Mathmech Deck #718374 — Yu-Gi-Oh! TCG
59 Main, 15 Extra, incl. Mulcharmy Fuwalos x3, Ash Blossom & Joyous Spring x3, Forbidden Droplet x3. Created Jun 11, 2026 by YGO Mod.
Created by: YGO Mod (20517634)
Created On: 06/11/2026
Main Deck (59)
- Droll & Lock Bird x2
- Ext Ryzeal x1
- Gadarla, the Mystery Dust Kaiju x1
- Gameciel, the Sea Turtle Kaiju x1
- Ice Ryzeal x2
- Mathmech Circular x1
- Mitsurugi no Mikoto, Aramasa x1
- Mitsurugi no Mikoto, Kusanagi x1
- Mitsurugi no Mikoto, Saji x1
- Mulcharmy Fuwalos x3
- Mulcharmy Purulia x2
- Night Sword Serpent x1
- Node Ryzeal x1
- Star Ryzeal x1
- Sword Ryzeal x2
- Ame no Habakiri no Mitsurugi x1
- Ame no Murakumo no Mitsurugi x1
- Futsu no Mitama no Mitsurugi x1
- Ash Blossom & Joyous Spring x3
- Mathmech Diameter x1
- Mathmech Nabla x1
- Bonfire x1
- Called by the Grave x1
- Crossout Designator x1
- Forbidden Droplet x3
- Harpie's Feather Duster x1
- Illusion Gate x2
- Lightning Storm x3
- Mitsurugi Mirror x1
- Mitsurugi Prayers x3
- Mitsurugi Ritual x1
- Pre-Preparation of Rites x3
- Ryzeal Cross x1
- Seventh Tachyon x2
- Anti-Spell Fragrance x1
- Dragon's Mind x3
- Mathmech Superfactorial x1
- Mitsurugi Great Purification x1
- Solemn Judgment x1
Extra Deck (15)
- Dyna Mondo x1
- Divine Golden Shadow Dragon Dragluxion x1
- Eclipse Twins x1
- Evilswarm Exciton Knight x1
- Mereologic Aggregator x1
- Number 104: Masquerade x1
- Number 38: Hope Harbinger Dragon Titanic Galaxy x1
- Number 41: Bagooska the Terribly Tired Tapir x1
- Number 60: Dugares the Timeless x1
- Primathmech Alembertian x1
- Primathmech Laplacian x1
- Ryzeal Detonator x1
- Ryzeal Duo Drive x2
- Vallon, the Super Psy Skyblaster x1
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25± 10/ 100
Power Score
Structural
44
Reliability
35
Going First
45
Going Second
38
Deck — Deck Power Evaluation
Final Contextual Deck Power: 25/100 (±10 · Confidence: Low)
| Overall score | Value |
|---|---|
| Structural Deck Power | 43.5 |
| Going First | 45 |
| Going Second | 38 |
| Meta Power | provisional |
| Tournament Reliability | 35 |
- Primary strategy: Toolbox
- Secondary strategies: Midrange
- Format: tcg
Legality
Main 59 / Extra 15 / Side 0 — status under the rules at evaluation time: Illegal. 11 violation(s).
Identity & game plan
- Win condition: Extra-Deck Xyz and Ritual boss monsters (Ryzeal Detonator, Ryzeal Duo Drive, Mitsurugi Ritual summons) backed by a large searcher package; Mathmech Superfactorial Synchro line from the GY, if the Mathmech pieces are present
- Turn 1 (going first): Search a starter (Ice Ryzeal, Sword Ryzeal, Mitsurugi monster or Mathmech Circular), then build toward a Xyz boss; the list has no consistent T1 engine, so the opening depends on which of several unrelated starters arrives
- Turn 2 (going second): Hand traps (Ash Blossom, Droll, Dragon's Mind, Solemn) to stop the opponent's board, then a single boss from a mixed engine; no side deck to adjust
- Recovery: Searchers and GY recursion (Ryzeal Cross, Mathmech Circular, Seventh Tachyon) to rebuild a payoff after a clear
- After siding: Not applicable: Side Deck size is 0, so the deck has no post-side plan
Why it scores here
This deck is scored as a system, not as an average of its cards. It runs about 19 searchers, so a starter is reachable on most openings (P(at least one searcher in a 5-card hand) is about 0.87), but those searchers draw toward at least four unrelated engines (Mitsurugi, Ryzeal, Mathmech, Mulcharmy) with conflicting Extra Deck and Normal Summon rules, which caps how reliably the deck converts a search into a board. Its interaction (about 19 negation-text cards and 16 removal-text cards) is broad, but many of those pieces are tech cards that do not fit the engine, and no side deck exists to adapt after game 1. The list is illegal: five cards exceed their copy limits and six Forbidden cards are present, so it is capped to a structural-only score of 25 with low confidence. Popularity did not earn points: the Mathmech archetype name covers only 6 of 59 Main Deck copies and no combo, tournament or win-rate data exists.
