Specialist Game Design & Mathematics Lab

Game Design.
Powered by
Mathematics.

Specialist game design and mathematics services for iGaming and land-based studios. We develop game concepts, feature mechanics and complete mathematical models—from your initial brief through simulation, balancing and implementation support.

Available for freelance projects, independent reviews and ongoing studio support.

Game DesignFeature MechanicsGame MathematicsRTP & Volatility
Mathiv: Skybound Riches five-reel, three-row concept with matching themed symbolsIvory and gold sky guardian with royal-blue cloak
5 REELS · ORIGINAL SYMBOL SET
THE MATHIV CONCEPT COLLECTION

Mathiv: Skybound Riches

Original worlds. Signature symbols. Game mathematics.

Explore our game concepts ↗Slot concept preview · Playable demo coming later
Game MathematicsRTP ModellingVolatilityJackpot SystemsMonte Carlo SimulationFeature DesignHit FrequencyGame Balancing Game MathematicsRTP ModellingVolatilityJackpot SystemsMonte Carlo SimulationFeature DesignHit FrequencyGame Balancing
100%

Specialist focus on mathematical systems for feature-led casino products.

1B+

Simulation rounds used to validate convergence, distributions and rare events.

8+

Game formats spanning slots, jackpots, crash, keno, roulette, Plinko and blackjack.

360°

Concept-to-delivery ownership across math, simulation, tuning and documentation.

Built for production

More than a mathematical model.

MODELProbability architecture, paytables, reel strips and complete feature logic.
SIMULATORHigh-volume simulation engine with reproducible configuration and results.
ANALYSISRTP breakdown, hit rates, volatility, exposure and prize distributions.
HANDOFFPAR sheet, implementation logic, documentation and developer support.
What We Build

Mathematical products built for play.

From complete slot mathematics to specialised feature, jackpot and instant-game systems, Mathiv Analytics & Gaming Labs develops mathematical products designed for implementation, configuration and large-scale validation.

Across screens. Across experiences.

Built for the floor.
Designed for the screen.

From cabinet-led jackpot experiences to mobile-first feature games, we connect game design with the mathematics behind every spin.

LAND-BASEDiGAMINGFEATURE SYSTEMS
Explore slot capabilities ↗
Jade Dynasty original themed reel and symbol set
Complete game mathematics

Slots

Mathematical architecture for feature-led slot games across online, mobile and casino-floor environments.

Discuss a slot project

iGaming slot mathematics

Configurable mathematical systems for online and mobile-first slots, designed around feature-led gameplay, operator requirements and controlled exposure.

Reel strips, ways and paytablesFree spins, respins and Hold & SpinMultipliers, collectors and persistent modifiersFeature Buy, Ante Bet and BoostMultiple RTP configurationsVolatility and prize-distribution tuningMaximum-win and liability controlSimulation and implementation documentation
Orbit Rush futuristic spacecraft
ORBIT RUSH / CONCEPT12.48×Illustrative flight state
Decision + exposure

Instant & Crash

Probability-driven instant experiences where pacing, player decisions and maximum exposure remain mathematically controlled.

CRASH CURVESCASH-OUTPLINKOSLIDERMULTI-BALLRTP VARIANTS
Discuss an instant game
Original roulette, cards and number-game concept
Rules + probability

Table & Numbers

Mathematical development and validation for number-based and casino-table formats across configurable rule sets.

KENOROULETTEBLACKJACKSIDE BETSHOUSE EDGESIMULATION
Discuss a table game
Linked emerald jackpot cabinet conceptCOLLECT · CONNECT · REWARD
Triggers + liability

Jackpot & Feature Systems

Standalone mathematical systems that integrate into new or existing concepts with transparent contribution, frequency and exposure.

PROGRESSIVESMLLPHOLD & SPINCOLLECTORSPERSISTENCEAUDIT
Discuss a feature system
Game design + mathematics

A clear game idea.
A purposeful feature journey.

We shape what the player sees, understands and anticipates—then build the mathematics to support that experience.

01 / CONCEPT

Define the experience

For Jade Ascension, the proposed journey is to restore a sky temple by collecting jade seals. Theme, rules and rewards share one clear purpose.

02 / FEATURE PROGRESSION

Make every state readable

Map collection, locked positions, respin resets and resolution. Show what changes, what persists and how progress is communicated.

03 / PLAYER EXPERIENCE

Design anticipation with clarity

Define the information shown before each action and the feedback after it. Distinguish meaningful player choices from outcomes determined by chance.

04 / DESIGN HANDOFF

Turn the idea into a specification

Deliver a game design document, feature flow, UI states, edge cases and acceptance criteria, connected to the mathematical model.

