Changes

| cut_from_names = true| image = GeomathmechFinalSigma-OW-2.png| caption = "[[Geomathmech Final Sigma]]"| ja_name = ザンキ{{Ruby|斬|ザン}}{{Ruby|機|キ}}

| trans = Zanki| fr_name = Mathmech| de_name = Mathemech| it_name = Matemech| ko_name = 참기| ko_hanja = 斬機| ko_romanized = Chamgi| pt_name = Mechamático(a)| es_name = Matemecha| sets = * [[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]]* [[V Jump October 2019 promotional card]]* [[Premium Pack 2021]]| korea = [[Premium Pack Vol.15]]| manga = [[Yu-Gi-Oh! OCG Structures]]

{{Quote|Master numeric manipulation!|source=''TCG'' commercial for ''[[Mystic Fighters]]''}}"'''rocesslayerMathmech'''", known as "'''Zanki'''" ({{Ruby|斬機斬|ザン}}{{Ruby|機|ザンキキ}}''Zanki'') in the ''[[OCG]]'', is an [[archetype]] of [[Cyberse]] monsters introduced in ''[[Deck Build Pack: Mystic Fighters]]'', made up . It is comprised of primarily Level 4 [[CyberseLevel]] 4 monsters of various [[AttributesAttribute]] and focused s that focus on Synchros [[Synchro Summon|Synchro]] and [[Xyz PlaysSummon]]ing. They are used by [[Yami Kuroda]] in the ''[[Yu-Gi-Oh! OCG Structures]]'' manga. 

The "rocesslayerMathmech" seemes to be based archetype is themed around [[wikipedia:Mathematics|mathematics]]. The Japanese names of the "Mathmech" monsters involve puns on Mathematics mathematical terms.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 processors it is a pun on ''keisanki'' ({{Ruby|計|けい}}{{Ruby|算|さん}}{{Ruby|機|き}}, "calculator").The name "Geomathmech" used on the archetype's [[Synchro Monster]]s is a portmanteau of various kinds"[[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}}, as Zanki "fire") references their [[FIRE]] Attribute.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 sounds like Calculatorname for "Primathmech" is ''Kaizanki'' ({{Ruby|塊|カイ}}{{Ruby|斬|ザン}}{{Ruby|機|キ}}, lit. "clod cutting machine"), and it is a non-computer processor 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==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! Mathematical origin|-| [[Mathmech Sigma|Sigma]]| [[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]]|-| [[Mathmech Subtraction|Subtraction]]| －| [[wikipedia:Subtraction|Subtraction]]|-| [[Mathmech Nabla|Nabla]]| [[DARK]] [[File:DARK.svg|24px]]| rowspan="3" | [[wikipedia:Calculus|Calculus]]<br/>[[wikipedia:Mathematical analysis|Analysis]]| ∇| [[wikipedia:Del|Nabla]]|-| [[Mathmech Multiplication|Multiplication]]| rowspan="rocesslayer2" Synchros, Enzaki in Japanese, sounds like Computer Processor in Japanese | [[EARTH]] [[File:EARTH.svg|24px]]| ×| [[wikipedia:Multiplication#Notation and terminology|Multiplication]]|-| [[Mathmech Division|Division]]| /| [[wikipedia:Division (mathematics)|Division]]|-| [[Mathmech Diameter|Diameter]]| rowspan="2" | LIGHT [[File:LIGHT.svg|24px]]| rowspan="2" | [[wikipedia:Geometry|Geometry]]| ⌀| [[wikipedia:Diameter|Diameter]]|-| [[Mathmech Circular|Circular]]| ⌓| [[wikipedia:Circular segment|Circular segment]]|}====Synchro Monsters====The "Geomathmech" monsters are [[FIRE]] [[Synchro Monster]]s that visually resemble "[[Mathmech Sigma]]" combined with the single [[Main Deck]] FIRE "Mathmech" monsters.{| class="rocesslayerwikitable" 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''| [[wikipedia:Magma (algebra)|Magma]]|-| [[Geomathmech Final Sigma|Final Sigma]]| Σ| [[wikipedia:Summation#Capital-sigma notation|Summation]]|}====Xyz Monsters====The "Primathmech" monsters are [[EARTH]] [[Xyz monster, Kaizan in 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]]| □| [[wikipedia:d'Alembert operator|d'Alembertian]]|}====Spell/Traps===={| class="wikitable"|-! Mathmech! Mathematical origin|-| [[Mathmech Billionblade Nayuta|Billionblade Nayuta]]| [[wiktionary:那由他#Japanese, likely being meant to reference Batch Processing.|''Nayuta'' ({{Ruby|那|な}}{{Ruby|由|ゆ}}{{Ruby|他|た}})]]|-| [[Mathmech Equation|Equation]]| [[wikipedia:Equation|Equation]]|-| [[Mathmech Induction|Induction]]| [[wikipedia:Mathematical induction|Induction]]|-| [[Mathmech Superfactorial|Superfactorial]]| [[wikipedia:Factorial#Superfactorial|Superfactorial]]|}

