@open-rgs/multiways

Each reel draws its own height, every spin.

Heights are the mechanic

Each reel independently draws a height, and the ways available that spin are the product. Six reels at two to seven span 64 ways to 117,649. Because a shape is already a list of column heights, this needed almost no code.

24 ways 60 ways 63 ways 64 ways 28 ways 36 ways 75 ways 42 ways 48 ways 50 ways

Reels grow and shrink independently, so the ways count moves with them.

import { heights, multiwaysFillWeights } from "@open-rgs/multiways";

const H = heights({ 2: 20, 3: 25, 4: 25, 5: 15, 6: 10, 7: 5 }, 6);

const reels = multiwaysFillWeights(H, { LOW: 55, HIGH: 12, WILD: 5 });

The marketing number

Reel heights are drawn independently, so the expected board ways is the product of the per-reel expectations. Correlate the reels and that stops being true.

2×3×4=24

Ways is the product of the heights the spin drew.

import { expectedWays, minWays, maxWays } from "@open-rgs/multiways";

minWays(H);
maxWays(H);
expectedWays(H);

Do not rescale by ways

A k-column win carries a multiplier scaling as h to the k, while the board scales as h to the reel count. Only a paytable weighted entirely on full-length runs tracks board ways; everything shorter scales slower, and short runs hold most of the expected value.

pay-ways needs no change: it multiplies match counts, never heights.

import { expectedWaysPayout } from "@open-rgs/multiways";

expectedWaysPayout(H, 0.25, (k) => PAY.pay("HIGH", k));