| trans = ProcesslayerZanki

| ko_name = 참기| ko_hanja = 斬機| ko_romanized = Chamgi

| sets = * [[Rise of the Duelist]]* [[Power of the Elements]]| tcg = * [[Mystic Fighters]]* [[Ghosts From the Past: The 2nd Haunting]]* [[Battles of Legend: Monstrous Revenge]]

{{Quote|Master numeric manipulation!|source=''TCG'' commercial for ''[[Mystic Fighters]]''}}"'''Mathmech'''", known as "'''ProcesslayerZanki'''" ({{Ruby|斬|ザン}}{{Ruby|機|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.They are used by [[Yami Kuroda]] in the ''[[Yu-Gi-Oh! OCG Structures]]'' manga.

The "Mathmech" appears to be archetype is themed around [[wikipedia:Mathematics|mathematics]]. The Japanese names of the "Mathmech" monsters involve puns on mathematical terms.The name "Mathmech" is a portmanteau of "mathematics " and processors of various kinds"mechanical". In The Japanese, name for "Mathmech" is ''Zanki'' literally means ({{Ruby|斬|ザン}}{{Ruby|機|キ}}, lit. "cutting machine"), but also sounds like "Sanki"and it is a pun on ''keisanki'' ({{Ruby|計|けい}}{{Ruby|算|さん}}{{Ruby|機|き}}, which means "calculator", a non-computer processor). The name "Geomathmech" used on the archetype's [[Synchro Monster]]s is a portmanteau of "[[wikipedia:Geometry|geometry]]" and "Mathmech" Synchro Monsters, the . The Japanese name for "Geomathmech", are is ''Enzanki''({{Ruby|炎|エン}}{{Ruby|斬|ザン}}{{Ruby|機|キ}}, which can mean both lit. "flame cutting machine" ), and it is a pun on ''enzan'' ({{Ruby|演|えん}}{{Ruby|算|ざん}}, "arithmetic unit[[wikipedia:Operation (mathematics)|operation]]"). The character ''en'' ({{Ruby|炎|えん}}, "fire") references their [[FIRE]] Attribute.The name "MathmechPrimathmech" used on the archetype's [[Xyz MonstersMonster]]s is a portmanteau of "[[wikipedia:Prime (symbol)#Use in mathematics, statistics, the and science|prime]]" and "Mathmech". The Japanese name for "Primathmech", are is ''Kaizanki''({{Ruby|塊|カイ}}{{Ruby|斬|ザン}}{{Ruby|機|キ}}, which means lit. "mass clod cutting machine"), and it is also a play pun on ''Keisankikaizan''({{Ruby|改|かい}}{{Ruby|竄|ざん}}, likely meant to reference "[[wikipedia:Batch processingMathematical fallacy|falsification]]"). The character ''kai'' ({{Ruby|batch processing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 sortable"style="text-align: center"! Mathmech! [[Attribute]]! Area of mathematics! Symbol! Mathematical origin

! | [[Mathmech monsterSigma|Sigma]]! Symbol| [[LIGHT]] [[File:LIGHT.svg|24px]]! Mathematical concept| rowspan="3" | [[wikipedia:Algebra|Algebra]]| Σ| [[wikipedia:Summation#Capital-sigma notation|Summation]]

| [[Mathmech DivisionSubtraction|DivisionSubtraction]]| ÷－| [[wikipedia:Division (mathematics)Subtraction|DivisionSubtraction]]|-| [[Mathmech Nabla|Nabla]]| [[DARK]] [[File:DARK.svg|24px]]| rowspan="3" | [[wikipedia:Calculus|Calculus]]<br/>[[wikipedia:Mathematical analysis|Analysis]]| ∇| [[wikipedia:Del|Nabla]]

| [[Mathmech NablaDivision|NablaDivision]]| ∇/| [[wikipedia:DelDivision (mathematics)|NablaDivision]]

| [[Mathmech SigmaDiameter|SigmaDiameter]]| Σrowspan="2" | LIGHT [[File:LIGHT.svg|24px]]| rowspan="2" | [[wikipedia:Geometry|Geometry]]| ⌀| [[wikipedia:Sigma#Science and mathematicsDiameter|SigmaDiameter]]

| [[Mathmech SubtractionCircular|SubtractionCircular]]| －⌓| [[wikipedia:SubtractionCircular segment|SubtractionCircular segment]]|-}====Synchro Monsters====| The "Geomathmech" monsters are [[FIRE]] [[Synchro Monster]]s that visually resemble "[[Geomathmech Final Sigma|Final Mathmech Sigma]]| ς| " combined with the [[wiktionary:final sigma|Final sigmaMain Deck]]FIRE "Mathmech" monsters.{| class="wikitable" style="text-align: center"! Geomathmech! Visual "Mathmech" components! Symbol! Mathematical origin

| [[Primathmech AlembertianGeomathmech Final Sigma|AlembertianFinal Sigma]]| ☐Σ| [[wikipedia:d'Alembert operatorSummation#Capital-sigma notation|d'Alembert operatorSummation]]|}====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

| ∇²rowspan="2" | [[Mathmech Nabla|Nabla]] + [[Mathmech Multiplication|Multiplication]] + [[Mathmech Division|Division]]| Δ| [[wikipedia:Laplace operator|LaplaceLaplacian]]|-| [[Primathmech Alembertian|Alembertian]]| □| [[wikipedia:d'Alembert operator|d'Alembertian]]

