Per my news to math-teach (Math Forum) earlier today, those visiting New York City have an opportunity to catch up on the distinguished career of a 20th century maverick: a retrospective on Buckminster Fuller at the Whitney.
Fuller's geometric investigations were convergent with many of the hot topics of his day, including sphere packing, cartographic projection, organizing and dissecting polyhedra, plus studying their axially spun counterparts -- the genesis of both the geodesic spheres and domes, for which Bucky is most well known in architectural circles (Montreal '67, radomes etc.).
Shortly after he died in 1983, chemists stumbled upon a hitherto unknown allotrope of carbon, named buckminsterfullerene for being a naturally occurring geodesic sphere (C60, or Bf). Lots of geometry - science segues.
This exhibit follows close on the heels of 'Best of Friends' which was about Fuller's long time collaboration with Isamu Noguchi in particular, the Noguchi Garden Museum being in Long Island City (also well worth seeing, maybe take the cable car to Roosevelt Island, walk across the bridge?). This exhibit later moved to the Henry Ford Museum in Dearborn, where Fuller's Dymaxion House is on permanent display.
I realize school is out for most of us, but summer is a great time to to plan ahead, and Fuller's futurism is an already a proved source of interesting lesson plans. Dig a little deeper, and you'll find a bonanza, a gold mine, of untapped and largely unexplored material.