Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon; geon A to upper left of geon B; geon A to the left of geon B; and so forth). Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. we'll start by creating a two-geon pair of A and B; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relatios. how many distinct three-geon objects do we have in this space? R = ?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 19E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon; geon A to upper left of geon B; geon A to the left of geon B; and so forth). Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. we'll start by creating a two-geon pair of A and B; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relatios. how many distinct three-geon objects do we have in this space? R = ?

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