Woody Evans figured out how to build a perfectly proportioned hexayurt model from a single 4′x8′ sheet of board material.

It’s a very very clever bit of work, and pictures and the diagram are below.

If you change the cut pattern a little, you can get six walls 4/5ths of a square high.

Here’s how:

Cut the board two, along the long axis, giving you two 2′ x 8′ pieces.

Cut one of those pieces into five identical rectangles.

Cut the other as described to give you the triangles, plus a square, which you trim down into the sixth rectangle.

Not *quite* as elegant as the five wall because it produces some wastage, but workable.

Update – now links to Woody’s page – I didn’t realize he’d posted this!