This is interesting!I also think theres space for both Disposable Code and Durable Code but we need to classify it i suppose, but this is a great start! thank you for writing it, lots of opportunities!
Discovering a Dual Output Symbolic Arithmetic System: DW211
I’d like to share a symbolic arithmetic structure I’ve been exploring, called *Delta Wave 0211 (DW211)*. It arises from analyzing operations like `1 + 1`, but treating them not just arithmetically (`2`) — but also *symbolically*, as concatenations (`11`).
This reveals a *recursive delta pattern* between symbolic and numeric outputs, oscillating with deltas like *+11, –2*, which I call the *DW211 Wave*. It behaves structurally like a wave: pulsing between logical operations and symbolic echoes.
I’ve been formalizing this into a computational framework that includes:
- Symbolic delta tracking
- Dual-state output engines
- Recursive number systems with identity memory
- Potential applications in symbolic AI, arithmetic identity, and even blockchain logic
I’m curious whether this resonates with anyone exploring symbolic computation, alternative arithmetic grammars, or recursive number systems. Would love feedback, counterexamples, or links to similar work.
I built Symbase, a symbolic computing engine that runs entirely in the browser.
Unlike traditional apps that rely on arithmetic logic (1 + 1 = 2), Symbase lets you define and run symbolic logic rules — including alternate logic like 1 + 1 = 11.
This has outputted a unique number sequence that has been registered by the oeis in a -2, +11 sawtooth wave that powers the symbase core engine.
It supports apis, recursive transformation, emotional state tagging, and visual memory, all live-editable via plain text files.
e.g. twilio api call tied to an emoji then tied to an action.
There’s no backend. Everything runs in JavaScript. Logic lives in .symglossary files, and memory in .symchat. The engine interprets meaning, not just math — and you can build symbolic apps, AI agents, calculators, games, or mood-reactive interfaces without writing new logic code.
I see this as a new computing model — somewhere between a programmable language and an operating system — designed for meaning, recursion, and visual evolution.
Demo + Download: [www.fr3action.com]
"For example on the fr3action website the emojis are hard coded to manipulate the UI"
I’d love your feedback — especially on how it compares to language VMs, early OS models, or even programmable UI paradigms.
I am currently focused on completing an IDE for symbase and exploring other use cases.
I’ve been working on a symbolic computation engine based on a number sequence I discovered during experimentation with arithmetic vs. symbolic logic. I call it the Ruth Sequence, and it's defined by a recursive alternation between -2 (reset) and +11 (symbolic leap). What emerges is a sawtooth-like symbolic number pattern:
(-2, 9, 7, 18, 16, 27, 25, ...)
This logic is different from arithmetic — for example:
* 1 + 1 = 2 in math
* but 1 + 1 = 11 in symbolic form (concatenation, not addition)
*
I used this to build a prototype symbolic OS (called Symbase) layered into 3 parts:
1. Arithmetic Layer – raw numbers
2. Normative Layer – symbolic strings like “100100”
3. Geometrical Layer – shapes/patterns from symbolic logic
This lets the system treat leading zeros, emotional state changes, and recursive logic as symbolic operations, not just numerical ones. It can be used for:
