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Picture of How to make a geodesic dome's scale model with cardboard,
What we need:

Pen and paper, a calculator, a pencil, some rulers, a compass, a cutter knife, masking tape, glue, single or double wall corrugated cardboard, a work table and "patience".

Introduction.

Let say you wanna make a dummy of a dome that's 40 feet (40') in diameter and it's comprised of pentagons and hexagons, sort of like the same general layout in a typical soccer ball. Have a look at the 1st. picture. Although in this case, our soccer ball is cut in half (so to speak). That's why it's called a dome. Isn't it? We don't have 12 pentagons and 20 hexagons like in a soccer ball, but only 6 pentagons, 10 hexagons and 5 half hexagons.

Step 1:

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Another difference is that we don't have just plain polygons. Pentagons and hexagons in our dome, are comprised in turn of a series of triangles; as we can see on our fully assembled dome in the picture.
 
Very nice instructable, having built a Dalek as a complete mathematical dunce and having to figure out all the geometry for that I could really have done with this as a template several years ago! These are fascinating structures, a friend has a geodesic dome tent which he built himself using plastic piping and tubing and it's a lovely thing to sit inside.