190Tutorial8

Tutorial 8

• Discussed with Nick

• (Mindscape 7, Chapter 5.1 of the textbook)

Consider the following letters made of 1-dimensional line segments:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Which letters are equivalent by distortion? Group equivalent letters together. How many groups are there?

1. A, R
2. B
3. C, G , I, J, L, M, N, S, U, V, W, Z
4. D, O
5. E, F, T Y
6. H
7. K, X
8. P, Q

This was achieved by first removing first one point from each of the letters and counting the number of pieces the letter was split into, and how many forks were on each piece. To further distinguish the letters, pairs of points were taken on letters in the groups in an attempt to further identify unique groups.

There are eight different groups of equivalent letters.