EARTH 8

During your opponent's turn, if this card is in your hand or GY (Quick Effect): You can target 1 "Centur-Ion" monster you control, except "Centur-Ion Emeth VI"; place it in your Spell & Trap Zone as a face-up Continuous Trap, and if you do, Special Summon this card, also you cannot Special Summon "Centur-Ion Emeth VI" for the rest of this turn. During the Main Phase, if this card is a Continuous Trap: You can Special Summon this card. You can only use each effect of "Centur-Ion Emeth VI" once per turn.

DARK 8

You can send 1 face-up "Centur-Ion" card you control to the GY; Special Summon this card from your hand, also you cannot Special Summon "Centur-Ion Gargoyle II" for the rest of this turn. If this card is sent to the GY as Synchro Material: You can add this card to your hand. During the Main Phase, if this card is a Continuous Trap: You can Special Summon this card, then you can reduce its Level by 4. You can only use each effect of "Centur-Ion Gargoyle II" once per turn.

DARK 4

During your Main Phase: You can place this card you control and 1 "Centur-Ion" monster from your hand or Deck, except "Centur-Ion Trudea", in your Spell & Trap Zones as face-up Continuous Traps, also you cannot Special Summon "Centur-Ion Trudea" for the rest of this turn. During the Main Phase, if this card is a Continuous Trap: You can Special Summon this card, then you can increase its Level by 4. You can only use each effect of "Centur-Ion Trudea" 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 gains 1000 ATK until the end of this turn. You can only use this effect of "Mathmech Addition" once per turn.

LIGHT 4

You can send 1 "Mathmech" monster, except "Mathmech Circular", from your Deck to your GY; Special Summon this card from your hand, also you can only attack with 1 monster for the rest of this turn. If a "Mathmech" monster is Normal or Special Summoned to your field while you control this monster (except during the Damage Step): You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Mathmech Circular" once per turn.

EARTH 4

You can Tribute 1 Cyberse monster you control in the Extra Monster Zone; Special Summon up to 1 Level 4 Cyberse monster each from your hand and GY. If this card is sent to the GY: You can target 1 face-up monster on the field; its ATK becomes halved until the end of this turn. You can only use each effect of "Mathmech Division" 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.

DARK 12

1 Tuner + 1+ non-Tuner monsters Face-up cards in your Spell & Trap Zone cannot be destroyed by card effects. You can only use each of the following effects of "Centur-Ion Auxila" once per turn. If this card is Special Summoned: You can add 1 "Centur-Ion" card from your Deck to your hand. During the End Phase: You can place 1 of your non-Synchro "Centur-Ion" monsters that is banished or in your GY, in your Spell & Trap Zone as a face-up Continuous Trap.

LIGHT 12

1 Tuner + 1+ non-Tuner monsters Your monsters with 2000 or less ATK cannot be destroyed by battle. You can only use each of the following effects of "Centur-Ion Legatia" once per turn. If this card is Special Summoned: You can draw 1 card, then you can destroy the monster your opponent controls with the highest ATK (your choice, if tied). During the End Phase: You can place 1 non-Synchro "Centur-Ion" monster from your hand or GY in your Spell & Trap Zone as a face-up Continuous Trap.

WIND 12

1 Tuner Synchro Monster + 2+ non-Tuner Synchro Monsters Must be Synchro Summoned. (Quick Effect): You can banish this card until the End Phase to activate 1 of these effects; ● When your opponent activates a card or effect: Negate the activation, and if you do, destroy that card. ● When your opponent would Summon a monster(s): Negate the Summon, and if you do, destroy that monster(s). ● When an opponent's monster declares an attack: Negate the attack, then end the Battle Phase.

LIGHT 12

1 Tuner + 1+ non-Tuner monsters If this card is Special Summoned: You can add 1 Spell/Trap that mentions "Crimson Dragon" from your Deck to your hand. (Quick Effect): You can target 1 Level 7 or higher Synchro Monster on the field, except "Crimson Dragon"; return this card to the Extra Deck, and if you do, Special Summon 1 Dragon Synchro Monster from your Extra Deck with the same Level as the targeted monster. (This is treated as a Synchro Summon.) You can only use each effect of "Crimson Dragon" once per turn.

LIGHT 12

1 Level 4 Tuner + 1+ non-Tuner monsters Once per turn, if a card(s) leaves the Extra Deck (except during the Damage Step): You can make all monsters you currently control gain 500 ATK (permanently), then you can negate the effects of 1 face-up card on the field, until the end of this turn. During the End Phase, if this card is in the GY because it was sent there this turn: You can Special Summon 1 LIGHT Spellcaster monster from your hand or Deck whose ATK equals its own DEF. You can only use this effect of "Despian Luluwalilith" once per turn.