The "rocesslayerMathmech" theme archetype focuses on swarming Level 4 Cyberse monsters with a range of attributes (Firein order to perform Synchro, LightXyz, Darkand Link Summon plays. Secondarily, and Earth) with the goal of swarming the field with materials archetype focuses on manipulating monster ATKs, in order to make assist in [[OTK]]s using their Synchro Summons and Xyz Summonsboss monster "[[Geomathmech Final Sigma]]". The Light Level 4"algebra" sub-series, consisting of "[[Processlayer Mathmech Sigma|Sigma]]", "[[Mathmech Addition|Addition]]", and Dark "[[Mathmech Subtraction|Subtraction]]", are generic Level 4Cyberse 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 "[[Processlayer Mathmech Nabla|Nabla]]" are both Tuner Monsters in order to make the Level 8 and 12 Fire Synchro Monsters, "[[Pyrocesslayer MagmaMathmech Multiplication|Multiplication]]" , and "[[Pyrocesslayer Final SigmaMathmech Division|Division]]" respectively, support Extra Deck plays by providing Summoning from Deck ("Nabla"), Summoning from hand and GY ("Division"), or level modulation ("Multiplication"). The remaining Main Deck Monsters are split between If they're sent to the Fire Attribute 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 [[Processlayer AddionExtra Monster Zone]], or halving a monster's ATK ("Division" ).The "geometry" sub-series provides powerful and varied support effects. "[[Processlayer SubtraMathmech Diameter|Diameter]]"revives a Level 4 Cyberse monster when Normal Summoned, based on Addition and Subtraction as well grants a "Mathmech" Synchro/Xyz monster summoned using it as a material an omni-negate in the Earth Attribute turn it's summoned. "[[Processlayer MultiplierMathmech 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.* "[[Processlayer DivisionGeomathmech Magma]]"(Level 8 Synchro) can destroy two cards when it destroys a monster by battle, based on Multiplication and Divisioncan search a "Mathmech" Spell/Trap when it is destroyed. The general playstyle * "[[Geomathmech Final Sigma]]" (Level 12 Synchro) becomes unaffected by card effects, except for "Mathmech" cards, while it is swarming the field [[Extra Monster Zone]], and also deals double battle damage when it battles a monster. Combine this with these monsters to make Magma the archetype's combat boosting effects, and "Final Sigma as well as the " 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.* "[[Batch Processlayer 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 beatdown with added disruptions as well as Final Sigma gaining protection can protect friendly "Mathmech" cards from card effects being destroyed by detaching its materials. It is a formidable board-clearer, and can become a powerful disruption piece if in the it is summoned with "[[Extra Monster ZoneMathmech Superfactorial]]" in the opponent's turn. In addition, the deckThe 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 as well as ATK Gains and set upthrough "[[Mathmech Superfactorial]]". 

* [[Processlayer AddionMathmech Addition]]* [[Processlayer Mathmech Circular]]* [[Mathmech Division]]* [[Processlayer MultiplierMathmech Multiplication]]* [[Mathmech Subtraction]]* [[Balancer Lord]]* [[Parallel eXceed]]* [[RAM Clouder]]* [[ROM Cloudia]]* [[Processlayer SubtraPsychic Processor]]

* [[Processlayer Mathmech Diameter]]* [[Mathmech Nabla]]* [[Processlayer Mathmech Sigma]]

* [[Pyrocesslayer Geomathmech Final Sigma]]* [[Pyrocesslayer Geomathmech Magma]]* [[DPA Jeanne d'Moore]]

* [[Batch Processlayer Primathmech Alembertian]]* [[Primathmech Laplacian]] |link monsters =* [[Accesscode Talker]]* [[Mekk-Knight Crusadia Avramax]]* [[Topologic Bomber Dragon]]* [[Topologic Trisbaena]]* [[Cyberse Wicckid]]* [[Code Talker Inverted]]* [[I:P Masquerena]]* [[Pitknight Earlie]]* [[Splash Mage]]* [[Update Jammer]]* [[Link Devotee]]* [[Link Disciple]]* [[Linguriboh]] |normal spells =* [[Mathmech Equation]]* [[Cynet Mining]]* [[One-Time Passcode]]* [[Small World]] ''(with [[Parallel eXceed]])'' |equip spells =* [[Mathmech Billionblade Nayuta]]* [[Grid Rod]] |continuous spells = * [[Cynet Optimization]]

|quick-play spells =* [[Processlayer Divider NayutaCynet Backdoor]]* [[Processlayer FormulaCynet Rollback]]

|normal traps =* [[Processlayer InductionMathmech Superfactorial]]* [[Armory Call]] | continuous traps =* [[Processlayer SuperfactorialMathmech Induction]]

{{Archseries navbox}}{{Archseries navbox (Duel Links)}}{{Archseries navbox (OCG Structures)}}[[Category:ArchetypesTCG and OCG archetypes]]