To construct a cardboard star you need to cut five kite-shaped pieces HFBG,
where the dimensions are given by
For example with h = 3.236 you can fit two kites on an 8.5 by 11 sheet.
Crease each kite to form a "mountain" along the dotted line in the diagram. Turn the kites over and tape each edge HF to HG.
When you tape the last two edges together, the star takes on the three dimensional shape shown in the picture below.