Brain Teasers
Dimension
Series
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.Series
1,1,infinity,5,6,?
What is the next number?
What is the next number?
Hint
The title gives the clue.Answer
3.In 0-D, there is a dot. Nothing else. So, there is one.
In 1-D, the line, is the only one.
In 2-D there are infinity regular polygons
In 3-D, 5 Platonic Solids appear:
tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
In 4-D, 6 regular polytopes show:
5-cell, 8-cell, 12-cell, 24-cell, 120-cell, and 600-cell.
In the fifth dimension, only the simplex, hypercube, and cross polytope are regular.
This leaves us with 3 as our answer.
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