Proof of the Hardy-Littlewood K-tuple Conjecture
2025

Using primorial symmetries to prove the existence of infinitely many twin primes.
On the Spectra of Primes in the Sequence of Least Prime Factors
2024

Exploring primorial symmetries in the sequence of least prime factors.
Riemann Zeta Scope
2023

Explore the spirals in the partial sums of the Riemann zeta function.

Möbius inversion of a square wave
2023

From constructing a square with circular wheels to constructing a circle with square wheels.

SHA-256 bit operations
2023

Visualization of all bit operations of the SHA-256 algorithm.
Head-up Cardboard
2014

A Google Cardboard-inspired 3d head-up display. Stereoscopic AR holography with a mobile phone.
Solar System for
Google Cardboard

2014

World's first 3d AR/VR mobile web app.
3d surface graph
2014


Visualize a function as a surface in 3d space.

Problem Solver
2013

Programmable puzzle solver and game tree explorer.


Helix Harmonic Analyzer
2006

The most simple mechanical harmonic analyzer.

OutOfBrain
2004 - 2008

Multi-agent systems based on graph rewriting.
Sixty Wheels
2002

Application for visualizing Fourier Series.
One-shot panorama
2001

One-shot panorama using a spoon.
Autostereograms
1994

3d images hidden in 2d patterns.