ClarityToybox · Games Suite

Welcome to ClarityToybox

Designed for quiet thinking and simple joy.

ClarityToybox is a collection of small and calm logic and memory games. No logins or accounts needed. Everything runs entirely in your browser. Your progress and preferences are saved automatically on your device. The Toybox presently contains the following games (more will be added on a rolling basis):

MemoryTiles — match symbol pairs, sharpen recall.
PathLines — avoid obstacles and trace flowing paths without crossing yourself.
SequenceGarden — remember and repeat the sequences in which panels flash up.
Constellation — see if you can memorise symmetric patterns.
SequenceForge — choose the next term in a hidden pattern.
SumLeaves — find number pairs that meet a target sum.
ColourBloom — blend hues until the palette feels balanced.
FractalGrow — watch recursive geometry bloom.

Features

Local-only: works offline; all data stays on your device.
Autosave & Backup: export or restore progress as a JSON file. Your progress persists automatically (until you clear cookies or browsing data) as long as you are in the same browser. To move your stored progress from one browser or device to another, use Backup → Restore
Theme Toggle: seamless light/dark mode switch.
Focus-friendly: no timers, ads, or sound; ideal for short breaks or deep-focus resets.

If you are done with play and want to do some work (why?!), then check out ClarityHub. If you want to try some text transformation or data wrangling, see ClarityForge.

Show the maths behind these games

MemoryTiles

For n pairs, there are (2n)! / 2ⁿ possible layouts. Difficulty scales factorially. Optimal play relies on memory rather than chance, mirroring partial matchings in graph theory.

SumLeaves

A friendly form of the Subset Sum problem — an NP-complete puzzle. Each board hides 2ⁿ possible subsets of cells, and the player must find one summing to the target. Difficulty tuning uses number range and target distribution. Learn more about Subset Sum problem.

SequenceForge

Exercises rule induction and algebraic reasoning. Players infer the hidden function f(n), often linear (an + b), quadratic (an² + bn + c), or modular (n mod k). It’s informal function discovery and pattern fitting. Learn more about Integer Sequences.

SequenceGarden

Classic memory growth curve: level k has sequence length k, so total taps = k(k+1)/2. Challenge grows quadratically. Information load increases linearly in bits with each added symbol. How much can you hold in your working memory? Learn more about Working Memory.

Constellation

Based on visual working memory . A pattern of illuminated squares appears briefly on a grid, then disappears, and you have to reconstruct it from recall. It exercises short-term spatial memory and pattern recall, similar to classic pattern-recall tasks in cognitive psychology.

PathLines

Grounded in Euclidean geometry. Path length ≈ Σ |p₍ᵢ₊₁₎ – pᵢ|. Collision tests use distance inequalities. The concept parallels shortest-path problems with geometric constraints. Learn more about Shortest Path problem.

ColourBloom

Colour space as 3-D vectors: (R,G,B). Blends are linear interpolation (1–t)c₁ + t c₂. Switching to HSL or HSV uses cylindrical coordinates — hue as angle, saturation as radius, lightness as height. Learn more about Colour Space.

FractalGrow

Recursive branching with decay factor d and spread α. Segments grow exponentially: (b^(k+1) – 1)/(b – 1). Visuals approximate self-similar fractals with non-integer dimension D defined by N = s^(–D). Learn more about Fractals.