FIRE 4

You can target 1 face-up monster on the field; you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters, also Special Summon this card from your hand (but it cannot attack this turn), and if you do, the targeted monster gains 1000 ATK until the end of this turn. You can only use this effect of "Mathmech Addition" once per turn.

EARTH 4

You can target 1 Level 4 Cyberse monster you control; its Level becomes 8 until the end of this turn. If this card is sent to the GY: You can target 1 Cyberse monster you control in the Extra Monster Zone; its ATK becomes doubled until the end of this turn. You can only use each effect of "Mathmech Multiplication" once per turn.

FIRE 4

You can target 1 face-up monster on the field; you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters, also Special Summon this card from your hand (but it cannot attack this turn), and if you do, the targeted monster loses 1000 ATK until the end of this turn. You can only use this effect of "Mathmech Subtraction" once per turn.

EARTH 2

During either player's turn: You can send this card from your hand to the Graveyard; this turn, each time your opponent Special Summons a monster(s), immediately draw 1 card. You can only use 1 "Maxx "C"" per turn.

LIGHT 11

During the Main Phase, if your opponent Normal or Special Summoned 5 or more monsters this turn (Quick Effect): You can Tribute as many face-up monsters on the field as possible, and if you do, Special Summon this card from your hand, then Special Summon 1 "Primal Being Token" (Rock/LIGHT/Level 11/ATK ?/DEF ?) to your opponent's field. (This Token's ATK/DEF become the combined original ATK/DEF of the Tributed monsters.) You can only use this effect of "Nibiru, the Primal Being" once per turn.

WIND 10

1 Tuner + 1+ non-Tuner monsters Once per turn: You can target 1 card on the field; destroy it. Once while face-up on the field, when a card or effect is activated (Quick Effect): You can negate the activation, and if you do, destroy that card. You can only use the previous effect of "Baronne de Fleur" once per turn. Once per turn, during the Standby Phase: You can target 1 Level 9 or lower monster in your GY; return this card to the Extra Deck, and if you do, Special Summon that monster.

FIRE 12

1 Tuner + 1+ non-Tuner monsters Unaffected by card effects, except "Mathmech" cards, while in the Extra Monster Zone. If this card in the Extra Monster Zone battles an opponent's monster, any battle damage it inflicts to your opponent is doubled. If this card is destroyed by battle, or if this card in its owner's possession is destroyed by an opponent's card effect: You can add 1 "Mathmech" card from your Deck to your hand. You can only use this effect of "Geomathmech Final Sigma" once per turn.

WIND 7

1 Tuner + 1+ non-Tuner monsters During your Main Phase: You can destroy Spells/Traps your opponent controls, up to the number of "@Ignister" monsters you control. If another card(s) you control is destroyed by battle or an opponent's card effect, while this card is on the field or in the GY: You can banish this card, then target 1 card your opponent controls; shuffle it into the Deck. You can only use each effect of "Wind Pegasus @Ignister" once per turn.

FIRE 8

1 Tuner + 1+ non-Tuner monsters When this card destroys a monster by battle: You can target up to 2 cards your opponent controls; destroy them. If this card is destroyed by battle, or if this card in its owner's possession is destroyed by an opponent's card effect: You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Geomathmech Magma" once per turn.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

LIGHT 4

When this card is Normal Summoned: You can target 1 Level 4 Cyberse monster in your GY; Special Summon it, but it cannot activate its effects. A "Mathmech" monster that was Synchro or Xyz Summoned using this card on the field as material gains the following effect. ● Once per turn, during the turn this card was Special Summoned, when your opponent activates a card or effect (Quick Effect): You can negate that effect. You can only use each effect of "Mathmech Diameter" once per turn.

DARK 4

You can Tribute 1 Cyberse monster; Special Summon 1 "Mathmech" monster from your Deck. If this card is sent to the GY: You can target 1 Cyberse monster you control in the Extra Monster Zone; it can make up to 2 attacks on monsters during each Battle Phase this turn. You can only use each effect of "Mathmech Nabla" once per turn.