ILLUSTRATIVE DESIGN EXAMPLE · PROPOSED MECHANICS, NOT A RELEASED GAMEDiscuss your game design ↗
Math Lab Preview

See the mathematics behave.

A preview of the model interface that will let visitors play sample rounds, change the game character and validate the same configuration through simulation. The working engine will be connected in the prototype phase.

Interface preview · engine connection pending
From theme to model

Jade Dynasty · model preview

Preview only
Jade Dynasty reel concept; mathematical model is not yet connected
Reel presentationIllustrative concept
Model statusNot connected
Model configuration

Shape the game character

96.00%
94%96%98%
Volatility profileHigh
Balanced
FrequentBalancedRare
Simulation rounds1M
Theoretical RTP96.00%Configured return
Simulated RTP95.98%Illustrative 1M-round result
Hit frequency1 / 4.7Any positive return
Feature frequency1 / 118Target feature cadence
VolatilityHighConcentrated reward profile
Standard deviation8.42Per-round sample measure
Maximum observed850×Within the sample run
Rounds analysed1.0MPreview simulation scale

RTP convergence

Model state · stable
Illustrative RTP convergence chart The simulated result approaches a 96 percent theoretical RTP as the number of rounds increases. 98%96%94%10K500K1M

RTP contribution

Total · 96.00%
Base game
61.20%
Feature
27.30%
Jackpot
7.50%

Prize distribution

Illustrative bands
0–1×
1–5×
5–25×
25–100×
100×+
Illustrative model preview. Controls and results are intentionally non-interactive at this stage. The future prototype will use an original educational model, accept no wagers or money, award no prizes and disclose no client mathematics.
The Mathiv Concept Collection

New worlds.
Distinct mathematical identities.

A first look at the worlds we want to build. Explore five working concepts spanning feature slots, persistent systems and instant mechanics.

Concept previews · Working titles and proposed mechanics. Artwork is an illustrative direction, not gameplay footage. Videos and playable prototypes are coming later.
MATHIV / CONCEPT 01Veil of Embers: astral sorceress with ember-themed reelsVIDEO PREVIEW · COMING SOON
DARK FANTASY / FEATURE SLOT

Veil of Embers

An eclipse opens an ancient observatory. Collect ember sigils and reveal shifting feature states beneath the veil.

Explore the concept

Proposed direction: symbol transformations, escalating feature states and a concentrated reward profile.

MECHANICS AND MATHEMATICS NOT YET FINALISED
Discuss this concept ↗
MATHIV / CONCEPT 02Dust & Reckoning original game concept artworkVIDEO PREVIEW · COMING SOON
FRONTIER WESTERN / FEATURE SLOT

Dust & Reckoning

A lone courier crosses a storm-lit frontier carrying a vault key everyone wants. Each encounter changes the route ahead.

Explore the concept

Proposed direction: expanding wild events, route-based bonuses and multiplier encounters.

MECHANICS AND MATHEMATICS NOT YET FINALISED
Discuss this concept ↗
Enhanced Jade Ascension concept: emerald dragon and luminous gold reel frame
ANIMATED CONCEPT · NOT GAMEPLAY
TEMPLE ADVENTURE / HOLD & SPIN

Jade Ascension

Restore a forgotten sky temple, collect jade seals and unlock a rising sequence of chambers.

Explore the concept

Proposed direction: collectors, persistent feature progression and configurable jackpot tiers.

MECHANICS AND MATHEMATICS NOT YET FINALISED
Discuss this concept ↗
ORBIT RUSH FLIGHT SEQUENCE / 011.00×IGNITION
Original futuristic spacecraft
SCRIPTED CONCEPT · NOT GAMEPLAY
COSMIC FLIGHT / INSTANT CONCEPT

Orbit Rush

A compact flight through an orbital storm, built around a clear risk curve and a precise round resolution.

Explore the concept

Proposed direction: a flight multiplier, transparent round rules and exposure analysis.

MECHANICS AND MATHEMATICS NOT YET FINALISED
Discuss this concept ↗
Prism Drop illuminated board with bottom pocket multipliers: 50×, 5×, 1×, 0.2×, 1×, 5×, 50×CONCEPT ART · ILLUSTRATIVE MULTIPLIERS
Try a drop · Visual demo
GEOMETRIC / PLINKO CONCEPT

Prism Drop

A luminous cascade through a prism field explores how board geometry and payout profiles shape the experience.

Explore the concept

Proposed direction: configurable paths, payout tables and contrasting volatility profiles.

