Monday, February 23, 2015
Tuesday, February 10, 2015
Toothpick Perimeter Problem
It is possible to make an area as small as 2 square units (and perhaps smaller?) with 12 toothpicks! For the solution, click here.
Monday, February 2, 2015
Solution: The sum of any two opposite faces of a die is 7. So, excluding the top face, the sum of the numbers on the 3-dice tower is always equal to 7 x 2 x 3 = 42, and it doesn't matter how we arrange the dice. The only thing that affects the total sum is the number showing on the top, which can be any number from 1 to 6. So the minimum sum is 42 + 1 = 43 and the maximum sum is 42 + 6 = 48. For 20 dice, the minimum sum is 7 x 2 x 20 + 1 = 281 and the the maximum sum is 7 x 2 x 20 + 6 = 286. For n dice, the minimum sum is 7 x 2 x n + 1 and the maximum sum is 7 x 2 x n + 6.
Subscribe to: Posts (Atom)
PLAYFUL MATH BLOG CARNIVAL #163
BLOG CARNIVAL #163....LET'S GO! Fun fact: The number 163 is prime, which we can prove simply by showing that it is not divisible by 2, 3...
The scales below are balanced. Each scale is a different puzzle. For each scale, start by taking off as many blocks as you can from each si...
To a topologist, two shapes are "the same" if one can be stretched, twisted, and distorted into the other shape without b...
For the solution, click "Read More" below.