We present the full three dimensionality of an electrostatically calculated stability diagram for triple quantum dots. The stability diagram maps out the favored charge configuration of the system as a function of potential shifts due to gate voltages. For triple dots only a three-dimensional visualization allows for the complete identification of all its components. Those are most notably the so-called quadruple points where four electronic configurations are degenerate, and quantum cellular automata processes. The exact positions of these features within the stability diagram are now revealed. Furthermore, the influence on transport is studied by comparing the model with a two-path triple quantum dot made with local anodic oxidation. The two-path setup allows us to study the influence of the dots' arrangement.