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{{Infobox archseries
 
{{Infobox archseries
| image          = GeomathmechFinalSigma-OW-2.png
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| cut_from_names = true
| caption        = "[[Geomathmech Final Sigma]]"
+
| image          = MathmechProcessorFinalSigma-OW-2.png
 +
| caption        = "[[Mathmech Processor Final Sigma]]"
 
| ja_name        = {{Ruby|斬|ザン}}{{Ruby|機|キ}}
 
| ja_name        = {{Ruby|斬|ザン}}{{Ruby|機|キ}}
 
| romaji        = Zanki
 
| romaji        = Zanki
| trans          = Zanki
+
| trans          =  
| fr_name        = Mathmech
+
| fr_name        =  
| de_name        = Mathemech
+
| de_name        =  
| it_name        = Matemech
+
| it_name        =  
| ko_name        = 참기
+
| ko_name        =  
| ko_hanja      = 斬機
+
| ko_romanized  =  
| ko_romanized  = Chamgi
+
| pt_name        = Mechamático
| pt_name        = Mechamático(a)
+
| es_name        =  
| es_name        = Matemecha
+
| tcg            = [[Mystic Fighters]]
| sets          =
+
| ocg            =
* [[Rise of the Duelist]]
 
* [[Power of the Elements]]
 
| tcg            =  
 
* [[Mystic Fighters]]
 
* [[Ghosts From the Past: The 2nd Haunting]]
 
* [[Battles of Legend: Monstrous Revenge]]
 
| ocg            =  
 
 
* [[Deck Build Pack: Mystic Fighters]]
 
* [[Deck Build Pack: Mystic Fighters]]
 
* [[V Jump October 2019 promotional card]]
 
* [[V Jump October 2019 promotional card]]
* [[Premium Pack 2021]]
 
| korea          = [[Premium Pack Vol.15]]
 
 
| manga          = [[Yu-Gi-Oh! OCG Structures]]
 
| manga          = [[Yu-Gi-Oh! OCG Structures]]
 
}}
 
}}
{{Quote|Master numeric manipulation!|source=''TCG'' commercial for ''[[Mystic Fighters]]''}}
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"'''Mathmech'''", known as "'''Zanki'''" ({{Ruby|斬|ザン}}{{Ruby|機|}} ''Zanki'') in the ''[[OCG]]'', is an [[archetype]] of [[Cyberse]] monsters introduced in ''[[Deck Build Pack: Mystic Fighters]]''. It is comprised of primarily [[Level]] 4 monsters of various [[Attribute]]s that focus on [[Synchro Summon|Synchro]] and [[Xyz Summon]]ing. They are used by [[Yami Kuroda]] in the ''[[Yu-Gi-Oh! OCG Structures]]'' manga.
+
"'''Mathmech'''", known as '''Zanki''' ({{Ruby|斬機|ザンキ}} ''Zanki'') in the OCG, is an [[archetype]] of [[Cyberse]] monsters introduced in ''[[Deck Build Pack: Mystic Fighters]]''. It is comprised of primarily [[Level]] 4 monsters of various [[Attribute]]s that focus on [[Synchro Summon|Synchro]] and [[Xyz Summon]]ing.
 +
 
 
==Etymology==
 
==Etymology==
The "Mathmech" archetype is themed around [[wikipedia:Mathematics|mathematics]]. The Japanese names of the "Mathmech" monsters involve puns on mathematical terms.
+
"Mathmech" appears to be themed around mathematics and processors of various kinds. In Japanese, "Zanki" means "cutting machine", but also sounds like "Sanki", which means "calculator", a non-computer processor. The "Mathmech" Synchro Monsters, the "Mathmech Processors", are "Enzanki", which can mean both "flame cutting machine" and "arithmetic unit". The "Mathmech" Xyz Monsters, the "Mathmech Editors", are "Kaizanki", which means "mass cutting machine", and is also a play on "Keisanki", likely meant to reference [[wikipedia:Batch processing|batch processing]].
The name "Mathmech" is a portmanteau of "mathematics" and "mechanical". The Japanese name for "Mathmech" is ''Zanki'' ({{Ruby|斬|ザン}}{{Ruby|機|キ}}, lit. "cutting machine"), and it is a pun on ''keisanki'' ({{Ruby|計|けい}}{{Ruby|算|さん}}{{Ruby|機|き}}, "calculator").
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The name "Geomathmech" used on the archetype's [[Synchro Monster]]s is a portmanteau of "[[wikipedia:Geometry|geometry]]" and "Mathmech". The Japanese name for "Geomathmech" is ''Enzanki'' ({{Ruby|炎|エン}}{{Ruby|斬|ザン}}{{Ruby|機|キ}}, lit. "flame cutting machine"), and it is a pun on ''enzan'' ({{Ruby|演|えん}}{{Ruby|算|ざん}}, "[[wikipedia:Operation (mathematics)|operation]]"). The character ''en'' ({{Ruby|炎|えん}}, "fire") references their [[FIRE]] Attribute.
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{| class="wikitable sortable"
The name "Primathmech" used on the archetype's [[Xyz Monster]]s is a portmanteau of "[[wikipedia:Prime (symbol)#Use in mathematics, statistics, and science|prime]]" and "Mathmech". The Japanese name for "Primathmech" is ''Kaizanki'' ({{Ruby|塊|カイ}}{{Ruby|斬|ザン}}{{Ruby|機|キ}}, lit. "clod cutting machine"), and it is a pun on ''kaizan'' ({{Ruby|改|かい}}{{Ruby|竄|ざん}}, "[[wikipedia:Mathematical fallacy|falsification]]"). The character ''kai'' ({{Ruby|塊|かい}}, "clod") references their [[EARTH]] Attribute.
+
|-
==Design==
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! Mathmech monster
The "Mathmech" monsters resemble humanoid robots armed with various types of swords. The Extra Deck "Mathmech" monsters are the combined forms of the "Mathmech" monsters.
 
