Mathmech Deck #766611 — Yu-Gi-Oh! Duel Links

Deck — Deck Power Evaluation

Final Contextual Deck Power: 61/100 (±7 · Confidence: Medium)

• Primary strategy: Combo
• Secondary strategies: Midrange, Toolbox, Synchro/Xyz/Link
• Format: duel-links

Legality

Main 22 / Extra 9 / Side 0 — status: Legal.

Identity & game plan

• Win condition: Link, Synchro and Xyz pressure from the Extra Deck: Geomathmech Final Sigma (3000 ATK, doubled battle damage), Primathmech Laplacian, Decode Talker Heatsoul and S-Force Justify, enabled by Mathmech starters.; Geomathmech Magma destroying up to 2 opponent cards on battle, and Topologic Trisbaena burning for each banished card.
• Turn 1 (going first): Normal Summon Mathmech Diameter (GY Level 4 Cyberse revive) or Tribute Mathmech Nabla (Special Summon a Mathmech from Deck), then extend with Mathmech Sigma / Subtraction / Addition into a Synchro or Xyz Summon.
• Turn 2 (going second): Open with Droll & Lock Bird as a hand trap against the opponent's Deck-to-hand adds, use Forbidden Droplet to negate effect monsters, and Mathmech Induction to destroy a card, then rebuild from the GY.
• Recovery: Recur Level 4 Cyberse and Mathmech monsters from the GY through Diameter, Multiplication, Superfactorial and Equation, then re-enter the Extra Deck engine.
• After siding: None. The deck runs 0 Side Deck cards and the evidence contains no sideboard data, so there is no post-side plan to score.

Why it scores here

The deck reliably opens a starter: 13 Mathmech core copies give P(at least one in a 5-card opening hand) of about 0.995, and the six copies of Diameter and Nabla alone give about 0.83 (hypergeometric, Inferred). It converts that opening into Synchro, Xyz and Link summons from a 9-card Extra Deck that includes Final Sigma, Laplacian and Magma, with real pressure from Final Sigma and the Link-3 monsters. Interaction is spread across Droll & Lock Bird, Forbidden Droplet, Mathmech Induction, Superfactorial and two negation Link effects, and several starters recur from the GY, which helps recovery. Scores are not an average of card scores, and Mathmech's popularity and the guide's Tier 3 note did not earn points: the guide is the only context and it is qualitative. Combo ceiling and median are text-only inferences because the deck has no recorded boards, and the lack of a sideboard and any dated meta sample holds the score in the low 60s.

Dimension scores

How the score was computed

Strategy profile: Combo profile used unblended; Midrange noted as secondary only. Structural ≈ 63, Going First ≈ 65, Going Second ≈ 59, Meta = provisional, Tournament Reliability ≈ 60. Modifiers: Off-archetype dilution (-2). Final formula: 0.80*Structural + 0.20*TournamentReliability + ContextModifiers (Meta provisional; no dated metagame sample)

Probability & combo summary

• Opening a starter: P(≥1) ≈ 0.83 · key two-card combo ≈ — · full-brick estimate ≈ 0 (all Inferred)
• Combo output: best PowerIndex —, median —, board-per-starter —
• Turn order: 0 going-first lines vs 0 going-second lines

Strengths

• Redundant starters: 6 copies of Diameter/Nabla plus Sigma, giving an opening-hand starter probability of about 0.83
• High-ceiling Extra Deck with Final Sigma, Laplacian, Magma, Heatsoul, Justify and Trisbaena
• Recursion via Diameter, Multiplication and Superfactorial keeps the engine alive after disruption
• Layered interaction: 2 hand traps, Forbidden Droplet, Mathmech Induction, Superfactorial and negation Links

Weaknesses

• No recorded boards, so ceiling and median are text-only estimates
• Heavy reliance on Cyberse enablers; the Nabla and Diameter lines need a Cyberse on field
• 12 off-archetype copies lower engine coherence
• No Side Deck, so no post-side adaptation
• Several singleton Mathmech cards (Equation, Induction, Subtraction, Multiplication, Addition, Superfactorial) are conditional and can be dead

Critical choke points

• A hand with no Diameter or Nabla (about 0.17 in a 5-card hand) and no other Cyberse-enabling card starts slowly
• Final Sigma and Laplacian are the main closers; losing both to one board-wipe or to a non-Mathmech removal line leaves the Link-3 monsters as the only pressure

Recommended changes

Evidence & confidence

• Verified: Legal in Duel Links with 22 Main, 9 Extra, 0 Side (within 20-30 / 0-9 / 0-9); Mathmech Superfactorial is Limited and run at 1 copy (legal); Exact-name Mathmech purity 61.3% (19 of 31 Mathmech-related copies); Card stats and text excerpts resolved for all 21 distinct cards
• Observed: Usage stats show 17 core cards for Mathmech with 8 present by the evidence's own in_this_deck flag
• Inferred: Starter access P(>=1 of 6 Diameter/Nabla in 5 cards) = 0.834; Core-group P(open >=1 of 13 core in 5 cards) = 0.995 (overstates starter access); Hand-trap P(>=1 Droll in 6 cards) = 0.4805; Combo ceiling and floor from card text only; Interaction and resilience reads from text_role_hints
• Provisional: Matchup fit and format fit (no dated meta sample); Post-side plan (no sideboard in Duel Links deck)
• Data gaps: No combos supplied; combo floor, median and ceiling are text-only inference No tournament link; archetype meta-share and per-pilot match record are absent No win-rate, going-first/second, matchup, brick or starter telemetry in YGOVN Meta Power is Provisional: no dated metagame sample usage_statistics.in_this_deck is false for Geomathmech Final Sigma, Primathmech Laplacian, Geomathmech Magma, S-Force Justify, Splash Mage and Decode Talker Heatsoul, but all six are in the Extra Deck list. The missing_core list is therefore inaccurate; the flag appears to ignore Extra Deck cards Usage stats list Kiteroid, Effect Veiler and Book of Eclipse as core; none are in the deck No Side Deck data, so post-side scoring is unverifiable Trisbaena's Extra Deck role is not in the usage stats, so its frequency is unknown