Questions, Problems, & Conjectures
about
SYMMETRY & GROUPS
From the 2006 ReSEARCH Group
Patterns from ReSEARCH Session 4: Patterns
observed in Addition and Multiplication Tables for various mods
1. On the multiplication table for the 11 clock, in every column the # after increases by 1.
2. On the multiplication table for the 11 clock, in column 3 there is
a pattern of differences.
3. In every table, the 1st row and 1st column are the same.
4. On the multiplication table for the 11 clock, you keep subtracting
3.
5. Look @ concentric squares – there are reflections along the
diagonal.
6. There are column repeats for the multiplication table for the 6 clock:
6 times, 2 times, 3x, 2x, 6x.
7. There are diagonal patterns for addition.
8. In the multiplication tables for 1,6,10,14 the # in the middle of
the diagonal is 1,3,5,7 respectively.