===Members===
 
====Main Deck Monsters====
 
The archetype's Main Deck members can be divided into three sub-series based on their visual and thematic designs. Each sub-series includes one Tuner monster.
 
{| class="wikitable" style="text-align: center"
 
! Mathmech
 
! [[Attribute]]
 
! Area of mathematics
 
 
! Symbol
 
! Symbol
! Mathematical origin
+
! Mathematical concept
 
|-
 
|-
| [[Mathmech Sigma|Sigma]]
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| [[Mathmech Addion|Addion]]
| [[LIGHT]] [[File:LIGHT.svg|24px]]
 
| rowspan="3" | [[wikipedia:Algebra|Algebra]]
 
| Σ
 
| [[wikipedia:Summation#Capital-sigma notation|Summation]]
 
|-
 
| [[Mathmech Addition|Addition]]
 
| rowspan="2" | [[FIRE]] [[File:FIRE.svg|24px]]
 
 
| +
 
| +
 
| [[wikipedia:Addition|Addition]]
 
| [[wikipedia:Addition|Addition]]
 
|-
 
|-
| [[Mathmech Subtraction|Subtraction]]
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| [[Mathmech Division|Division]]
|
+
| ÷
| [[wikipedia:Subtraction|Subtraction]]
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| [[wikipedia:Division (mathematics)|Division]]
 +
|-
 +
| [[Mathmech Multiplier|Multiplier]]
 +
| ×
 +
| [[wikipedia:Multiplication#Notation and terminology|Multiplication]]
 
|-
 
|-
 
| [[Mathmech Nabla|Nabla]]
 
| [[Mathmech Nabla|Nabla]]
| [[DARK]] [[File:DARK.svg|24px]]
 
| rowspan="3" | [[wikipedia:Calculus|Calculus]]<br/>[[wikipedia:Mathematical analysis|Analysis]]
 
 
| ∇
 
| ∇
 
| [[wikipedia:Del|Nabla]]
 
| [[wikipedia:Del|Nabla]]
 
|-
 
|-
| [[Mathmech Multiplication|Multiplication]]
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| [[Mathmech Sigma|Sigma]]
| rowspan="2" | [[EARTH]] [[File:EARTH.svg|24px]]
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| Σ
| ×
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| [[wikipedia:Sigma#Science and mathematics|Sigma]]
| [[wikipedia:Multiplication#Notation and terminology|Multiplication]]
 
 
|-
 
|-
| [[Mathmech Division|Division]]
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| [[Mathmech Subtra|Subtra]]
| /
+
|
| [[wikipedia:Division (mathematics)|Division]]
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| [[wikipedia:Subtraction|Subtraction]]
 
|-
 
|-
| [[Mathmech Diameter|Diameter]]
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| [[Mathmech Processor Final Sigma|Final Sigma]]
| rowspan="2" | LIGHT [[File:LIGHT.svg|24px]]
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| ς
| rowspan="2" | [[wikipedia:Geometry|Geometry]]
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| [[wiktionary:final sigma|Final sigma]]
| ⌀
 
| [[wikipedia:Diameter|Diameter]]
 
 
|-
 
|-
| [[Mathmech Circular|Circular]]
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| [[Mathmech Processor Magma|Magma]]
| ⌓
 
| [[wikipedia:Circular segment|Circular segment]]
 
|}
 
====Synchro Monsters====
 
The "Geomathmech" monsters are [[FIRE]] [[Synchro Monster]]s that visually resemble "[[Mathmech Sigma]]" combined with the [[Main Deck]] FIRE "Mathmech" monsters.
 
