# isFullDimensional -- Determine whether a polyhedral object is full-dimensional

## Synopsis

• Usage:
b = isFullDimensional PO
• Inputs:
• Outputs:
• b, ,

## Description

Checks whether the dimension of the polyhedral object is equal to its ambient dimension.

 i1 : C = hypercube 2 o1 = C o1 : Polyhedron i2 : dim C o2 = 2 i3 : ambDim C o3 = 2 i4 : isFullDimensional C o4 = true
 i5 : F = normalFan hypercube 2 o5 = F o5 : Fan i6 : dim F o6 = 2 i7 : ambDim F o7 = 2 i8 : isFullDimensional F o8 = true
 i9 : S = stdSimplex 2 o9 = S o9 : Polyhedron i10 : vertices S o10 = | 1 0 0 | | 0 1 0 | | 0 0 1 | 3 3 o10 : Matrix QQ <--- QQ i11 : dim S o11 = 2 i12 : ambDim S o12 = 3 i13 : isFullDimensional S o13 = false

## Ways to use isFullDimensional :

• "isFullDimensional(PolyhedralObject)"

## For the programmer

The object isFullDimensional is .