Fibonacci Clock+ vs Dozenal Calc

Fibonacci Clock+ — Feature Highlights Core Clock • Full-screen Fibonacci clock: 5 tiles (1, 1, 2, 3, 5) that light up in different colors to show the current time • Reads hours from red + yellow tiles, minutes (in 5-min steps) from green + yellow tiles • Auto-updating live, second-by-second Digital Time Companion • Toggleable digital time pill in the top nav • Tap to switch between 12-hour (AM/PM) and 24-hour (military) formats • Preference remembered across launches 5 Watch Themes (persisted) • Classic — walnut wooden frame, painted tiles • Military — tactical olive • Doctor — clean clinical white • Navy — deep maritime blue • Digital — glowing neon retro Calculation Panel • Slide-out left panel shows the math: e.g. "12h = 2 red + 8 yellow", "25 min = (3 green + 2 yellow) × 5" • Learn how Fibonacci addition builds every time Interactive Physics Playground • Extra minutes (0–4 leftover) appear as floating icons • Star mode: zero-gravity — drift freely • Football mode: real gravity + bounce • Drag and fling icons with momentum • Icon-to-icon collisions with visual ring + haptic feedback Music & Sound • Built-in ambient "Quiet Morning" loop • Pick songs from your iPhone Music Library via MusicKit • Compact transport pill: shuffle · previous · play/pause · next · loop • All persists — loop and shuffle preferences remembered • Optional hourly chime Interactive Info Sheet • Mini-clock demo with sliders — set any hour & minute to see how the tiles decompose • "Now" button snaps the demo back to real time Polish • Landscape-locked, immersive full-viewport layout • Idle timer disabled so the clock never dims • Smooth theme transitions and spring animations • Reserved safe zones so controls, digital time and banner never overlap the clock Version 3.0.0 Fibonacci Clock+:  To get the time you need some math. The view of the clock is made up of five squares whose side lengths match the first five Fibonacci numbers: 1, 1, 2, 3 and 5. The hours are displayed using red and the minutes using green. When a square is used to display both the hours and minutes it turns Yellow(Red + Green). Black squares are ignored. Minute Box(Green Or Yellow): represents 5 mins Hour Box(Red Or Yellow): represents 1 hrs. The remaining minutes are represented by stars or Football, which are shown or hidden according to the current time. App also provides background music "The quiet morning" by David Fesliyan. https://www.fesliyanstudios.com/about

A "dozenal calculator" — a scientific calculator that computes not in tens, but in twelves. With its own symbols for the digits. What base 12 can do that base 10 can't In the decimal system, 1/3 is an infinite repeating fraction (0.333…). In base 12 it's short and exact: 0.4. Sixths, ninths, and every fraction whose denominator is built from twos and threes also become finite in dozenal. No coincidence: twelve has six divisors, ten only four. Dozenal Calc computes exactly — a rational track runs in parallel with floating-point arithmetic. Repeating fractions appear with a bar over the recurring digits, for example 1/7 as 0.186A3 with a repetend bar. Features • Basic arithmetic, parentheses, signs • Power, square root, nth root, logarithm to any base • Trigonometric and hyperbolic functions including their inverses • Constants π, e, φ, √2; factorial, absolute value, reciprocal, modulo • Parallel addition (a⊕b) for resistor circuits • Memory (STO/RCL/MC) with exact rational preservation • Angle modes DEG / RAD / GRAD • Numeral-system switch (base 12/10) in the settings — input AND result, applies to both calculators • Light and dark theme Unit converter One swipe to the left opens the second calculator: it converts imperial and metric units into one another — length, area, volume, weight, time, angle, money (£/sh/d), temperature and more. Compound entries like 3 ft 5 in, breakdown into part units, and math right inside the entry (× ÷ ⊕ ^ √ log) with memory and constants. Results travel between the two calculators at the press of a key. A color code keeps the worlds apart: green for the world of ten (metric, base 10), violet for the world of twelve (imperial, base 12). Hands-on theory — now with pictures A richly illustrated read explains why twelve in particular is a special number, in three blocks: • Twelve and the World — from the dodecagon and dodecahedron through pyrite, garnet, viruses and quasicrystals to music, art, architecture and calendars • Dozenal Mathematics — divisors and periods, the number bases compared, a history of place-value systems • Dozenal Society — the movement for twelve, new digits for ten and eleven, the TGM measurement system and related dozenal calculators Many chapters show public-domain historical illustrations — from Haüy's pyrite plate through Leonardo's dodecahedron to Vermeer's balance — each with a tappable source citation. Plus a dedicated unit theory on measure and number, two illustrated operating manuals for both calculators, and recommendations for dozenal-friendly calculators on every platform. Fourteen languages Deutsch, English, Français, Español, Italiano, فارسی, Русский, Gaeilge, हिन्दी, 简体中文, 繁體中文, Cymraeg, 日本語, العربية — freely selectable in the info menu. What Dozenal Calc doesn't do • No ads, no tracking, no analytics • No internet connection, no permissions • No personal data The app works completely offline. What you type stays on your device. Who is it for? For teachers who want to show how a different number system transforms everyday work with fractions — and for anyone who wants to see mathematics from an unfamiliar perspective. License: MIT. Contact: dozenal@weltanschauung.app