{| class="wikitable" style="text-align: center"
 
! Geomathmech
 
! Visual "Mathmech" components
 
! Symbol
 
! Mathematical origin
 
|-
 
| [[Geomathmech Magma|Magma]]
 
| rowspan="2" | [[Mathmech Sigma|Sigma]] + [[Mathmech Addition|Addition]] + [[Mathmech Subtraction|Subtraction]]
 
 
| ''M''
 
| ''M''
 
| [[wikipedia:Magma (algebra)|Magma]]
 
| [[wikipedia:Magma (algebra)|Magma]]
 
|-
 
|-
| [[Geomathmech Final Sigma|Final Sigma]]
+
| [[Mathmech Editor d'Alembertian|d'Alembertian]]
| Σ
+
|
| [[wikipedia:Summation#Capital-sigma notation|Summation]]
+
| [[wikipedia:d'Alembert operator|d'Alembert operator]]
|}
 
====Xyz Monsters====
 
The "Primathmech" monsters are [[EARTH]] [[Xyz Monster]]s that visually resemble "[[Mathmech Nabla]]" combined with the Main Deck EARTH "Mathmech" monsters.
 
{| class="wikitable" style="text-align: center"
 
! Primathmech
 
! Visual "Mathmech" components
 
! Symbol
 
! Mathematical origin
 
|-
 
| [[Primathmech Laplacian|Laplacian]]
 
| rowspan="2" | [[Mathmech Nabla|Nabla]] + [[Mathmech Multiplication|Multiplication]] + [[Mathmech Division|Division]]
 
| Δ
 
| [[wikipedia:Laplace operator|Laplacian]]
 
 
|-
 
|-
| [[Primathmech Alembertian|Alembertian]]
+
| [[Mathmech Editor Laplacian|Laplacian]]
|
+
| ∇²
| [[wikipedia:d'Alembert operator|d'Alembertian]]
+
| [[wikipedia:Laplace operator|Laplace]]
 
|}
 
|}
====Spell/Traps====
+
 
{| class="wikitable"
+
{| class="wikitable sortable"
 
|-
 
|-
! Mathmech
+
! Mathmech Spell/Trap
! Mathematical origin
+
! Origin
 
|-
 
|-
| [[Mathmech Billionblade Nayuta|Billionblade Nayuta]]
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| [[Mathmech Divider Nayuta|Divider Nayuta]]
| [[wiktionary:那由他#Japanese|''Nayuta'' ({{Ruby|那|な}}{{Ruby|由|ゆ}}{{Ruby|他|た}})]]
+
| [[wikipedia:Equals sign#Isomorphism|Isomorphism]] / [[wiktionary:那由他#Japanese|Nayuta]]
 
|-
 
|-
| [[Mathmech Equation|Equation]]
+
| [[Mathmech Formula|Formula]]
| [[wikipedia:Equation|Equation]]
+
| [[wikipedia:Formula#In computing|Formula]]
 
|-
 
|-
 
| [[Mathmech Induction|Induction]]
 
| [[Mathmech Induction|Induction]]
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| [[wikipedia:Factorial#Superfactorial|Superfactorial]]
 
| [[wikipedia:Factorial#Superfactorial|Superfactorial]]
 
|}
 
|}
 +
 
==Playing style==
 
==Playing style==
The "Mathmech" archetype focuses on swarming Level 4 Cyberse monsters in order to perform Synchro, Xyz, and Link Summon plays. Secondarily, the archetype focuses on manipulating monster ATKs, in order to assist in [[OTK]]s using their Synchro boss monster "[[Geomathmech Final Sigma]]".
+
The "Mathmech" theme focuses on the use of Level 4 Cyberse monsters with a range of attributes (FIRE, EARTH, LIGHT, and DARK) with the goal of swarming the field with materials in order to Synchro Summon and Xyz Summon. The main play enablers are the duo of Level 4 Tuner monsters, the LIGHT Attribute "[[Mathmech Sigma]]" and DARK Attribute "[[Mathmech Nabla]]", as well as the FIRE Attribute "[[Mathmech Addion]]" and "[[Mathmech Subtra]]", and the EARTH Attribute "[[Mathmech Multiplier]]" and "[[Mathmech Division]]". Every "Mathmech" Main Deck Monster includes an effect to Special Summon itself or other monsters, excluding Multiplier, who instead can double the level of a Level 4 Cyberse monster to Level 8 for the turn. These effects can range from summoning from hand, Deck, and GY and even multiple locations, as seen with the effect of "Division" to tribute a Cyberse monster, in order to Special Summon 2 Level 4 Cyberse Monsters: 1 from the hand and 1 from the GY.
The "algebra" sub-series, consisting of "[[Mathmech Sigma|Sigma]]", "[[Mathmech Addition|Addition]]", and "[[Mathmech Subtraction|Subtraction]]", are generic Level 4 Cyberse Special Summon extenders (that also Cyberse-lock the player's Extra Deck Special Summons). "Addition" and "Subtraction" also provide a ±1000 ATK stat modification effect when Special Summoning themselves.
+
 
