Throwing

The wobble model, why accuracy improves with play, and the board geometry.

A throw is an aim point and a power error. Where the dart actually lands is that aim plus a random offset.

The wobble

Config.Wobble = { Base = 0.25, Power = 0.35 }

The spread of the offset is

spread = Base * (1 - accuracy) + Power * powerError

and the dart lands somewhere uniformly inside a circle of that radius, in board units where the double wire is at 1.0.

Two things follow.

Base is the skill term. At accuracy 1.0 it contributes nothing; at accuracy 0.5 it contributes half of 0.25, which is an eighth of the board radius. That is the difference between a player who hits what they aim at and one who does not.

Power is the timing term. A perfectly timed throw has no power error and no contribution; a badly timed one adds up to 0.35, which is a third of the board.

Raise Base to make skill matter more and untrained players worse. Raise Power to make the timing meter matter more relative to skill.

Accuracy improves with play

A player's accuracy is not a setting. It is derived from their record:

accuracy = clamp(DartsHit / DartsThrown, 0.5, 1)

A brand-new player with no record throws at 0.8. From then on their accuracy is their own hit rate, floored at 0.5 so a terrible run never makes the game unplayable, and capped at 1.0.

This is a progression system disguised as a physics model

A player who plays well throws more accurately, which makes them play better. That is a positive feedback loop, and it is deliberate: it means a returning player is measurably better than they were, without a level number anywhere.

It also means a player who spends an evening throwing at nothing in practice can lower their own accuracy. If that bothers you, exclude practice matches from the hit and throw counters.

The board

Config.Radii = {
    InnerBull = 0.037,
    OuterBull = 0.094,
    TrebleIn  = 0.582,
    TrebleOut = 0.629,
    DoubleIn  = 0.953,
    DoubleOut = 1.0,
},

Proportional radii from the centre, with the outside of the double ring at 1.0. These are real dartboard proportions: the treble ring is narrow, the bull is small, and the gap between them is most of the board.

Ring	Scores
Inner bull	50
Outer bull	25
Treble	Three times the sector
Double	Twice the sector
Single	The sector
Outside the double	Nothing

Widening TrebleOut minus TrebleIn makes trebles easier and is the single most effective way to make the game more forgiving. It also makes 180s common, which devalues the leaderboard stat that counts them.

Sector order

Config.Sectors = { 20, 1, 18, 4, 13, 6, 10, 15, 2, 17, 3, 19, 7, 16, 8, 11, 14, 9, 12, 5 }

The genuine clockwise order. It is what makes missing 20 expensive and missing 19 survivable, which is the whole strategic texture of a real dartboard.

Do not reorder it to be "fairer". The arrangement is the game.

What the server decides

The aim comes from the client, and everything after it is server-side: the wobble, the sector and ring the dart landed in, the score, the bust check and the leg state.

A modified client can aim wherever it likes. It cannot decide where the dart lands or what it was worth.

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