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Spatial Mathematics (Game Math)

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I apply spatial mathematics to real-time engines, creative DCC tools, and production systems. This work focuses on the practical math that drives 3D space, motion, cameras, rigging, and interaction in games and real-time cinematic environments.

Summary

Spatial mathematics is the math that makes 3D systems work.

It is used anywhere space, motion, and perspective need to be represented precisely, including game engines, real-time cinematic tools, rigging systems, and digital content creation software. This includes working with coordinate systems, vectors, transforms, camera math, and kinematic relationships.

My work applies this math directly to production systems and tools, ensuring that spatial behavior is correct, predictable, and aligned with creative and technical goals.

Details

Service Overview

Spatial mathematics is the applied mathematics used to describe, transform, and reason about space in real-time systems. It forms the foundation of 3D creative tools, game engines, real-time cinematic systems, and the production pipelines built around them.

This practice focuses on the practical use of vectors, coordinate systems, transformations, and spatial relationships rather than abstract mathematical theory. The goal is reliable, predictable spatial behavior that supports both technical correctness and creative intent.

Real-Time 3D and Interactive Systems

In real-time engines and interactive environments, spatial mathematics governs how objects move, rotate, and relate to one another in space. This includes world, local, and camera coordinate spaces, as well as the transformations that connect them.

Cameras, Transforms, and Perspective

Camera matrices, projection systems, and spatial transforms are central to both gameplay and cinematic presentation. I work directly with these systems to ensure that perspective, motion, and framing behave consistently across tools and runtime environments.

Rigging and Kinematic Systems

Spatial mathematics plays a critical role in rigging, inverse kinematics, and character systems. This includes understanding joint hierarchies, constraints, normals, reflections, and spatial continuity to support believable motion and deformation.

Production Tools and DCC Pipelines

Beyond runtime engines, spatial mathematics is deeply embedded in digital content creation tools and production pipelines. I apply these principles to build and extend tools that artists and developers rely on for modeling, animation, layout, and real-time preview.

Applied, Not Abstract

This work is intentionally practical. The emphasis is on using spatial mathematics as a working language for real systems rather than as an abstract discipline. Correctness, clarity, and predictability matter more than theoretical generality.

Provider

Alex Stevovich

Alex Stevovich is an independent polymath guided by a self-directed perspective. His projects focus on original content and innovation developed through discovery-driven work grounded in first-principles thinking.

Studio Banners

Midnight Citylights

Midnight Citylights is my personal software development studio — the banner under which I work as a principal software engineer and independent developer. This is hands-on, first-principles work: designing, building, and maintaining systems directly, with a focus on clarity, durability, and long-term coherence.

I’ve produced proprietary, full-scale applications used by millions worldwide, alongside a substantial body of public software spanning multiple languages and domains. In parallel, I maintain and publish hundreds of packages and tools, many of which have become reliable building blocks for modern development workflows.

This work reflects a commitment to disciplined abstraction, clean system design, and engineering practices that hold up under real-world scale — not demos, not experiments, but software that ships, runs, and lasts.

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Fractal Bouquet

Fractal Bouquet is my studio for creative development across both real-time and rendered mediums. The work provides every layer needed to bring exceptional entertainment visuals and franchises to life. Each project is imbued with charm and charisma — uniting technical mastery with distinctive taste to produce concepts and experiences that are loved and timeless.

Beyond this creative work, I develop proprietary extensions and tools for modern pipelines and engines, and maintain a growing library of original IP and creative properties developed in-house under the Fractal Bouquet banner.

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