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.

DARK 12

3 Tuners + 1+ non-Tuner Synchro Monsters Must first be Synchro Summoned. Gains 500 ATK for each Tuner in your GY. Cannot be destroyed by your opponent's card effects. Once per turn, when your opponent's monster effect is activated, or when an opponent's monster declares an attack (Quick Effect): You can activate this effect; banish this card, also banish all cards your opponent controls. Once per turn, during your next End Phase after this card was banished by its own effect: Special Summon this banished card.

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 4

While this card is a Continuous Trap, Level 5 or higher "Centur-Ion" monsters you control cannot be destroyed by card effects. You can only use each of the following effects of "Centur-Ion Primera" once per turn. If this card is Normal or Special Summoned: You can add 1 "Centur-Ion" card from your Deck to your hand, except "Centur-Ion Primera", also you cannot Special Summon "Centur-Ion Primera" for the rest of this turn. During the Main Phase, if this card is a Continuous Trap: You can Special Summon this card.

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.

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.

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

Place 1 "Centur-Ion" monster from your hand or GY in your Spell & Trap Zone as a face-up Continuous Trap. If a "Centur-Ion" Synchro Monster(s) is Special Summoned to your field, while this card is in your GY (except during the Damage Step): You can banish this card, then target 1 "Centur-Ion" monster in your GY; place it in your Spell & Trap Zone as a face-up Continuous Trap. You can only use each effect of "Centur-Ion Bonds" once per turn.

Spell Normal

Send 1 card from your hand to the GY; add 1 Level 4 or lower Cyberse monster from your Deck to your hand. You can only activate 1 "Cynet Mining" per turn.

Spell Quick

Activate 1 of these effects; ● Place 1 "Centur-Ion" monster from your Deck in your Spell & Trap Zone as a face-up Continuous Trap. For the rest of this turn, while you control that card, or any card with that same original name, you cannot Special Summon from the Extra Deck, except "Centur-Ion" monsters. ● Set 1 "Centur-Ion" Spell/Trap directly from your Deck. You can only activate 1 "Emblema Oath" per turn.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Equip

Equip only to a Cyberse monster. If the equipped monster battles an opponent's monster, during damage calculation: You can send 1 "Mathmech" monster from your Deck to the GY; the equipped monster gains ATK equal to the sent monster's ATK, until the end of this turn (even if this card leaves the field). If this card is sent from the Spell & Trap Zone to the GY: You can target 1 "Mathmech" card in your GY, except "Mathmech Billionblade Nayuta"; add it to your hand. You can only use each effect of "Mathmech Billionblade Nayuta" once per turn.

Spell Field

Cannot be destroyed by your opponent's card effects while you control a "Centur-Ion" Monster Card. You can only use each of the following effects of "Stand Up Centur-Ion!" once per turn. During your Main Phase, if this card was activated this turn: You can send 1 card from your hand to the GY; place 1 "Centur-Ion" monster from your Deck in your Spell & Trap Zone as a face-up Continuous Trap. If a monster(s) is Special Summoned, you can: Immediately after this effect resolves, Synchro Summon 1 Synchro Monster, using monsters you control as material, including a "Centur-Ion" monster.

Spell Normal

If your opponent has activated a monster effect during your Main Phase this turn: Activate 1 of these effects; ● Draw 2 cards. ● Take control of 1 monster your opponent controls until the End Phase. ● Look at your opponent's hand, and choose 1 card from it to shuffle into the Deck. You can only activate 1 "Triple Tactics Talent" per turn.

Spell Normal

If your opponent has activated a monster effect during this turn: Set 1 Normal Spell/Trap directly from your Deck, except "Triple Tactics Thrust", or if your opponent controls a monster, you can add it to your hand instead. That Set card cannot be activated this turn. You can only activate 1 "Triple Tactics Thrust" per turn.

Spell Quick

If a Monster Card is face-up in your Spell & Trap Zone: You can declare Level 4 or 8; Special Summon 1 "Centur-Ion Token" (Pyro/DARK/ATK 0/DEF 0) with the declared Level, but it cannot be used as Fusion or Link Material. During your Main Phase: You can banish this card from your GY; send 1 "Centur-Ion" card from your Deck to the GY, except "Wake Up Centur-Ion!". You can only use each effect of "Wake Up Centur-Ion!" once per turn.

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.

LIGHT 4

You can send 1 "Mathmech" monster, except "Mathmech Circular", from your Deck to your GY; Special Summon this card from your hand, also you can only attack with 1 monster for the rest of this turn. If a "Mathmech" monster is Normal or Special Summoned to your field while you control this monster (except during the Damage Step): You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Mathmech Circular" 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.

