The Three Jugs Problem, Barycentric coordinates

Miscellaneous Topics
#1

Hello,
I am just trying to understand the theory behind the “The Three Jugs Problem”. I found this [1] site explaining a bit about the background, but have problems to generalize the problem.
How would I use the Barycentric coordinates as example for 4 or 5 jars? Am I supposed to simply use more dimensions? That would left me with 4 dimensions for 5 jars?
It would be nice if somebody could provide me with some help or a hint.
-ClaasJG

[1] http://www.cut-the-knot.org/triangle/glasses.shtml
#2

For four jars you would draw it as a tetrahedron. It has one more vertex D (for the new jar) and three more edges for pouring water from jars A<->D, B<->D, and C<->D.

For five jars you add another vertex and four more edges. Drawing it in 2D becomes a pain.

#3

Thanks for the clarification.
I got some struggle there, whether I had to use a Quad for 4 Jars or a tetrahedron.

-ClaasJG