Editing User:4st/Cycle 13 Ideas (section)

=== Thaum ===
Each player has 4 properties, called Thaums (singular Thaum), which are initially 0 and are integers in the range from -10 to 10. These properties are Fire, Water, Earth, and Air.

Each ordered pair of properties has a strength, forming a matrix. The attacking Thaum is the first Thaum in the pair, and the defending Thaum is the second Thaum in the pair. These pairs can be seen in the below table:
{| class="wikitable"
|+
!
!Defending
!Fire
!Water
!Earth
!Air
|-
!Attacking
|
|
|
|
|
|-
!'''Fire'''
|
|0
| -1
|1
|2
|-
!'''Water'''
|
|2
|0
| -1
|1
|-
!'''Earth'''
|
|1
|2
|0
| -1
|-
!'''Air'''
|
| -1
|1
|2
|0
|}
Each Thaum has a Defeats property, which is a Thaum. Fire Defeats Air, Water Defeats Fire, Earth Defeats Water, and Air Defeats Earth. 

These properties can be considered as a 1x4 column vector [Fire, Water, Earth, Air]