The "analysis" sub-series, consisting of "[[Mathmech Nabla|Nabla]]", "[[Mathmech Multiplication|Multiplication]]", and "[[Mathmech Division|Division]]", support Extra Deck plays by providing Summoning from Deck ("Nabla"), Summoning from hand and GY ("Division"), or level modulation ("Multiplication"). If they're sent to the GY, they will also trigger a combat-boosting effect, either providing double attack ("Nabla") or double ATK ("Multiplication") to a friendly Cyberse monster in the [[Extra Monster Zone]], or halving a monster's ATK ("Division").
+
The primary monsters to make with these summoned resources include the Level 8 FIRE Cyberse Synchro Tuner Effect monster, "[[Mathmech Processor Magma]]", the Level 12 FIRE Cyberse Synchro Effect monster "[[Mathmech Processor Final Sigma]]", as well as the Rank 4 EARTH Cyberse Xyz Effect monster, "[[Mathmech Editor Laplacian]]". From there, the deck focuses on an OTK and beatdown strategy through its Synchro Monsters with added disruption abilities from the Xyz Monster. "Mathmech Processor Magma" is capable of destroying two cards your opponent controls when it destroys a monster by battle and can search a "Mathmech" Spell/Trap when it itself is destroyed. "Mathmech Editor Laplacian" gives the deck protection and disruption capabilities. "Mathmech Processor Final Sigma", however, is the ultimate goal of this deck. While it is the [[Extra Monster Zone]], it becomes unaffected by card effects, except for "Mathmech" cards, also it deals double battle damage when it battles a monster. Combine this with the ATK doubling effect of "Multiplier" and the effect of "Nabla" that allows for two attacks on monsters, and "Final Sigma" can very easily end the Duel.  
The "geometry" sub-series provides powerful and varied support effects. "[[Mathmech Diameter|Diameter]]" revives a Level 4 Cyberse monster when Normal Summoned, and grants a "Mathmech" Synchro/Xyz monster summoned using it as a material an omni-negate in the turn it's summoned. "[[Mathmech Circular|Circular]]" is another generic extender, but sends 1 "Mathmech" monster to the GY as cost to Special Summon itself; this can be used to dump the "analysis" monsters for combat boosting effects or later revival, or "Sigma" to immediately Special Summon it with its effect. On the field, "Circular" also searches a "Mathmech" Spell/Trap if a "Mathmech" is summoned.
+
 
The archetype's Extra Deck monsters consist of 2 Synchro Monsters and 2 Xyz Monsters.
+
In addition, the deck's Spells and Traps allow for revival and ATK boosting with "[[Mathmech Formula]]", triggering effects of various "Mathmech" Main Deck monsters with the Equip Spell "[[Mathmech Divider Nayuta]]", further ATK boosting and card removal with "[[Mathmech Induction]]", and quick Extra Deck Summoning through "[[Mathmech Superfactorial]]".
* "[[Geomathmech Magma]]" (Level 8 Synchro) can destroy two cards when it destroys a monster by battle, and can search a "Mathmech" Spell/Trap when it is destroyed.
+
 
* "[[Geomathmech Final Sigma]]" (Level 12 Synchro) becomes unaffected by card effects, except for "Mathmech" cards, while it is the [[Extra Monster Zone]], and also deals double battle damage when it battles a monster. Combine this with the archetype's combat boosting effects, and "Final Sigma" can easily perform an OTK on its own.
 
* "[[Primathmech Alembertian]]" (Rank 4 Xyz, 2+ monsters) can search any "Mathmech" card when Xyz Summoned, and can tribute 1 monster to Special Summon any "Mathmech" from hand or GY. It is an important searcher and combo-enabler for almost all of the deck's combos.
 
* "[[Primathmech Laplacian]]" (Rank 4 Xyz, 3 monsters) can send up to 3 cards the opponent possesses to the GY when Xyz Summoned (1 each from their hand, S/T zone, and monster zone), and can protect friendly "Mathmech" cards from being destroyed by detaching its materials. It is a formidable board-clearer, and can become a powerful disruption piece if it is summoned with "[[Mathmech Superfactorial]]" in the opponent's turn.
 
