An π-pyramid is created with π blocks at the base, π − 1 blocks on the next
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Question:
An π-pyramid is created with π blocks at the base, π − 1 blocks on the next level, until the peak which has 1 block.
Pyramids are colored according to the following rules: (1) Each block can be red, gold, or black, and (2) All 3-block units composed of one block on top of two others must either all be the same color or all be different colors. Answer the following:
a) How many ways are there to color a 7-pyramid?
b) What is the maximum number of black blocks in a 25-pyramid that has at least one red block and at least one gold block?
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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