By Bruce Nesmith
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Additional resources for Greyspace (Advanced Dungeons & Dragons Spelljammer)
84. A CUBE WITH HOLES IN IT Several tiny cubes were glued together to form a 5×5×5 hexahedron in such a way that three hollow tunnels were created running across the whole solid. Their cross-sections were blackened in the figure below. Then, another such hexahedron was formed in the same way, also with hollow tunnels, but of a different shape. How many small cubes were used to build each of these hexahedrons with holes in them? And how many cubes form the hollow hexahedrons presented in the pictures below?
AM I THE POWER? , 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0, occurs the same number of times. Could this number be a power of 2? 66. A USED UP WHEEL Michael and Matthew chipped in to buy a grinding wheel (22 inches in diameter) with a 31/7 inch mounting hole in the middle. Since they live 10 miles apart, they agreed that Matthew would be the first to take it, and when half of it would be used up, he would give it to Michael. What diameter will the wheel have when it changes hands? Clue: The circle’s area is expressed as πR2, where R is the length of the radius.
If we randomly take 25 balls out of the box, among our picks will always be at least three white, at least five blue, and at least seven black balls. How many balls of each color are there in the box? 95. ” Connect each pair of points with a line segment, using either red or blue color in such a way as not to get a one-color triangle. If you perform the task successfully, I will give you a chocolate bar. Has Sophie been given the prize? 96. STEM UP, STEM DOWN Five wineglasses have been arranged in a row as shown in the picture below and numbered from 1 to 5.
Greyspace (Advanced Dungeons & Dragons Spelljammer) by Bruce Nesmith