Models you can explore
Numerical simulations, geometric constructions and algorithm visualisations respond to your input. Individual modules use different models, approximations and visual scales.
Interactive science & visual mathematics
Equations become
experiments.
Explore physics, mathematics and astronomy through interactive simulations. Change a parameter. Follow the motion. See what the model predicts.
Explore the suitesPhysics & Math available for Windows
Three ways to explore.
One idea: understanding through interaction.
Made for the curious
Start with a question. Follow your curiosity.
These are desktop experiments to explore at your own pace. Use them for a lesson, a demonstration, a visual explanation or an evening of “what happens if…?”
Choose an experiment
Open a topic that catches your eye, from magnetic confinement to a four-dimensional shape.
Change something
Adjust the available parameters, rotate the scene or try a different starting condition.
Look a little closer
Use the accompanying plots, measurements and explanations to connect the picture with the idea.
01 / The physical world
Makarov Physics Suite
140 interactive modules
From a ripple to a plasma.
An interactive physics lab for exploring mechanics, waves, optics, electromagnetism, quantum phenomena, fluids and thermodynamics. Move between 3D apparatus, particle systems, field visualisations and live graphs.
Change a field, alter a mass or disturb a wave, then compare what you see with the measurements. A scene becomes a question you can investigate, whether you are revisiting a familiar idea or encountering it for the first time.
- Mechanics & waves
- Fields & particles
- Optics & quantum physics
- Fluids & heat
A magnetic cage for plasma
Try the tokamak: switch off the plasma current and watch how the particle confinement changes.
More to explore
Light around a black hole
Explore gravitational lensing, an accretion disc and the distorted view of background stars.
The shape of an orbital
Explore three-dimensional probability distributions and the nodal structure of hydrogen orbitals.
Order gives way to chaos
A pendulum, three magnets and intricate basins of attraction: small changes can lead to different destinations.
Waves you can disturb
Watch ripples spread across a water surface and experiment with the parameters of the wave model.
When waves meet
Change the optical setup and compare the wave field with its interference and diffraction pattern.
Steering an electron beam
Inspect an electron-optics setup in 3D and explore how fields change particle trajectories.
A fluid made of particles
Explore a three-dimensional particle-fluid model and watch its collective motion develop.
02 / Patterns, shapes & proof
Makarov Math Suite
120 interactive modules
Find the beauty in the structure.
Visual mathematics you can experiment with: fractals, topology, geometry, calculus, linear algebra, probability, statistics and algorithms. Rotate a surface, change a construction or follow an algorithm one step at a time.
The visuals are a starting point for understanding. Explore how a knot changes, how a shortest path is found, or how numerical precision limits a fractal zoom. Spatial scenes sit alongside plots and diagrams that help make the underlying relationships visible.
- Fractals & chaos
- Geometry & topology
- Calculus & algebra
- Probability & algorithms
A knot worth getting lost in
Try the torus knots: change the two winding numbers, then rotate the view to follow the resulting curve.
More to explore
One formula, many forms
Adjust the parameters of a supershape and explore smooth, spiky and unexpected three-dimensional geometry.
Geometry that keeps unfolding
Explore intricate three-dimensional fractals rendered from distance fields.
The closer you look
Zoom into the Mandelbrot set and investigate where numerical precision begins to affect the picture.
The geometry of a thin film
Rotate and examine curved minimal surfaces to connect their local geometry with their overall form.
A glimpse of four dimensions
Use a three-dimensional projection to explore the structure of a four-dimensional polytope.
Finding the cheapest route
Follow a shortest-path algorithm across a weighted landscape and see the route it discovers.
A slice becomes a curve
Move a plane through a cone and connect the 3D intersection with its corresponding planar curve.
03 / Beyond our planet
In developmentMakarov Astronomy Suite
32 interactive modules
A universe of questions.
Explore orbital dynamics, stars, observation and cosmology through interactive astronomy models. Follow ring particles, examine a gravitational lens or investigate the geometry of a pulsar’s beam.
The developing collection connects the view in space with the quantities an observer can measure. Experiment with planetary systems, stellar encounters and light curves, while keeping the assumptions and scale of each model in mind.
- Orbits & gravity
- Stars & observation
- Galaxies & cosmology
A look inside the work in progress. Store links will appear here when the suite is available.
Every particle has its own orbit
Try Saturn’s rings: compare orbital periods and see how particles at different radii drift apart.
More to explore
Matter on the move
Inspect an accretion-disc model and connect its spiral structure with orbital motion and the accompanying plots.
Two galaxies, one encounter
Change the encounter and watch how gravity reshapes two interacting stellar systems.
When gravity becomes a lens
Explore how a lens changes the apparent shape and position of a background source.
A lighthouse in space
Change the viewing geometry and see how a rotating beam produces the observed pulse.
Two tails, two stories
Compare the dust and ion tails of a comet as it travels through its orbit.
Behind the picture
A closer look at the suites.
Built for your desktop
The Windows applications use C#/.NET and OpenGL, with GPU acceleration in selected modules. Rendering requirements vary; check the relevant store page for system requirements.
A language you are comfortable with
The suites include 23 interface languages, with translation coverage varying by language. The simulations run locally on your computer.
A few practical things
Before you explore.
Which suites can I get now?
Makarov Physics Suite and Makarov Math Suite are available for Windows on Steam and Microsoft Store. Makarov Astronomy Suite is in development; the images here show its current development version.
Are all experiments three-dimensional?
The collections combine interactive 3D scenes with 2D fields, graphs, geometric constructions and step-by-step visualisations. Each topic uses the presentation that suits the idea being explored.
Can I use the suites for teaching or self-study?
You can explore individual experiments, demonstrate a concept and compare the effect of changing parameters. Many modules include explanations, measurements and suggested experiments to guide further investigation.
Do the simulations run offline?
The simulations run locally. You need a connection to download and update the applications through your chosen store; store account and licensing requirements apply.
Is there a macOS version?
A native Swift and Metal port is in development. The store links on this page are for the released Windows products.
An independent project · Since 2004
Built from curiosity.
I am Mykhailo Makarov, a software developer in Munich. I wrote the first version of this project in 2004, using Delphi and OpenGL for physics lessons. Today I am rebuilding and expanding that idea: give an abstract concept a form you can inspect, change and understand.