Lighting up time

This lampshade was photographed in Rimini in Italy. In Africa candle holders exactly like this are often made from wire.

• Do you know the mathematical name for this shape?
• Can you see lots of triangles?
• What "type" of triangles are they and how many of them were needed to make this lampshade?
• What other shapes can you see?
• Could you make a polyhedron like this from card? How would you do it?

There's another image you might like to take a look at in the Notes .