MECHANICS AND MATHEMATICS NOT YET FINALISED
Discuss this concept ↗
Selected Work

Math that behaves like a game.

Representative, anonymised case-study concepts that show the kind of feature systems, RTP structures and jackpot models Mathiv Analytics & Gaming Labs can own end-to-end.

FEATURE SYSTEM / HOLD & SPIN / MULTIPLIERS

Feature-Driven Slot Mathematics

An anonymised feature model combining collectible values, expanding states, multiplier behaviour and jackpot rewards while controlling total contribution and volatility.

CHALLENGELayer several high-impact mechanics without making the reward profile unstable.
APPROACHModel each feature state separately, then tune their interaction through simulation.
DELIVERYConfigurable math model, simulator, RTP breakdown and implementation rules.
Balanced cadence with controlled feature contribution
FEATURE MATHRTPVOLATILITYSIMULATION
FEATURE ENGINEHOLD & SPIN
COLLECT · LOCK · MULTIPLY

Every state. Modelled.

×3
5×
◇
15×
MINI
◇
◇
25×
10×
50×
◇
20×
◇
MAJOR
100×
5×
RESPINS3 / 3COLLECTOR10 / 15STATELOCKED
ILLUSTRATIVE FEATURE STATE
CONFIGURABLE RTP / GAME CHARACTER

Multi-RTP Architecture

A tunable framework designed to support multiple operator configurations while preserving the intended feature cadence, volatility profile and reward shape.

CHALLENGEOffer several RTP variants without each version feeling like a different game.
APPROACHSeparate configurable contributions from the core frequency and feature structure.
DELIVERYValidated 94–98% configurations with common logic and clear parameter control.
Multiple RTPs, one consistent game character
94%95%96%98%
RETURN ARCHITECTUREONE CORE MODEL
SELECT A CONFIGURATION

Precision in every variant.

Shared Jade Dynasty reel theme across RTP configurations
96.00%TOTAL THEORETICAL
RETURN · EXAMPLE
Base game60.00%
Bonus features32.00%
Jackpot allocation4.00%
Shared rulesConfigurable weights
ILLUSTRATIVE ALLOCATION · NOT A VALIDATED GAME MODEL
JACKPOT SYSTEM / LIABILITY / TRIGGER MATH

Multi-Level Jackpot Model

An anonymised multi-level jackpot architecture in which trigger probability, RTP allocation, expected award and liability operate as one connected system.

CHALLENGECreate meaningful jackpot aspiration while keeping contribution and exposure controlled.
APPROACHEngineer trigger routes, tier weights and expected values as a unified model.
DELIVERYTier-level RTP, trigger analysis, liability reporting and rare-event validation.
Transparent liability across every jackpot tier
JACKPOTSPROBABILITYEXPOSURESIMULATION
LINKED JACKPOT SYSTEMFOUR REWARD TIERS
GRAND2,500×◆
MAJOR500×◆
MINOR50×◆
MINI10×◆
Three modern cabinets sharing a jade and gold jackpot system
Trigger probabilityContribution & exposure
ILLUSTRATIVE TIERS · MULTIPLES OF BET
Our Services

Game ideas, engineered
into playable systems.

Game design, mathematical modelling and independent validation—from the first feature concept to a clear developer handoff. Engage us for a complete workstream or a specific challenge.

01 / DESIGN

Game Concept & Feature Design

Turn a promising idea into a game with a clear identity, understandable rules and purposeful feature interactions.

  • Concept and mechanic briefs
  • Bonus flows and progression logic
  • Game design and feature specifications
Discuss this service ↗
02 / MATHEMATICS

Complete Game Mathematics

Build the mathematical system behind the experience, from the first probability model to configurable production data.

  • Reel strips, weights and paytables
  • RTP allocation and variant modelling
  • Volatility, hit rate and reward tuning
Discuss this service ↗
03 / FEATURE SYSTEMS

Jackpots & Persistent Features

Make complex features explainable, tunable and ready for implementation across every relevant game state.

  • Linked and multi-level jackpot models
  • Hold & Spin and collector mechanics
  • State transitions and exposure analysis
Discuss this service ↗
04 / VALIDATION

Simulation & Analytical Validation

Understand how the model behaves across common outcomes, long sessions and rare events.

  • Monte Carlo simulation and convergence
  • Prize distributions and uncertainty
  • Exact derivations where tractable
Discuss this service ↗
05 / INDEPENDENT REVIEW

Math Review & Reconciliation

Bring a second mathematical perspective to an existing design, model or implementation before the next milestone.

