Matt Peperell
Primary interests: Linux, languages, bridge, vim. On the side: Ruby, javascript, mathematics
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
Sequences of permutations
By Matt Peperell
Sequences of permutations
A certain subset of people, who may or may not be mathematicians, care about permutations and sequences thereof. How can we describe these, and how can we easily commit them to memory?
