N_RAYS
==> 8
==> 
==> LINEALITY_SPACE
==> 
==> ORTH_LINEALITY_SPACE
==> -1 0 0	# 0
==> 0 -1 0	# 1
==> 0 0 -1	# 2
==> 
==> F_VECTOR
==> 1 8 12 6
==> 
==> SIMPLICIAL
==> 0
==> 
==> PURE
==> 1
==> 
==> CONES
==> {}	# Dimension 0
==> {0}	# Dimension 1
==> {1}
==> {2}
==> {3}
==> {4}
==> {5}
==> {6}
==> {7}
==> {0 1}	# Dimension 2
==> {0 2}
==> {1 3}
==> {2 3}
==> {0 4}
==> {1 5}
==> {2 6}
==> {3 7}
==> {4 5}
==> {4 6}
==> {5 7}
==> {6 7}
==> {0 1 2 3}	# Dimension 3
==> {0 1 4 5}
==> {0 2 4 6}
==> {1 3 5 7}
==> {2 3 6 7}
==> {4 5 6 7}
==> 
==> MAXIMAL_CONES
==> {0 1 2 3}	# Dimension 3
==> {0 1 4 5}
==> {0 2 4 6}
==> {1 3 5 7}
==> {2 3 6 7}
==> {4 5 6 7}
==> 
==> MULTIPLICITIES
==> 1	# Dimension 3
==> 1
==> 1
==> 1
==> 1
==> 1
==>