The playground

Numbers have no memory.
Watching them prove it is the fun part.

54 explorations of 163 lotteries and 1,058,180 draws. Every one shows what chance predicts beside what actually happened — because raw counts always look patterned, and the real mathematics is stranger than the myths.

Patterns, formulas and history

Pattern Recipe Lab

Combine primes, squares, Fibonacci numbers and sums. Count how much of chance your recipe describes.

Arithmetic Progression Garden

Find equal steps and mirror pairs in history, then grow a fair comparison.

Same Odds, Different Waits

HH and HT each have a one-in-four chance in two flips. Why does one take longer to arrive?

Wrong Formula Lab

Give fair numbers the wrong baseline and watch an innocent pattern appear.

Euler’s Lottery Desk

From a 1767 paper to every possible arrangement of consecutive runs.

Casanova’s Risky Treasury

A profitable lottery can still run out of money. Explore a fictional treasury inspired by history.

The Lottery That Chose Lives

Read the 1969 and 1970 US draft drawings through their actual calendar ranks.

The Museum Built by Chance

A royal proposal, an annuity ticket and a national collection: three objects from lottery history.

Investigate, play, understand

Chance Detective

Three simulated machines. Which would you investigate?

The Headline Factory

Find a miracle in a fair archive, then count the searches that found it.

The Crowd Through Time

Does the estimated preference for birthday numbers change over time or with jackpots?

Thirty Years of Saturdays

One hypothetical routine, thousands of lives, and the full spread of outcomes.

Start here — one number at a time

Frequency Explorer

Hot and cold numbers, shown against what chance actually predicts.

Gap & “Overdue” Tracker

How long since each number appeared — and why “due” is a fiction.

Sum Distribution

The bell curve of luck: why draw totals cluster in the middle.

Consecutive Numbers Surprise

Roughly half of all draws contain two numbers in a row. Really.

How numbers relate to each other

Harmony Matrix

Every pair of numbers, and how often they have come up together.

Number Constellation

The draw history as a network of glowing, connected numbers.

Carry-over / Déjà Vu

Numbers repeating from the previous draw, and the Bulgaria 2009 case.

Delta Space

The gaps between the numbers within a draw, and their real shape.

Going deeper

Coverage Race

How long until every single number has appeared at least once.

Draw Fingerprints

Every draw as a point in feature space — explore the whole history.

Randomness Observatory

Chi-squared, runs, entropy and autocorrelation, tracked over time.

Positional Ribbons

Where the smallest, second-smallest and largest numbers tend to fall.

Cross-Lottery Mirror

Different games, normalised onto one scale, behaving identically.

Culture, true stories, and the one real edge

Six true stories

Mandel, Tipton, the Triple Six Fix — when the lottery really was beaten.

Cultural Numbers Atlas

Lucky 7, unlucky 4, the Smorfia — what the world believes about numbers.

The Unpopular Numbers Edge

The one real edge: not winning more often, but sharing less.

Wheel Workshop

Covering designs — guaranteeing a small win, at a price.

Myth Rebuttal

“Due”, “hot”, “cold” — pick a folk claim and see the math that kills it.

Test the pattern — sequence laboratories

Pattern Court

Lock hot, cold or overdue rules, then judge them only on future draws.

Draw Rank Stream

Give every complete combination one rank and inspect the resulting river.

Anytime Bias Watch

Evidence that stays valid even when the monitor is checked after every draw.

Whole-Draw Drift

Compare two regimes as complete draw-sets, without cherry-picking a feature.

Conditional Harmony

Hold every ball frequency fixed and see which pair patterns remain.

Residue Kaleidoscope

Turn odd/even into modulo 2–10, with the exact finite-pool baseline.

Digit Laboratory

Pick 3 and Pick 4 analysed as positional digits drawn with replacement.

Crowd Calibration Lab

Use prize-table winners to test and calibrate the crowd-popularity model.

Calibration Forge

Measure each detector’s false alarms and power on independent synthetic histories.

Johnson Spectrum

Separate single-ball, pair-after-single, and whole-draw structure on the subset slice.

Compression Lab

Ask whether ranks, overlaps, or spacings are suspiciously easy to describe.

Forecast Arena

Choose a pattern model on discovery data, then make it predict untouched later draws.

Exchangeability Watch

An anytime-valid whole-draw alarm that does not need to name the fault in advance.

Gap Uniformizer

Translate every completed wait onto one uniform ruler and test what remains.

Sharing Map

Which numbers the crowd already holds, measured from prize tables rather than assumed.

Chernoff Map

Every Pick 3 and Pick 4 number, shaded by how many people are holding it.

Return Ledger

What a game actually paid back, draw by draw, and every night it paid out more than it took.

Rule-Change Ledger

Every rule era a game has had, and by how much each redesign lengthened the odds.

Machine Room

Every drum and every set of balls tested on its own, where a physical fault could hide.

Calendar Court

Six ways of splitting the calendar, asking whether the machine is fair on every day of the year.

Balls versus RNG

Whether a day’s two draws know about each other, and how the two ways of drawing compare.

World Fairness Board

Every game tested the same way, and one distribution that answers the question people arrive with.

Regression Ledger

Every anomaly this site would have called remarkable, and what fresh draws said about it afterwards.

Lottery Design Studio

Build the game yourself — k, N, a bonus drum, a price and a prize ladder — and read what you built.