Discover Boggler, February 2001


	The Discover Boggler By Scott Kim

Feb 2001

A Bevy of Boxes
The theme this month is cubes.

No Matter How You Slice It. Based somewhat on last month's puzzle One Man's Monolith Is Another Man's Tetrahedron.

Shape, Rattle and Roll. Based on a similar puzzle that I created for NeXTWORLD magazine.

Cubist Revival. Similar to Box Steps, in the March 2000 issue of Discover.

IMPROVEMENT: Alan Schaffner found an improvement to part 3, which asks you to fold a 1x15-inch rectangle to cover the surface of a cube that measure more than 1 inch on each edge. My solution required rotating the strip 45 degrees to the edges of the cube. Here is how he describes his solution:
Alan Shaffner: When I started I made an assumption that the solution could actually be folded. Since a 1.5 inch square was impossible ( having an area of 13.5 sq. inches), I decided to try a 1.25 inch square. Prior to starting, I folded each square in half twice and again at 90 degrees to create a grid of 16 (.25) inch folds in each 1 inch square.
My top uses 4.25 inches to get the top with a complete .25 wrap. I start with a .25 wrap then use 1.25 for the length of the top then I make the first of two 90 degree turns. On my turns only 9 of the squares overlap verses 16 for your solution- the .25 wrap has no extra during the two 90 degree turns. Nothing needs be tucked under. I use 6 inches to get the band- the band is 5 inches (4 * 1.25), plus the two 90 degree bends which waste a half a square each. The bottom uses 3.75 inches and mimics the approach for the top. This is 14 inches.