Dimension scores
| # | Dimension | Score | Evidence |
|---|---|---|---|
| D1 | Engine Accessibility & Consistency | 50 | P(at least one searcher in 5 cards) is about 0.87, but starters are spread across four engines with no single reliable opener; 2-copy starters have P of about 0.16 (Inferred) |
| D2 | Opening-Hand Quality & Brick Management | 40 | 26 of 39 distinct Main Deck cards are single copies and about 16 are tech; ritual and Reptile-tribute requirements create dead hands (Inferred) |
| D3 | Combo Conversion & Ceiling | 45 | No parseable combos. Ryzeal Duo Drive and Mitsurugi Ritual payoffs are plausible from text, but there is no recorded board to confirm the ceiling (Inferred) |
| D4 | Combo Floor & Median Output | 35 | No combo data and no median output. The floor is estimated from the card text alone, so it is low (Inferred) |
| D5 | Interruption Resilience & Route Redundancy | 45 | Five hand traps and several recursion options give partial route redundancy, but the engines are split across four archetypes and one clear answer can break a line (Inferred) |
| D6 | Resource Economy, Recovery & Grind | 45 | 19 searchers and GY recursion (Ryzeal Cross, Mathmech Circular) help rebuild; Ryzeal restrictions on Extra Deck summons limit the rebuild (Inferred) |
| D7 | End-Board & Interaction Quality | 60 | Broad negation text (about 19) and removal text (about 16) plus 5 hand traps give strong interaction density, but many are off-engine or Forbidden-limited (Inferred semantic read) |
| D8 | Going-Second & Board-Breaking Power | 45 | Going-second hand traps are present (P of at least one hand trap in 6 cards is about 0.43), but no side deck and no board-breaker density beyond Lightning Storm and Harpie's Feather Duster (Inferred) |
| D9 | Offensive Pressure & Closing Power | 55 | Ame no Murakumo (3200 ATK) and Ryzeal Detonator / Duo Drive give closing power, but reaching them depends on the unreliable engine lines (Inferred) |
| D10 | Main Deck Efficiency & Flexibility | 35 | 59 Main Deck cards with 39 distinct names, 16 tech cards and 26 singles: low coherence and high dilution (Verified structure) |
| D11 | Extra Deck Efficiency & Coverage | 50 | 14 Xyz and 1 Link in the Extra Deck, with some Ryzeal copies limited to 1 and Forbidden Number cards removed. Extra coverage is wide but inconsistent (Verified composition) |
| D12 | Side Deck Adaptability | 10 | Side Deck size is 0, so no post-side plan can be built (Verified) |
| D13 | Matchup Coverage & Format Fit | 35 | No tournament link, so no meta share and no matchup record. Score is Provisional (Provisional) |
| D14 | Pilotability & Error Tolerance | 30 | Four interacting engines, a Ritual summon procedure, Extra Deck summon restrictions and about 16 tech cards make this hard to pilot correctly (Inferred) |
How the score was computed
Strategy profile: Toolbox. Structural ≈ 43.5, Going First ≈ 45, Going Second ≈ 38, Meta = provisional, Tournament Reliability ≈ 35. Modifiers: Banlist exposure (-5); Engine conflicts (-4). Final formula: No normal Final: Illegal deck. Unconstrained formula 0.80*43.5 + 0.20*35 - 9 = 33; capped to 25 as structural-only (Meta provisional).
Probability & combo summary
- Opening a starter: P(≥1) ≈ 0.87 · key two-card combo ≈ — · full-brick estimate ≈ — (all Inferred)
- Combo output: best PowerIndex —, median —, board-per-starter —
- Turn order: 0 going-first lines vs 0 going-second lines
Strengths
- About 19 searchers give high starter access (Inferred)
- Broad negation and removal text across hand traps and boss effects (Inferred)
- Large Extra Deck coverage with several strong Xyz bosses (Verified composition)
Weaknesses
- Illegal: five copy-limit violations and six Forbidden cards (Verified)
- No side deck (Verified)
- Four unrelated engines with conflicting summon rules and 16 tech cards (Verified structure, Inferred impact)
- Low archetype purity: 8.1% exact Mathmech name (Verified)
Critical choke points
- Starter must be one of several unrelated pieces, so a single hand-trap answer can end the line
- Ryzeal Extra Deck summon restriction blocks Extra Deck follow-up after a Ryzeal Special Summon
- Mitsurugi Ritual requires Reptile monsters in hand or field to tribute
Recommended changes
| Priority | Remove | Add | Reason |
|---|---|---|---|
| 1 | Forbidden cards (Ame no Habakiri no Mitsurugi, Called by the Grave, Anti-Spell Fragrance, Crossout Designator, Number 60, Number 41) | Legal replacements within the same engine | The deck is illegal; these must go before any score can be trusted |
| 2 | Over-limit copies: 2 of Pre-Preparation of Rites, 1 of Mitsurugi Prayers, 1 of Ash Blossom, 1 of Seventh Tachyon, 1 of Droll & Lock Bird | Legal copy counts or single-copy alternatives | Fixes the legality violations |
| 3 | Off-engine tech cards | One consistent engine (Ryzeal or Mitsurugi) with its own Extra Deck | Reduces brick rate and engine conflict |
| 4 | Nothing | A 15-card side deck | Adds post-side adaptability (D12 is 10 with no side deck) |
Evidence & confidence
- Verified: Illegal: copy-limit and Forbidden violations listed in legality; Main 59 / Extra 15 / Side 0 counts; Archetype purity 8.1%, role tag counts, searcher probability 0.8686
- Inferred: Consistency estimates from hypergeometric probabilities; Brick-rate estimate from single-copy count and ritual/tribute requirements; Interaction density from card text (negation and removal); Going-second hand-trap odds 0.43
- Provisional: Meta power (no dated metagame sample); Matchup and format fit (no tournament link)
- Data gaps: No combos supplied: combo floor, median and ceiling are text-only inference No tournament link: archetype meta share and per-pilot record are absent No win-rate telemetry (going-first, going-second, matchup, brick and starter rates) Meta Power is Provisional unless a dated metagame sample is supplied Side deck is empty, so post-side behaviour cannot be scored
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