  • Assumption and edge-case review
  • Analytical versus simulated reconciliation
  • Findings report and resolution support
Discuss this service ↗
06 / SUPPORTING SERVICES

Engine Development & Prototypes

Support your game design and mathematics with scoped game-logic implementation, simulation tools and mechanic prototypes.

  • Game-rule evaluation and feature-state logic
  • Simulation engines and configurable prototypes
  • Source code, integration documentation and implementation checks
Discuss supporting development ↗

A clearer handoff. A stronger starting point.

ILLUSTRATIVE DELIVERABLE / 01

Math specification

ComponentExample RTP
Base game60.00%
Bonus feature32.00%
Jackpot feature4.00%
Total96.00%

Example structure only. Final specifications document approved rules, parameters, contribution and model assumptions.

ILLUSTRATIVE DELIVERABLE / 02

Feature behaviour map

Trigger → Collect → ResolveState + reset rules

Readable state transitions, entry and exit conditions, retained values and edge cases for developers and reviewers.

ILLUSTRATIVE DELIVERABLE / 03

Validation report

Review areaEvidence
Expected returnReconciliation
SimulationConvergence
Rare outcomesFrequency analysis
ImplementationParity checks

A traceable view of the methods, results, remaining uncertainty and findings. Scope is agreed for each engagement.

Where is your game today?

Before we begin

Can you work from our existing game design?

Yes. We can start from a concept, design document, mathematical model or implementation. We first review the available material and agree the missing work and deliverables.

Can a project include multiple RTP configurations?

Yes. Variant count and the intended game behaviour are agreed in the scope. Each variant needs its own checks; shared logic does not remove the need for validation.

What do you need to provide a quote?

Share the game category, feature outline, current development stage, required outputs, RTP variants and target timeline. Confidential specifications can follow after an NDA.

Can we begin under an NDA?

Yes. Request an NDA in the enquiry form. Please wait until it is signed before sharing proprietary mathematics, code or unreleased material.

Do you provide certification and post-delivery support?

We can prepare mathematical documentation and support technical queries within an agreed scope. Certification decisions remain with the relevant independent testing lab or authority. Implementation review and ongoing support can be included in the engagement.

Process

Concept → Math → Simulation → Game.

A lean B2B workflow: understand the game, engineer the mathematical system, validate it at scale, tune the behaviour and package it for implementation.

01

Concept

Mechanics, player experience, market intent and commercial targets.

02

Model

Probability architecture, paytables, feature logic and jackpot systems.

03

Simulate

Monte Carlo runs, distributions, convergence and rare-event analysis.

04

Optimise

RTP, volatility, hit rate, feature cadence and overall reward shape.

05

Deliver

Validated mathematics, implementation logic and production-ready documentation.

Engagement

Specialist support for your game design and mathematics.

Mathiv Analytics & Gaming Labs can own a complete mathematical workstream or support an existing studio at the exact point specialist expertise is needed.

PROJECT SCOPE

Complete Game Math

Concept to production-ready mathematical model.

INDEPENDENT REVIEW

Math Review

Audit assumptions, outputs, edge cases and model behaviour.

SPECIALIST FEATURE

Feature Development

Specialist mathematics for bonuses, jackpots and complex mechanics.

ONGOING SUPPORT

B2B Partnership

Flexible mathematical support across a studio roadmap.

About Us

Specialist expertise.
Built around the work.

Mathiv Analytics & Gaming Labs is a specialist game design and mathematics studio supporting iGaming teams from early concept through production-ready delivery.

Our work combines probability modelling, simulation, feature design and practical implementation thinking. Every system is developed to be accurate, tunable, explainable and aligned with the intended player experience.

The studio operates through a confidential, project-led model and involves specialist collaborators where a scope requires additional development, analytical or design expertise.

CONFIDENTIAL BY DEFAULTPROJECT-LEDSPECIALIST NETWORKPRODUCTION-READY
Our Vision

Make mathematics part of the game’s identity.

We see game mathematics as more than compliance, calculation or an RTP target. It is the invisible system that shapes anticipation, rhythm, reward and long-term player experience.

Engineer intentional behaviour. Every frequency, distribution and feature interaction should serve the game concept.

Connect creativity with evidence. Bold mechanics should be supported by measurable, simulation-led decisions.

Build for real production. Mathematical models should be clear, configurable and practical for development teams.

Protect every collaboration. Confidentiality and respect for game IP remain part of the working model from the first discussion.

Start a conversation

Have a game in mind?
Let’s shape the design and mathematics.

Tell us about your idea or the challenge you want to solve. A short introduction is enough to start a conversation about game design and mathematics.

Add project details (optional)
Your enquiry is submitted directly without opening an email application. Please avoid including confidential game data before an NDA is in place.