@11011110 @robinhouston I was even more confused when I read the Dutch Wikipedia article in Firefox's translation, because it said

"Together they form a twenty-plane with fourteen equilateral and six equilateral triangles."

That seemed like a strange way of saying "twenty equilateral triangles"! But reverting to the Dutch, it's actually using two different words, fourteen "gelijkbenige" and six "gelijkzijdige". According to Wiktionary, the first of those means "isosceles", not "equilateral". Firefox's translation made a goof.

So this is apparently not a _regular_ icosahedron. Does that affect the question of whether it's chiral, perhaps?

@robinhouston that would explain why I couldn't quite see some of the icosahedron edges in the photos! I found it quite hard to work out what was going on, because the wires are so thin and often the same colour as the background.

I did remember a construction I'd seen in a Johnny Ball book as a child, in which you make a regular icosahedron by slotting three 1 × φ rectangular cards together and then connecting the 12 corners of the cards with string. If you changed the aspect ratio of those cards, that would also be a way to make an icosahedron with 14 isosceles faces and 6 equilateral which was still not chiral.