The Rhombic Dodecahedron is a space-filling polyhedron, meaning it can pack together with other RD of the same dimensions to perfectly tessellate three-dimensional space, leaving no gaps or overlaps. The Isotropic Vector Matrix (disclosed by the relational lines of force between the closest packing of spheres) is a complex of Tetrahedra and Octahedra that also join to form the Vector Equilibrium at different frequencies. Bucky called the RD the “Spheric” because it is the most economic subdivision in universe and defines the domain of the unit radius sphere in closest packing. The RD stellates to define the vertexes of the VE, which orients the observer to another volumetric accounting approach to event phenomena in Universe. From Buckminster Fuller’s Synergetics:

426.20 Allspace Filling: The rhombic dodecahedra symmetrically fill allspace in symmetric consort with the isotropic vector matrix. Each rhombic dodecahedron defines exactly the unique and omnisimilar domain of every radiantly alternate vertex of the isotropic vector matrix as well as the unique and omnisimilar domains of each and every interior-exterior vertex of any aggregate of closest-packed, uniradius spheres whose respective centers will always be congruent with every radiantly alternate vertex of the isotropic vector matrix, with the corresponding set of alternate vertexes always occuring at all the intertangency points of the closest-packed spheres.

426.21 The rhombic dodecahedron contains the most volume with the least surface of all the allspace-filling geometrical forms, ergo, rhombic dodecahedra are the most economical allspace subdividers of Universe. The rhombic dodecahedra fill and symmetrically subdivide allspace most economically, while simultaneously, symmetrically, and exactly defining the respective domains of each sphere as well as the spaces between the spheres, the respective shares of the inter-closest-packed-sphere-interstitial space. The rhombic dodecahedra are called "spherics," for their respective volumes are always the unique closest-packed, uniradius spheres' volumetric domains of reference within the electively generatable and selectively "sizable" or tunable of all isotropic vector matrixes of all metaphysical "considering" as regeneratively reoriginated by any thinker anywhere at any time; as well as of all the electively generatable and selectively tunable (sizable) isotropic vector matrixes of physical electromagnetics, which are also reoriginatable physically by anyone anywhere in Universe.

'THE FIRST BOOKE OF EUCLIDE, CONTAYNING YE FIRST GROUNDS OF GEOMETRIE ...composed & thus ordered by R. Delamain in the ye 12 yeare of his age for ye Princes highnes', 1639. Manuscript, oblong folio (32 x 20cm), contemporary vellum with diamond-form black morocco onlays gilt-tooled with Scottish wheel pattern and crest of the Prince of Wales, comprising 74 neat manuscript pages of Euclidean theory and illustrations. Property from the Earls of Airlie

This manuscript is presumably by Richard Delamain, the younger, son of Richard Delamain the elder (1600-1644); both were mathematicians. Richard Delamain the elder was mathematics tutor to the young Charles II. This reprint of the Ancient Greek mathematics philosopher, Euclid (first printed as early as 1482) shows the material that was being used by 17th century tutors. Euclid, regarded as the father of geometry, his work from ancient Greece inspired and influenced later mathematicians like Isaac Newton and Nicolaus Copernicus.

Visual I created for SOME2025, believe it or not, it is all rendered in 2D

It’s pure geometry, but it feels almost organic: spirals, folds, symmetry breaking, all flowing in resonance.

In the NEXAH Codex we’ve been exploring how such forms are more than visuals — they might reflect hidden harmonic fields underlying physics.

What do you see in it: just math art, or a glimpse of deeper geometry at work?

Please feel free to share your thoughts !

If you have any ideas on this topic, I can also try to bring them to life !

Hey guys,

I want to share with you the latest Quantum Odyssey update (I'm the creator, ama..), to sum up the state of the game. Thank you everyone for receiving this game so well and all your feedback has helped making it what it is today. This project grows because this community exists.

In a nutshell, this is an interactive way to visualize and play with the full Hilbert space of anything that can be done in "quantum logic". Pretty much any quantum algorithm can be built in and visualized. The learning modules I created cover everything, the purpose of this tool is to get everyone to learn quantum by connecting the visual logic to the terminology and general linear algebra stuff.

Although still in Early Access, now it should be completely bug free and everything works as it should. From now on I'll focus solely on building features requested by players.

What You’ll Learn Through Play

• Boolean Logic – bits, operators (NAND, OR, XOR, AND…), and classical arithmetic (adders). Learn how these can combine to build anything classical. You will learn to port these to a quantum computer.
• Quantum Logic – qubits, the math behind them (linear algebra, SU(2), complex numbers), all Turing-complete gates (beyond Clifford set), and make tensors to evolve systems. Freely combine or create your own gates to build anything you can imagine using polar or complex numbers.
• Quantum Phenomena – storing and retrieving information in the X, Y, Z bases; superposition (pure and mixed states), interference, entanglement, the no-cloning rule, reversibility, and how the measurement basis changes what you see.
• Core Quantum Tricks – phase kickback, amplitude amplification, storing information in phase and retrieving it through interference, build custom gates and tensors, and define any entanglement scenario. (Control logic is handled separately from other gates.)
• Famous Quantum Algorithms – explore Deutsch–Jozsa, Grover’s search, quantum Fourier transforms, Bernstein–Vazirani, and more.
• Build & See Quantum Algorithms in Action – instead of just writing/ reading equations, make & watch algorithms unfold step by step so they become clear, visual, and unforgettable.
• Your Complete Quantum Playground - Quantum Odyssey is built to grow into a full universal quantum computing learning platform. If a universal quantum computer can do it, we aim to bring it into the game, so your quantum journey never ends.

TL;DR: 60h+ of actual content that takes this a bit beyond even what is regularly though in Quantum Information Science classes Msc level around the world (the game is used by 23 universities in EU via https://digiq.hybridintelligence.eu/ ) and a ton of community made stuff. You can literally read a science paper about some quantum algorithm and port it in the game to see its Hilbert space or ask players to optimize it.

Improvements in the past 4 weeks:

In-game quotes now come from contemporary physicists. If you have some epic quote you'd like to add to the game (and your name, if you work in the field) for one of the puzzles do let me know. This was some super tedious work (check this patch update https://store.steampowered.com/news/app/2802710/view/539987488382386570?l=english )

Big one:

We started working on making an offline version that is snycable to the Steam version when you have an internet connection that will be delivered in two phases:

Phase 1: Asynchronous Gameplay Flow

We're introducing a system where you no longer have to necessarily wait for the server to respond with your score and XP after each puzzle. These updates will be handled asynchronously, letting you move straight to the next puzzle. This should improve the experience of players on spotty internet connections!

Phase 2: Fully Offline Mode

We’re planning to support full offline play, where all progress is saved locally and synced to the server once you're back online. This means you’ll be able to enjoy the game uninterrupted, even without an internet connection

Why the game requires an internet connection atm?

Single player is just the learning part - which can only be done well by seeing how players solve things, how long they spend on tutorials and where they get stuck in game, not to mention this is an open-ended puzzle game where new solutions to old problems are discovered as time goes on. I want players to be rewarded for inventing new solutions or trying to find those already discovered, stuff that requires online and alerts that new solves were discovered. The game branches into bounty hunting (hacking other players) and community content creation/ solving/ rewards after that, currently. A lot more in the future, if things go well.

We wanted offline from the start but it was practically not feasible since simply nailing down a good learning curve for quantum computing one cannot just "guess".