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

== A different Magical Idea ==

=== Mana ===
Mana (singular and plural Mana) is an ephemeral, fungible, non-transferrable item.

Each phase, each player is granted 1 Mana.

=== 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]

=== Spell: Gather Power ===
A player can Gather Power by posting their intent to #game-actions, revoking any amount of Mana in their possession, and specifying a Thaum. When they do so, update the specified Thaum for that player to its current value plus the amount of Mana revoked.

=== Spell: Blood Magic ===
Once per phase, a player can Cast Blood Magic by posting their intent to #game-actions, specifying a number, and specifying a Thaum. When they do so, update the specified Thaum for that player to its current value minus the amount specified. Then, grant that player Mana equal to how much that Thaum has actually decreased as a result of this action.

=== Spell: Alchemy ===
A player can Cast Alchemy by posting their intent to #game-actions, revoking any amount of Mana in their possession, and specifying two different Thaum. When they do so, grant that player N coins, where N is the amount of Mana revoked multiplied by the value of the first Thaum multiplied by the value of the second Thaum. If N is negative, revoke negative N coins from that player instead. Then, set those Thaums to 0.

=== Spell: Bending ===
A player can Cast Bending by posting their intent to #game-actions, revoking any amount of Mana in their possession, and specifying a defending player. Set the defending player's Thaum to the result of multiplying the the posting player's Thaums (as a column) by the strength matrix, and multiplying by the amount of Mana revoked, and adding this vector to the defending player's vector. Then, set all the Thaums of the player who posted to 0.

=== Spell: Summoning ===
A player can Cast Summoning by posting their intent to #game-actions, revoking any amount of Mana in their possession, and specifying another player. When they do so, grant the posting player and the specified player N coins, where N is the result of multiplying the posting player's Thaums (as a column) by the strength matrix, and multiplying that by the transposed specified player's Thaums. If N is negative, instead revoke negative N coins from both players. Then, set all the Thaums of both players to 0.

=== Spell: Tornado ===
Once per phase, a player can Cast Tornado by posting their intent to #game-actions, revoking any amount of Mana in their possession and specifying another player. When they do so, for each Mana revoked:

# Randomly select a Thaum. 
# Randomly select either themself or the specified player.
# Randomly select either -1 or 1, as K.
# Set the selected Thaum of the selected player to its current value plus K multiplied by the posting player's Air Thaum.

Then, set the posting player's Air Thaum to 0.