Mastermind
Deduce a hidden chromatic or numerical sequence in fewer than 10 turns through boolean feedback pegs signaling exact matches and misplaced elements.
HISTORICAL ORIGIN LORE
The Lineage of Mastermind
Derived from the traditional English pencil-and-paper codebreaking game Bulls and Cows (played with 4-digit numbers), the modern colored peg version was invented in 1970 by Israeli postmaster and telecommunications expert Mordecai Meirowitz. After being manufactured by Invicta Plastics, it became one of the most successful codebreaking games in history, analyzed by computer scientist Donald Knuth in 1977.
SYSTEM MECHANICS & RULES
Rules & Cognitive Architecture
The codemaker conceals a secret sequence of 4 pegs chosen from 6 available colors/symbols.
The codebreaker submits a guess row of 4 pegs.
The system returns feedback pegs: Black/Solid peg for each peg correct in both color and position; White/Hollow peg for each peg correct in color but wrong in position.
Feedback gives no clue as to which specific pegs earned the markers. Deduce the code within 8–10 rows.
Trained Mental Models
- ▸Inductive hypothesis testing and logical elimination
- ▸Information entropy reduction and minimax guess selection
- ▸Multi-variable constraint intersection across sequential rows
INCLUDED FREE FOREVER
The Three Base Tiers
Gentle
4-slot code with no duplicate colors allowed, yielding clear logical elimination branches.
Standard
4-slot code with duplicate colors permitted, introducing multiplicity ambiguity to feedback interpretation.
Deep
5-slot code with 8 possible colors and duplicate allowances, expanding permutation space to 32,768 states.
BEYOND+ MASTER EDITIONS
The Master Variants for Mastermind
Six-Slot Repeats
6-slot code array with 8 symbols expanding search space to 262,144 states
Expands the code to a 6-position array chosen from 8 distinct obsidian symbols with duplicates permitted. Requires Donald Knuth-level information theory to solve within 8 attempts.
- ·262,144 permutation state management
- ·Entropy-maximizing guess evaluation hints
- ·Cryptographic seed code generation
Six-Slot Permutation
Cryptic parity feedback challenging Knuth five-guess optimal algorithms
Advanced permutation mode where feedback pegs provide strict algebraic balance without disclosing duplicate collisions, pushing deductive logic to its theoretical limits.
- ·Knuth minimax five-guess benchmark simulator
- ·Multi-peg ambiguity resolution logic
- ·Mathematical consistency checking engine
FREQUENTLY ASKED QUESTIONS
Questions on Mastermind Architecture
Do the feedback pegs reveal which specific slots are correct?
No. Feedback pegs indicate only how many slots are correct or misplaced, requiring you to cross-reference multiple rows to deduce positions.
Can colors repeat in standard mode?
Yes. In Standard and Deep modes, duplicate colors are allowed in the secret code, which adds a layer of deductive complexity.
Are there visual accessibility options for color blindness?
Yes. nook games pairs each color with distinct geometric glyphs (circle, diamond, triangle, etc.) so gameplay is fully accessible.
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Play Mastermind on Android
Available directly on Google Play with Gentle, Standard, and Deep tiers included free forever.