![]() The "geometry" sub-series provides powerful and varied support effects. 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 "analysis" sub-series, consisting of " Nabla", " Multiplication", and " Division", support Extra Deck plays by providing Summoning from Deck ("Nabla"), Summoning from hand and GY ("Division"), or level modulation ("Multiplication"). "Addition" and "Subtraction" also provide a ☑000 ATK stat modification effect when Special Summoning themselves. The "algebra" sub-series, consisting of " Sigma", " Addition", and " Subtraction", are generic Level 4 Cyberse Special Summon extenders (that also Cyberse-lock the player's Extra Deck Special Summons). Secondarily, the archetype focuses on manipulating monster ATKs, in order to assist in OTKs using their Synchro boss monster " Geomathmech Final Sigma". The "Mathmech" archetype focuses on swarming Level 4 Cyberse monsters in order to perform Synchro, Xyz, and Link Summon plays. The "Primathmech" monsters are EARTH Xyz Monsters that visually resemble " Mathmech Nabla" combined with the Main Deck EARTH "Mathmech" monsters. The "Geomathmech" monsters are FIRE Synchro Monsters that visually resemble " Mathmech Sigma" combined with the Main Deck FIRE "Mathmech" monsters. Each sub-series includes one Tuner monster. The archetype's Main Deck members can be divided into three sub-series based on their visual and thematic designs. The Extra Deck "Mathmech" monsters are the combined forms of the "Mathmech" monsters. The "Mathmech" monsters resemble humanoid robots armed with various types of swords. The character kai ( 塊 ( かい ), "clod") references their EARTH Attribute. "clod cutting machine"), and it is a pun on kaizan ( 改 ( かい ) 竄 ( ざん ), " falsification"). The Japanese name for "Primathmech" is Kaizanki ( 塊 ( カイ ) 斬 ( ザン ) 機 ( キ ), lit. The name "Primathmech" used on the archetype's Xyz Monsters is a portmanteau of " prime" and "Mathmech". The character en ( 炎 ( えん ), "fire") references their FIRE Attribute. "flame cutting machine"), and it is a pun on enzan ( 演 ( えん ) 算 ( ざん ), " operation"). The Japanese name for "Geomathmech" is Enzanki ( 炎 ( エン ) 斬 ( ザン ) 機 ( キ ), lit. The name "Geomathmech" used on the archetype's Synchro Monsters is a portmanteau of " geometry" and "Mathmech". "cutting machine"), and it is a pun on keisanki ( 計 ( けい ) 算 ( さん ) 機 ( き ), "calculator"). The Japanese name for "Mathmech" is Zanki ( 斬 ( ザン ) 機 ( キ ), lit. The name "Mathmech" is a portmanteau of "mathematics" and "mechanical". The Japanese names of the "Mathmech" monsters involve puns on mathematical terms. The "Mathmech" archetype is themed around mathematics.
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