Notation systems for sequences of permutations
Matt Peperell
tw: @mattpep
MathsJam UK 2021
https://slides.com/mattpep/permutation-sequences/live
Who would want to do this?
What are our constraints?
- Start and end in the order 1...8 (or 1...6, or whatever)
- Each item can change a maximum of ±1 place between successive permutations
- No repeats (well, almost)
Let's see one of these sequences
The first two rows
The first three rows
Let's revisit that first sequence in full
Place notation
X 16
In diagram form?
In diagram form?
Let's ramp up the complexity
X36X14X12X36X14X,56,12
Let's ramp up the complexity
Thank you
Matt Peperell
tw: @mattpep