Hire Slot Game
Mathematicians
Build mathematically sound slots with specialists in RTP modelling, volatility, hit frequency, reel strips, paytables, and feature mathematics, covering free spins, cascading, cluster pays, hold-and-win, and buy features.
Hire Slot Game Mathematicians →The Design Deliverable Set
Wireframes & Interaction Flows
Game screen layouts covering reels, controls, menus, paytables, bonus states, and player journeys. Supplied as Figma files and exportable PDFs for review.
UI Kit & Design Tokens
Reusable components covering typography, colour scales, buttons, icons, interaction states, spacing, and UI rules. Delivered as versioned Figma component libraries.
Symbol Sets & Game Assets
Full symbol packs, icons, and interface assets exported in SVG, PNG, AI, or PSD, organised and named by game state, function, and layer.
Background & Environment Art
Game backgrounds, decorative environments, and layered scene elements supplied as PNG, PSD, AI, or applicable 3D source files with export-ready parts.
Motion & Animation Specs
Animation timing, triggers, transitions, easing, and behavior documented through Figma, MP4/GIF references, or animation source files.
Animation Source Files & Sprite Atlases
Animation timing, triggers, transitions, easing curves, and behaviour documented through Figma prototypes, MP4/GIF references, or animation source files.
Asset Naming Specification
A consistent naming and folder structure for symbols, UI elements, animations, backgrounds, and exported assets to keep development handoff clean.
Localisation-Ready Layouts
Layouts built for text expansion, multiple languages, currency symbols, and variable-length content without breaking the UI grid or state transitions.
Developer Handoff Document
Screen references, asset mappings, interaction states, animation behaviour, and implementation notes prepared for direct engineering pickup.
Build Better Slots with Expert Game Mathematicians.
Whether you need a dedicated mathematician or flexible project support, get experts in RTP, volatility, probability modeling, and slot game math.
The Math Deliverable Set
Math Specification Document
Defines the mathematical rules, assumptions, probability distribution, RTP targets, volatility band, hit frequency, win limits, and feature behaviour. It becomes the single source of truth for development, QA, and certification.
Reel Strip Files
Supplies the configured reel strips, symbol positions, and symbol distribution used to implement the approved probability model directly in the game engine.
Paytable Definition
Documents symbol values, winning combinations, multipliers, wild and scatter behaviour, and every payout rule engineers need to implement the game accurately.
PAR Sheet
Summarises the key mathematical characteristics of the game — RTP, hit frequency, volatility, feature contribution, and maximum-win exposure — in the format testing laboratories expect.
Simulation Report
Provides simulation results validating theoretical behaviour against observed outcomes, including statistical ranges, confidence intervals, and convergence analysis at required sample sizes.
RNG Mapping Specification
Defines how mathematical outcomes map to RNG-generated values, giving developers and QA a precise, reproducible implementation reference across every game state.
Feature Math Annex
Documents the mathematics behind free spins, cascading reels, hold-and-win, cluster pays, buy features, and other bonus mechanics, isolated from the base game for clarity.
RTP Variant Matrix
Maps each supported RTP configuration to its underlying mathematical parameters, reel configuration, and expected simulation results for market-specific deployment.
Certification Submission Pack
Compiles the mathematical specification, PAR sheet, simulation evidence, configuration details, and supporting documentation the testing laboratory needs to complete review.
Simulation and Validation Method
Define the Simulation Model
Run Large-Scale Simulations
Test Convergence
Analyse Edge Cases and Max Win
Produce the Validation Pack
RNG Mapping and Certification Readiness
A structured mathematical workflow connecting probability, RNG validation, certification, engineering, and QA.
Probability-to-RNG Mapping
Every mathematical outcome — a symbol on a reel position, a card drawn from a shoe, a jackpot trigger — must map to a specific range of RNG output values. Our mathematicians define this mapping alongside the probability model so the game engine translates raw RNG output into game-defined outcomes without introducing rounding, bias, or drift.
RNG Outcome Validation
Once mapped, the outcome distribution is validated against the approved probability model through targeted simulation. Any deviation between the theoretical distribution and the RNG-driven distribution is investigated and resolved before the mathematical model is signed off for engineering.
Certification Readiness
The math package is prepared to meet the documentation, evidence, and format requirements testing laboratories request. This includes the PAR sheet, RTP calculation, simulation evidence, feature-contribution breakdown, and the RNG mapping specification the lab needs to reproduce results.
Laboratory Submission
We support submission to GLI, BMM Testlabs, iTech Labs, NMi, and eCOGRA by preparing evidence packs, responding to lab queries, and revising mathematical documentation when the lab requests clarification during the review cycle.
Engineering Handoff
Once the math is approved, we walk the engineering team through the specification — reel strips, paytable logic, feature triggers, RNG mapping, and edge cases. The handoff is documented so implementation questions are resolved against the specification rather than through guesswork.