LIGHT 4

If you control no monsters in the Extra Monster Zone, while this card is in your hand or GY: You can Special Summon this card, but banish it when it leaves the field, also you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters. You can only use this effect of "Mathmech Sigma" once per turn. If this card you control is used as Synchro Material for a "Mathmech" monster, you can treat it as a non-Tuner.

LIGHT

2 Level 12 monsters Once per turn, if an Xyz Monster battled this turn, you can also Xyz Summon "Divine Arsenal AA-ZEUS - Sky Thunder" by using 1 Xyz Monster you control as material. (Transfer its materials to this card.) (Quick Effect): You can detach 2 materials from this card; send all other cards from the field to the GY. Once per turn, if another card(s) you control is destroyed by battle or an opponent's card effect: You can attach 1 card from your hand, Deck, or Extra Deck to this card as material.

LIGHT

3 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1. This card is always treated as a "Utopic Future" card.) You can also Xyz Summon this card by using "Number F0: Utopic Future" you control as material. (Transfer its materials to this card.) Cannot be destroyed by battle or card effects. Once per turn, when your opponent activates a monster effect (Quick Effect): You can detach 1 material from this card; negate the activation, then, if that monster is on the field, gain control of it.

LIGHT

2 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1.) Cannot be destroyed by battle, and neither player takes any battle damage from attacks involving this card. At the end of the Damage Step, if this card battled an opponent's monster: You can take control of that opponent's monster until the end of the Battle Phase. If this face-up card on the field would be destroyed by a card effect, you can detach 1 material from this card instead.

EARTH

2+ Level 4 monsters You can Tribute 1 monster; Special Summon 1 Level 4 "Mathmech" monster from your hand or GY. If this card is Xyz Summoned: You can detach 2 to 4 materials from this card, then activate the appropriate effect; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

EARTH

3 Level 4 monsters If a "Mathmech" card(s) you control would be destroyed by card effect, you can detach 1 material from this card instead. If this card is Xyz Summoned: You can detach up to 3 materials from it, then choose that many effects (you cannot choose the same effect twice, and you resolve them in the listed order, skipping any that were not chosen); ● Send 1 random card from your opponent's hand to the GY. ● Send 1 monster your opponent controls to the GY. ● Send 1 Spell/Trap your opponent controls to the GY. You can only use this effect of "Primathmech Laplacian" once per turn.

DARK

2 Level 4 monsters Once per turn, during the Standby Phase: You can attach the top card of your opponent's Deck to this card as material. (Quick Effect): You can detach up to 3 different types of materials from this card, then apply the following effect(s) depending on what was detached. ● Monster: Banish this card until the End Phase. ● Spell: Draw 1 card. ● Trap: Place 1 face-up card your opponent controls on the top of the Deck. You can only use this effect of "Time Thief Redoer" once per turn.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Quick

Send any number of other cards from your hand and/or field to the GY; choose that many Effect Monsters your opponent controls, and until the end of this turn, their ATK is halved, also their effects are negated. In response to this card's activation, your opponent cannot activate cards, or the effects of cards, with the same original type (Monster/Spell/Trap) as the cards sent to the GY to activate this card. You can only activate 1 "Forbidden Droplet" per turn.

Spell Normal

Target 1 monster in either GY; Special Summon it.

Spell Normal

Banish 10 cards from the top of your Deck, face-down; draw 2 cards. You can only activate 1 "Pot of Desires" per turn.

Spell Normal

Destroy all monsters your opponent controls.

Trap Normal

At the end of the Battle Phase, if your opponent controls more cards than you do: You can make your opponent banish cards from their field face-down so they control the same number of cards as you do. If you control no cards, you can activate this card from your hand.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.

Trap Normal

Target up to 3 "Mathmech" monsters in your GY with different names, then activate 1 of these effects; ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Synchro Summon 1 "Mathmech" Synchro Monster using only those monsters, and shuffle the materials into the Deck instead of sending them to the GY. ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Xyz Summon 1 "Mathmech" Xyz Monster using only those monsters. You can only activate 1 "Mathmech Superfactorial" per turn.