====Spell/Traps===={| class="wikitable sortable"

! Mathmech Spell/Trap! OriginMathematical origin

| [[wikipedia:Equals sign#Isomorphism|Isomorphism]] / [[wiktionary:那由他#Japanese|''Nayuta'' ({{Ruby|那|な}}{{Ruby|由|ゆ}}{{Ruby|他|た}})]]

| [[wikipedia:Formula#In computing|Formula]] / [[wikipedia:Equation|Equation]]

The "Mathmech" theme archetype focuses on the use of swarming Level 4 Cyberse monsters with a range of attributes (FIREin order to perform Synchro, EARTHXyz, LIGHTand Link Summon plays. Secondarily, and DARK) with the goal of swarming the field with materials archetype focuses on manipulating monster ATKs, in order to assist in [[OTK]]s using their Synchro Summon and Xyz Summonboss monster "[[Geomathmech Final Sigma]]". The main play enablers are the duo "algebra" sub-series, consisting of Level 4 Tuner monsters, the LIGHT Attribute "[[Mathmech Sigma|Sigma]]" and DARK Attribute , "[[Mathmech NablaAddition|Addition]]", as well as the FIRE Attribute and "[[Mathmech AdditionSubtraction|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 SubtractionNabla|Nabla]]", and the EARTH Attribute "[[Mathmech Multiplication|Multiplication]]" , and "[[Mathmech Division|Division]]". Every , support Extra Deck plays by providing Summoning from Deck ("MathmechNabla" Main Deck Monster includes an effect to Special Summon itself or other monsters), excluding Summoning from hand and GY ("MultiplicationDivision"), who instead can double the or level of a Level 4 Cyberse monster modulation ("Multiplication"). If they're sent 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 they will also trigger a combat-boosting effect of , either providing double attack ("Nabla") or double ATK ("DivisionMultiplication" ) to tribute a friendly Cyberse monster, in order to Special Summon 2 Level 4 Cyberse Monsters: 1 from the hand and 1 from the GY[[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, "geometry" sub-series provides powerful and varied support effects. "[[Geomathmech MagmaMathmech Diameter|Diameter]]", the revives a Level 12 FIRE 4 Cyberse monster when Normal Summoned, and grants a "Mathmech" Synchro Effect /Xyz monster summoned using it as a material an omni-negate in the turn it's summoned. "[[Geomathmech Final SigmaMathmech Circular|Circular]]"is another generic extender, but sends 1 "Mathmech" monster to the GY as well as cost to Special Summon itself; this can be used to dump the Rank 4 EARTH Cyberse Xyz Effect monster"analysis" monsters for combat boosting effects or later revival, or "[[Primathmech Laplacian]]Sigma"to immediately Special Summon it with its effect. From thereOn the field, the deck focuses on an OTK and beatdown strategy through its "Circular" also searches a "Mathmech" Spell/Trap if a "Mathmech" is summoned.The archetype's Extra Deck monsters consist of 2 Synchro Monsters with added disruption abilities from the and 2 Xyz MonsterMonsters. * "[[Geomathmech Magma]]" is capable of destroying (Level 8 Synchro) can destroy two cards your opponent controls when it destroys a monster by battle , and can search a "Mathmech" Spell/Trap when it itself is destroyed. * "Primathmech Laplacian" gives the deck protection and disruption capabilities. "[[Geomathmech Final Sigma", however, is the ultimate goal of this deck. While it is the [[Extra Monster Zone]], it " (Level 12 Synchro) becomes unaffected by card effects, except for "Mathmech" cards, while it is the [[Extra Monster Zone]], and also it deals double battle damage when it battles a monster. Combine this with the ATK doubling effect of 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 "MultiplicationMathmech" from hand or GY. It is an important searcher and combo-enabler for almost all of the effect of deck's combos.* "Nabla[[Primathmech Laplacian]]" that allows for two attacks on (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 "Final SigmaMathmech" cards from being destroyed by detaching its materials. It is a formidable board-clearer, and can very easily end become a powerful disruption piece if it is summoned with "[[Mathmech Superfactorial]]" in the Duelopponent'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 quick Spell Speed 2 Extra Deck Summoning through "[[Mathmech Superfactorial]]". 

* [[Inverted Code TalkerInverted]]* [[I:P Masquerena]]* [[Pitknight Earlie]]* [[Splash Mage]]

* [[Topologic TrisbaenaLink Devotee]]* [[Mekk-Knight Crusadia AvramaxLink Disciple]]* [[Topologic Bomber DragonLinguriboh]]

|normal spells =* [[Mathmech Billionblade Nayuta]]

|quick-play spells =* [[Cynet Backdoor]]* [[Cynet Rollback]] | normal traps =* [[Mathmech Superfactorial]]* [[Armory Call]] | continuous traps =

 [[Category:ArchetypesTCG and OCG archetypes]]