QA Handoff
QA receives the mathematical model, simulation targets, tolerance thresholds, and acceptance criteria for math conformance testing. Our mathematicians remain available through QA validation to explain discrepancies and confirm whether an observed deviation reflects statistical variance or an implementation defect.
Get Precise Math Models for Your Slot Games.
From RTP and volatility design to reel strips and bonus mathematics, our specialists create simulation-tested models ready for development and certification.
Rebalancing the Math on a Live Title
Mathematical changes to live casino titles require controlled modelling, simulation, and validation to preserve the intended game behaviour and certified parameters.
New Market, Same Game
An operator wants to launch an existing title with a different RTP for a new market.
Create a separate RTP configuration by adjusting approved mathematical parameters such as reel weighting, payouts, or feature probabilities.
A market-specific model with independent simulation results and updated mathematical documentation.
Model vs. Live Results
A title's live performance appears to differ from its approved mathematical model.
Compare actual outcomes with theoretical RTP, hit frequency, volatility, feature frequency, and win distribution to identify whether the difference is statistical variance, configuration, or implementation-related.
A documented variance analysis with corrective actions where a genuine deviation is identified.
Volatility Needs Tuning
Player or operator data indicates that the current win distribution is not delivering the intended gameplay profile.
Rebalance outcome probabilities, payout distribution, feature frequency, or multiplier behaviour while preserving the required RTP and maximum-win parameters.
A revised model validated through simulation before production deployment.
Feature Change Post-Launch
An operator wants to adjust a bonus feature — free spin count, multiplier range, or hold-and-win trigger frequency — on a live title without a full recertification cycle.
Model the proposed change, quantify its impact on RTP, volatility, hit frequency, and maximum-win exposure, and identify whether the change stays within the game's certified mathematical envelope.
A change assessment with recertification requirements clearly identified, and a revised model prepared for lab submission if the change requires it.
Engagement Models for Math Work
| Unit | Scope | Typical Duration | Deliverable |
|---|---|---|---|
| Per Model | Complete mathematics for one new slot, including RTP, volatility, reel strips, paytables, and feature math. | 2–4 weeks | Approved math model, simulations, PAR sheet |
| Per RTP Variant | Create and validate an additional RTP configuration while retaining the core game structure. | 3–7 days | RTP variant model, simulation results, updated PAR sheet |
| Model Audit | Review an existing model for RTP accuracy, probability errors, feature contribution, volatility, and implementation risks. | 1–3 weeks | Math audit report and remediation recommendations |
| Retained Mathematician | Ongoing mathematics support across new games, variants, feature changes, and live-game analysis. | Monthly | Continuous math support and updated documentation |
| Certification Rescue | Investigate stalled certification issues, identify mathematical discrepancies, and prepare corrected documentation. | 1–3 weeks | Remediation model, validation results, certification-ready documentation |
Also Hiring for Other Roles?
Explore specialist hiring pages for every role on a casino game team.
Hire Casino Game Developers
Front-end, back-end, gameplay, RGS, and blockchain engineering.
Explore Role →Hire Casino Game Designers
UI/UX, 2D/3D art, motion, and mechanics design.
Explore Role →Hire Casino Game QA Specialists
Functional, math conformance, compliance, and certification-readiness testing.
Explore Role →Hire Front-End & Back-End Developers
Game clients, wallet APIs, RGS, and PAM integrations.
Explore Role →Frequently Asked Questions
Rates depend on scope, feature complexity, and engagement duration. Per-model engagements are quoted as a fixed fee after the game concept is confirmed; retained mathematician engagements are billed monthly. We share a rate card during requirement review.
A complete math model for a new slot title typically runs 2–4 weeks, covering RTP, volatility, reel strips, paytables, feature math, simulations, and the PAR sheet. Additional RTP variants for the same game take 3–7 days each.
Our teams prepare submission packs and respond to lab queries for GLI, BMM Testlabs, iTech Labs, NMi, and eCOGRA across major jurisdictions including UKGC, MGA, Ontario, New Jersey, Michigan, Pennsylvania, Sweden, and Denmark.
Yes. RTP variant work, volatility tuning, and post-launch feature changes are modelled against the approved base game, so the core mathematical structure is preserved. Recertification requirements are identified as part of the change assessment.
Yes. The Certification Submission Pack — mathematical specification, PAR sheet, simulation evidence, RTP calculations, and RNG mapping documentation — is part of the standard delivery for every new model.
Yes. Our mathematicians work in your simulation tooling, math libraries, and version-control system where they exist. Where a framework doesn't exist yet, we can build the simulation pack alongside the model.
Yes. Certification Rescue engagements start with the lab report, isolate the mathematical discrepancy, correct the model, and prepare corrected documentation for resubmission — typically inside 1–3 weeks.
Need Slot Mathematics That’s Ready for Development?
Build, validate, and refine slot game mathematics with specialists covering RTP, volatility, feature math, simulations, and certification-ready documentation.
