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Shapely Figures (Posted on 2003-12-12) |
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What are the missing numbers in this sequence of ordered triplets?
{4, 6, ?}
{6, 12, ?}
{8, ?, 6}
{?, 30, 20}
{20, ?, 12}
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Submitted by SilverKnight
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Rating: 2.5000 (4 votes)
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Solution:
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(Hide)
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The five sets should read:
{4, 6, 4}
{6, 12, 8}
{8, 12, 6}
{12, 30, 20}
{20, 30, 12}
These are the number of {Faces, Edges, Vertices} of each of the Platonic solids. You may be familiar with them as the 4 sided, 6 sided, 8 sided, 12 sided, and 20 sided dice. (A 10 sided die is not a Platonic solid.)
A Platonic solid is a polyhedron in which all the faces are congruent, regular polygons, and all the solid angles are equal. There are 5 (and only 5) Platonic solids. |
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