Table of Contents
Introduction
A Question about Dice
Rowett's Dice
Rowett's Dice - Head to Head
Balanced Non-Transitive Dice
Balanced Dice - Head to Head
Tournament Diagram
Rock, Paper, Sissors
Numbering the Dice
The Diagonal Decides
The Three Diagonals
The Rows Exhibit the Diagonal
Getting Bigger
Face Sums for a Die
Face Sums for n Dice
Building a Set of 5 Dice
Two Cycles in 5 Dice
The 5-Dice Tournament
Rock, Paper, Sissors, Lizard, Spock
Rock, Paper, Sissors, Lizard, Spock
Dice Voter Profiles
Dice Equals Profile
A Tournament on 7 Nodes
Profile to Dice
Dice Voter Profiles
Three Cycles in 7 Dice
Three Cycles in 7 Dice
Three Cycles on 7 Nodes
Getting Even Bigger
Bozóki's Results
Cervone's Results
n-Sided Dice
Two Dice form a 9-Sided Die
A 9-Sided Die with Any Numbers
Conclusion