Mathematically Balanced
Flying Horseduck Sixty Series
Rules for Numbering Layouts
Our numbering layouts are mathematically balanced to do justice to our precision milled dice. The painstaking process that required approximately 100 hours of work over dozens of late nights was worth the result of dice that are as fair and numerically elegant as they are pretty. The numbering layouts of our dice are bound by the following rules.
Rules for all dice:
 Faces with the highest value on a die are each always exactly opposite a face with the lowest value
 The sum of the five faces of any pentagon on a die is within 1 of the sum of any other pentagon (all equal is not possible)
 Pentagons directly opposite each other on the die have equal sums
 Highest and lowest values are spread across the die as evenly as practical
Rules Specific to Each Die:
D4 
D6 
D8 
D10 
D00 
D12 
D20 

Minimum Difference Between Adjacent Faces 
1 
1 
2* 
2 
20 
2 
4 
Mean of a Face and its 3 Adjacent Faces 
1.75 to 3.25 
2.25 to 4.5 
3.0 to 6.0 
3.5 to 7.5 
35.0 to 75.0 
3.75 to 9.25 
5.25 to 15.75 
Notes and Definitions:
 The term "pentagon" is used to collectively refer to 5 faces that completely surround a vertex
 The term "opposite" means the other side of the die; if a die is resting on a face, the opposite face is up
 The term "adjacent" refers to two faces which share an edge
 On the D10 "0" is the value 10 and is considered the highest value on the die
 On the D00 "00" is the value 100 and is considered the highest value on the die
 On the D8 the reroll faces are considered to have the value 4.5, which is the average roll of a D8
 * Reroll faces are ignored in the "Difference Between Adjacent Faces" calculations