April 2, 2013

Problem of the Week

for Tuesday, April 2, 2013

Mr. Salomon had Team A make 20 Zome triangles and connect them with 2 rods to each of 3 triangular neighbors. He had Team B build Zome pentagons and connect them with 2 rods to each of 5 pentagonal neighbors. If both teams ended up constructing identical spherical shapes, how many pentagons did Mr. Salomon ask Team B to build? How many white Zome connector spheres did each team need? How many rods did each team use? (Hint: you might want to refer to the picture below and to the giant Zome construction in the Undercroft.)