JEFFERY LYN HUCKSTEAD · CEREBRAL GRAPHIX
Project 51.
One identity can have a card face, an exact paper symbol, and several mathematical readings. Prospect 51 turns that distinction into a five-reel poker game.
Original source, demo & verification package
The paper and the live game
The supplied 13-page paper is retained exactly. Its “Rotor 51” section describes the original isolated-point prototype. The website game is now named Prospect 51 and uses the shared jbit bank. The identity dictionary, rotor sampling, poker awards, draw rules, and initial-order jackpot condition are unchanged.
| Action | Current website rule |
|---|---|
| Opening deal | 1 jbit from the shared bank |
| Hold and redraw | Keep any subset; replace the rest once, free |
| Bank a hand | Gross poker award returns to the shared bank |
| Archive jackpot | Exact initial order only; starts at 51 jbits and adds 0.01 per entry |
| Paper-symbol view | Display only; same card, hold, and score |
The shared bank and archive meter belong to this browser. jbits have no cash value. The jackpot is not a global pool across visitors. The prior demo points are not converted into jbits.
What the mathematics establishes
The five opening rotors select without replacement, with moduli 51, 50, 49, 48, and 47. Coprime affine gearing permutes the eligible positions. Under independent uniform input digits, every ordered hand has probability 1 / 281,887,200.
After the opening deal, all five initial identities stay out of the replacement pool, including discarded cards. Replacing r cards has C(46, r) possible unordered completions. The opening census contains 2,349,060 hands; its counts are not an optimal-play return calculation.
Poker forgets order; the archive lock retains it. Swapping two cards can preserve the poker award and destroy the jackpot match. The archive match is fixed by the opening deal and survives a later redraw.