These are constructed examples, not predictions of your next roll. The tool shows what a sequence would earn under current rules; it does not create a saved roll, award XP or Stardust, or affect your cooldown.
EXPLORER RESULT
13 discoveries · 823 example XP
Practice only
O1Q21314T5867778B9Z10Y11W12
Select a discovery to highlight its matching positions. This tool awards no account progress.
Available characters
Every official roll has twelve positions. Ordinary English letters and digits make up the Core tier; six increasingly rare special tiers add symbols. Use the exact glyphs below in the analyzer.
Core0 1 2 3 4 5 6 7 8 9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Unusual! ? @ # $ % & *
Rare+ = ^ ~ - /
Exoticα β γ δ π
Celestial☀ ☾ ★ ✦
TranscendentΩ Ψ Φ
Paradox∞ ∅
THREE WORKED EXAMPLES
Worked examples
Each explanation below is paired with a live calculation from the current trait engine. The odds refer to the qualifying trait across a full roll, rather than to the chance of drawing the displayed sequence.
spacing
Two pairs, two neighbors
OQ11T877BZYW
Two adjacent doubles can look extraordinary when you notice specific digits such as 11 and 77. This trait accepts any two distinct characters with neighboring identical copies, in any available positions. Those many qualifying arrangements make the event more common than that one exact string. A run of 111 counts as one qualifying character, not two. The composition hand separately counts matching groups anywhere, even when their characters are far apart.
Double Inseparable Besties2.6765% per roll · 1 in 37.362 · 271 XP
symmetry
A perfect reflection
ABC123321CBA
A full palindrome requires six mirrored matches: position 1 matches 12, 2 matches 11, and so on. That is much stricter than a matching first and last character. This example also has six different pairs; a palindrome made entirely from A would have a different composition hand. The matching rules may both apply because they describe different properties, but identical detector rules are consolidated before rewards are totaled.
Uno Reverse Universe4.1086e-8% per roll · 1 in 2,433,900,000 · 8,372,421 XP
equations
Digits into equations
369CAT7ΩABCD
369 forms 3 + 6 = 9 without needing operator symbols in the roll. A digit equation uses the whole uninterrupted digit run, in order, with no leading zeros. Supported operations are addition, subtraction, multiplication, exact division, powers and factorials. The separate Show Your Work trait requires a complete written equation, such as 1+1=2. CAT can earn a word trait, while Ω counts toward symbol traits.
3-Digit Equation2.0059% per roll · 1 in 49.854 · 351 XP
READING THE RESULTS
Understanding the odds
One position versus twelve
If a particular symbol has probability p in one independently sampled position, its chance of appearing at least once in twelve is 1 − (1 − p)¹². A tier’s probability includes all its symbols. “One specific symbol,” “at least one symbol” and “exactly two symbols” describe different events.
Exact counts and non-overlapping matches
Counted families award the one variant that matches the detected count. Two sevens earn the two-seven trait; they do not also earn the one-seven trait. A word or short sandwich pattern can use a character only once within its own non-overlapping scan. Separate families can still detect different structures in those same positions.
Rewards are not independent probabilities
All traits use the same twelve characters, so many are related. Adding XP is the game’s progression rule; multiplying every displayed trait chance would not give a valid combined roll probability. A letter grade compares total XP with a weighted simulation reference and is an estimate, especially in the rarest tails.
Current analysis and saved history
This analyzer uses current rules. Saved rolls show their stored awards; balance updates may re-analyze earlier sequences, as documented in the changelog. Repeated official finds increase each trait’s mastery. Cosmetics do not affect rewards.
An account adds official timed rolls, saved discoveries, individual trait mastery, profile customization and leaderboards. Official rolls are drawn on the server; typing an example here cannot influence the next result. There is no strategy that makes a rare symbol more likely.