  Trivalent plane graphs are used in various areas of mathematics which relate
for instance to the colored Jones polynomial, invariants of 3-manifolds and
quantum computation. Their evaluation is based on computations in the
Temperley-Lieb algebra and more specifically the Jones-Wenzl projectors. We use
the work by Kauffman-Lins to present a quantum combinatorial approach for
evaluating a tetrahedral net. On the way we recover two equivalent definitions
for the unsigned Stirling numbers of the first kind and we provide an equality
for the quantized factorial using these numbers.
