visualization - How to visualize simplex? -

let's have n-simplex , grid on it. every point of grid evaluate function. don't know how visalize data received evaluation.

would me approach represent simplex in 3-d or 2-d, quite interpretation? of course it's allowed representation not quite accurate.

try find number of each poly tonic faces n-simplex using pascal triangle. give colour each of face.combine them convex hull.