How to visualize simplex?

Question

Let's say I have n-simplex and a grid on it. For every point of the grid I evaluate a function. But I truly don't know how to visalize the data received by this evaluation.

Would you help me with any approach to represent a simplex in 3-D or 2-D, which is quite good for an interpretation? Of course it's allowed for representation to be not quite accurate.

Answer 1

Try to find the number of each poly tonic faces for the n-simplex using the pascal triangle. Give a colour to each of the face.combine them by a convex hull.