The "base" slider allows you to choose what base to represent the chosen irrational numbers and therefore determines the number of directions for the representation. The "number of digits" slider selects how many digits of the chosen irrational numbers to represent. If 3D is selected so that a three-dimensional representation is presented then the "3D method for directions" pull-down menu allows for a choice of two ways of determining the set of possible directions in 3D. Usually the default of "SpringEmbedding" is the best choice, but for some bases, such as 9, "SpringElectricalEmbedding" gives a better representation. When the base is less than 9 then permutations of the canonical ordering of the directions can be made with the "permutation of directions" slider.