☰
Home
Old Masters ★The Wolf, the Goat, and the Cabbage ★Sending Secrets ★★ Sock Search ★★ Absurd Answers ★★ Growing Water Lily ★★ Jolly Jugs ★★ Colorful Chameleons ★★ [New!]Turning Cards ★★Guess What ★★Thoughtless Thief ★★Tick-Tack-Toe ★★The Round Table ★★Happy Handshaking ★★Lighting Bulb ★★Apples and Pears ★★Fun with Fuses ★★Family Fuss ★★★ Chessboard Chunks ★★★ Wagon Works ★★★ Little Lies ★★★ Square Circles ★★★ Placing Bricks ★★★ Troubled Traveler ★★★ Barbara's Boxes ★★★ Alien Alert ★★★ At School ★★★ 
List of All PuzzlesAbout this SiteSend an E-mailPrivacy Policy

Solution to: Chessboard Chunks

No, it is not possible to cut the chessboard paper into pieces such that each piece has twice as much squares of one color than of the other color.

If it would be possible, then every piece would have a number of squares divisible by 3 (because if a piece has n squares of one color and 2 × n squares of the other color, it has 3 × n squares in total). The total number of squares of all pieces would then also be divisible by 3. This is, however, impossible since the total number of squares on the chessboard is 64, which is not divisible by 3.


Back to the puzzle
×
OK