Applet below shows cross sections by parallel hyperplanes of 720-cells and 1200-cells polytopes built of congruent bipyramids.
Press '1200 cells' or '720 cells' to change the pictures.
See also:
remarks about 1200-cells and 720-cells polytopes built of congruent bipyramids..
Warning: Computer must download about 200 kB of data for each polytope
for an applet to be fully operational.