DARK 12

1 Tuner + 1+ non-Tuner monsters Face-up cards in your Spell & Trap Zone cannot be destroyed by card effects. You can only use each of the following effects of "Centur-Ion Auxila" once per turn. If this card is Special Summoned: You can add 1 "Centur-Ion" card from your Deck to your hand. During the End Phase: You can place 1 of your non-Synchro "Centur-Ion" monsters that is banished or in your GY, in your Spell & Trap Zone as a face-up Continuous Trap.

LIGHT 12

1 Tuner + 1+ non-Tuner monsters Your monsters with 2000 or less ATK cannot be destroyed by battle. You can only use each of the following effects of "Centur-Ion Legatia" once per turn. If this card is Special Summoned: You can draw 1 card, then you can destroy the monster your opponent controls with the highest ATK (your choice, if tied). During the End Phase: You can place 1 non-Synchro "Centur-Ion" monster from your hand or GY in your Spell & Trap Zone as a face-up Continuous Trap.

WIND 12

1 Tuner Synchro Monster + 2+ non-Tuner Synchro Monsters Must be Synchro Summoned. (Quick Effect): You can banish this card until the End Phase to activate 1 of these effects; ● When your opponent activates a card or effect: Negate the activation, and if you do, destroy that card. ● When your opponent would Summon a monster(s): Negate the Summon, and if you do, destroy that monster(s). ● When an opponent's monster declares an attack: Negate the attack, then end the Battle Phase.

LIGHT 12

1 Tuner + 1+ non-Tuner monsters If this card is Special Summoned: You can add 1 Spell/Trap that mentions "Crimson Dragon" from your Deck to your hand. (Quick Effect): You can target 1 Level 7 or higher Synchro Monster on the field, except "Crimson Dragon"; return this card to the Extra Deck, and if you do, Special Summon 1 Dragon Synchro Monster from your Extra Deck with the same Level as the targeted monster. (This is treated as a Synchro Summon.) You can only use each effect of "Crimson Dragon" once per turn.

LIGHT 12

1 Level 4 Tuner + 1+ non-Tuner monsters Once per turn, if a card(s) leaves the Extra Deck (except during the Damage Step): You can make all monsters you currently control gain 500 ATK (permanently), then you can negate the effects of 1 face-up card on the field, until the end of this turn. During the End Phase, if this card is in the GY because it was sent there this turn: You can Special Summon 1 LIGHT Spellcaster monster from your hand or Deck whose ATK equals its own DEF. You can only use this effect of "Despian Luluwalilith" once per turn.

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.

DARK 12

3 Tuners + 1+ non-Tuner Synchro Monsters Must first be Synchro Summoned. Gains 500 ATK for each Tuner in your GY. Cannot be destroyed by your opponent's card effects. Once per turn, when your opponent's monster effect is activated, or when an opponent's monster declares an attack (Quick Effect): You can activate this effect; banish this card, also banish all cards your opponent controls. Once per turn, during your next End Phase after this card was banished by its own effect: Special Summon this banished card.

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 4

While this card is a Continuous Trap, Level 5 or higher "Centur-Ion" monsters you control cannot be destroyed by card effects. You can only use each of the following effects of "Centur-Ion Primera" once per turn. If this card is Normal or Special Summoned: You can add 1 "Centur-Ion" card from your Deck to your hand, except "Centur-Ion Primera", also you cannot Special Summon "Centur-Ion Primera" for the rest of this turn. During the Main Phase, if this card is a Continuous Trap: You can Special Summon this card.

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.

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 Normal

Send 1 card from your hand to the GY; add 1 Level 4 or lower Cyberse monster from your Deck to your hand. You can only activate 1 "Cynet Mining" per turn.

Spell Quick

Activate 1 of these effects; ● Place 1 "Centur-Ion" monster from your Deck in your Spell & Trap Zone as a face-up Continuous Trap. For the rest of this turn, while you control that card, or any card with that same original name, you cannot Special Summon from the Extra Deck, except "Centur-Ion" monsters. ● Set 1 "Centur-Ion" Spell/Trap directly from your Deck. You can only activate 1 "Emblema Oath" per turn.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Normal

If your opponent has activated a monster effect during your Main Phase this turn: Activate 1 of these effects; ● Draw 2 cards. ● Take control of 1 monster your opponent controls until the End Phase. ● Look at your opponent's hand, and choose 1 card from it to shuffle into the Deck. You can only activate 1 "Triple Tactics Talent" per turn.

Spell Normal

If your opponent has activated a monster effect during this turn: Set 1 Normal Spell/Trap directly from your Deck, except "Triple Tactics Thrust", or if your opponent controls a monster, you can add it to your hand instead. That Set card cannot be activated this turn. You can only activate 1 "Triple Tactics Thrust" per turn.

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.