# eulerCharacteristic -- The Euler characteristic of a complex.

## Synopsis

• Usage:
eulerCharacteristic(C)
• Inputs:
• C, ,
• Outputs:

## Description

The Euler characteristic of C. This is printed always when printing a complex and the faces are known.

 i1 : R=QQ[x_0..x_5]; i2 : C=fullCyclicPolytope(3,R); i3 : fvector C o3 = {1, 6, 12, 8, 1} o3 : List i4 : eulerCharacteristic C o4 = 0 i5 : dC=boundaryOfPolytope(C); i6 : fvector dC o6 = {1, 6, 12, 8, 0} o6 : List i7 : eulerCharacteristic dC o7 = 1

## See also

• fvector -- The F-vector of a complex.
• fc -- The faces of a complex.

## Ways to use eulerCharacteristic :

• "eulerCharacteristic(Complex)"
• "eulerCharacteristic(List)"

## For the programmer

The object eulerCharacteristic is .