The archetype's Spells and Traps allow for revival and ATK boosting with "[[Mathmech Equation]]", triggering effects of various "Mathmech" Main Deck monsters with the Equip Spell "[[Mathmech Billionblade Nayuta]]", further ATK boosting and card removal with "[[Mathmech Induction]]", and Spell Speed 2 Extra Deck Summoning through "[[Mathmech Superfactorial]]".
 
 
===Recommended cards===
 
===Recommended cards===
 
{{Decklist|Recommended cards
 
{{Decklist|Recommended cards
 
<!--This is not an exact Decklist. Please do not add multiples or staples.-->
 
<!--This is not an exact Decklist. Please do not add multiples or staples.-->
 +
 
|effect monsters =
 
|effect monsters =
* [[Mathmech Addition]]
+
* [[Mathmech Addion]]
* [[Mathmech Circular]]
 
 
* [[Mathmech Division]]
 
* [[Mathmech Division]]
* [[Mathmech Multiplication]]
+
* [[Mathmech Multiplier]]
* [[Mathmech Subtraction]]
+
* [[Mathmech Subtra]]
 
* [[Balancer Lord]]
 
* [[Balancer Lord]]
* [[Parallel eXceed]]
 
* [[RAM Clouder]]
 
 
* [[ROM Cloudia]]
 
* [[ROM Cloudia]]
* [[Psychic Processor]]
+
 
 
|tuner monsters =
 
|tuner monsters =
* [[Mathmech Diameter]]
 
 
* [[Mathmech Nabla]]
 
* [[Mathmech Nabla]]
 
* [[Mathmech Sigma]]
 
* [[Mathmech Sigma]]
 +
 
|synchro monsters =
 
|synchro monsters =
* [[Geomathmech Final Sigma]]
+
* [[Mathmech Processor Final Sigma]]
* [[Geomathmech Magma]]
+
* [[Mathmech Processor Magma]]
* [[DPA Jeanne d'Moore]]
+
 
 
|xyz monsters =
 
|xyz monsters =
* [[Primathmech Alembertian]]
+
* [[Mathmech Editor d'Alembertian]]
* [[Primathmech Laplacian]]
+
* [[Mathmech Editor Laplacian]]
 +
 
 
|link monsters =
 
|link monsters =
* [[Accesscode Talker]]
+
* [[Cyberse Wicckid]]
 +
* [[Inverted Code Talker]]
 +
* [[Update Jammer]]
 +
* [[Topologic Trisbaena]]
 
* [[Mekk-Knight Crusadia Avramax]]
 
* [[Mekk-Knight Crusadia Avramax]]
 
* [[Topologic Bomber Dragon]]
 
* [[Topologic Bomber Dragon]]
* [[Topologic Trisbaena]]
+
 
* [[Cyberse Wicckid]]
+
|spells =
* [[Code Talker Inverted]]
+
* [[Mathmech Divider Nayuta]]
* [[I:P Masquerena]]
+
* [[Mathmech Formula]]
* [[Pitknight Earlie]]
+
* [[Cynet Backdoor]]
* [[Splash Mage]]
 
* [[Update Jammer]]
 
* [[Link Devotee]]
 
* [[Link Disciple]]
 
* [[Linguriboh]]
 
|normal spells =
 
* [[Mathmech Equation]]
 
 
* [[Cynet Mining]]
 
* [[Cynet Mining]]
* [[One-Time Passcode]]
+
* [[Cynet Optimization]]
* [[Small World]] ''(with [[Parallel eXceed]])''
 
|equip spells =
 
* [[Mathmech Billionblade Nayuta]]
 
 
* [[Grid Rod]]
 
* [[Grid Rod]]
|continuous spells =
+
 
* [[Cynet Optimization]]
+
|traps =
|quick-play spells =
+
* [[Mathmech Induction]]
* [[Cynet Backdoor]]
 
| normal traps =
 
 
* [[Mathmech Superfactorial]]
 
* [[Mathmech Superfactorial]]
* [[Armory Call]]
 
| continuous traps =
 
* [[Mathmech Induction]]
 
 
}}
 
}}
 +
 
{{Archseries navbox}}
 
{{Archseries navbox}}
{{Archseries navbox (Duel Links)}}
 
 
{{Archseries navbox (OCG Structures)}}
 
{{Archseries navbox (OCG Structures)}}
[[Category:TCG and OCG archetypes]]
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[[Category:Archetypes]]

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