Open either application Draw4D or Draw4D27 by double-clicking.

Draw4D has black background.
Draw4D27 has white background, and also some 3D-only figures about 27 lines.

Clicking on the box on the upper right part of the bar over the window toggles
between a full-size window and a half-size window.
The half-size window might be easier for 3D viewing in stereo  
like Morse and Feshbach figures.

The applications should  stay in the same folder as the simplex, cross, hypercube,
24Cell, grid, 45pt27ln, and 135pt27ln data files, because the applications call 
the data files to draw the pictures.

The Animate menu on 4D27 gives the number of repetitions of a selected 
Rotation or Boost through the selected Angle to produce the animation.  

Vertex figures of a 24-cell D4 lattice:
there are 24 lines leading from the vertex; and
there are 16 light-cone lines leading from the vertex.
There is no 3-D slice capability for the vertex figures.