There are two of these in the park before the palace.
I love them, as do many other Stuttgarters. The pair were installed before the palace in 1863 on the birthday of King Wilhelm I. Figures representing just eight out of the many rivers of Württemberg are on the base of the two massive fountain: four on each.
At night they are lit up and beautiful as well.
Other views of the fountain and buildings on the palace square can be found on my blog here: Stuttgart Palace Square