EARTH 2

During either player's turn: You can send this card from your hand to the Graveyard; this turn, each time your opponent Special Summons a monster(s), immediately draw 1 card. You can only use 1 "Maxx "C"" per turn.

LIGHT 11

During the Main Phase, if your opponent Normal or Special Summoned 5 or more monsters this turn (Quick Effect): You can Tribute as many face-up monsters on the field as possible, and if you do, Special Summon this card from your hand, then Special Summon 1 "Primal Being Token" (Rock/LIGHT/Level 11/ATK ?/DEF ?) to your opponent's field. (This Token's ATK/DEF become the combined original ATK/DEF of the Tributed monsters.) You can only use this effect of "Nibiru, the Primal Being" once per turn.

WIND 10

1 Tuner + 1+ non-Tuner monsters Once per turn: You can target 1 card on the field; destroy it. Once while face-up on the field, when a card or effect is activated (Quick Effect): You can negate the activation, and if you do, destroy that card. You can only use the previous effect of "Baronne de Fleur" once per turn. Once per turn, during the Standby Phase: You can target 1 Level 9 or lower monster in your GY; return this card to the Extra Deck, and if you do, Special Summon that monster.

FIRE 12

1 Tuner + 1+ non-Tuner monsters Unaffected by card effects, except "Mathmech" cards, while in the Extra Monster Zone. If this card in the Extra Monster Zone battles an opponent's monster, any battle damage it inflicts to your opponent is doubled. If this card is destroyed by battle, or if this card in its owner's possession is destroyed by an opponent's card effect: You can add 1 "Mathmech" card from your Deck to your hand. You can only use this effect of "Geomathmech Final Sigma" once per turn.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

LIGHT

2 Level 12 monsters Once per turn, if an Xyz Monster battled this turn, you can also Xyz Summon "Divine Arsenal AA-ZEUS - Sky Thunder" by using 1 Xyz Monster you control as material. (Transfer its materials to this card.) (Quick Effect): You can detach 2 materials from this card; send all other cards from the field to the GY. Once per turn, if another card(s) you control is destroyed by battle or an opponent's card effect: You can attach 1 card from your hand, Deck, or Extra Deck to this card as material.

LIGHT

3 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1. This card is always treated as a "Utopic Future" card.) You can also Xyz Summon this card by using "Number F0: Utopic Future" you control as material. (Transfer its materials to this card.) Cannot be destroyed by battle or card effects. Once per turn, when your opponent activates a monster effect (Quick Effect): You can detach 1 material from this card; negate the activation, then, if that monster is on the field, gain control of it.

EARTH

2+ Level 4 monsters You can Tribute 1 monster; Special Summon 1 Level 4 "Mathmech" monster from your hand or GY. If this card is Xyz Summoned: You can detach 2 to 4 materials from this card, then activate the appropriate effect; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

DARK

2 Level 4 monsters Once per turn, during the Standby Phase: You can attach the top card of your opponent's Deck to this card as material. (Quick Effect): You can detach up to 3 different types of materials from this card, then apply the following effect(s) depending on what was detached. ● Monster: Banish this card until the End Phase. ● Spell: Draw 1 card. ● Trap: Place 1 face-up card your opponent controls on the top of the Deck. You can only use this effect of "Time Thief Redoer" once per turn.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Quick

Send any number of other cards from your hand and/or field to the GY; choose that many Effect Monsters your opponent controls, and until the end of this turn, their ATK is halved, also their effects are negated. In response to this card's activation, your opponent cannot activate cards, or the effects of cards, with the same original type (Monster/Spell/Trap) as the cards sent to the GY to activate this card. You can only activate 1 "Forbidden Droplet" per turn.

Spell Normal

Target 1 monster in either GY; Special Summon it.

Spell Normal

Destroy all monsters your opponent controls.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.