About

This Wheel of Fortune Spinner serves as an unbiased algorithmic decision-making tool designed to eliminate decision paralysis and facilitate random selection processes. Unlike physical wheels subject to mechanical bias (friction irregularities, weight distribution issues), this digital implementation utilizes crypto.getRandomValues to generate an initial torque impulse, ensuring a cryptographically secure and non-deterministic outcome.

The simulation employs a physics-based decay model where angular velocity ω decreases over time due to a simulated friction coefficient μ. This mimics the tactile experience of a real wheel while guaranteeing that every segment S_i has a statistically equal probability P of selection, assuming equal arc lengths. It is ideal for raffles, classroom activities, or resolving binary choices.

Formulas

The probability of the pointer landing on any specific segment S in a fair wheel is inversely proportional to the total number of segments n.

P(S) = 1n × 100%

The final resting angle θ_final is determined by the initial angular velocity ω₀ and the deceleration due to friction α over time t.

ω(t) = ω₀ × μ^t

Reference Data

Segments n	Probability P (%)	Arc Angle θ (°)
2	50.00%	180.0°
3	33.33%	120.0°
4	25.00%	90.0°
5	20.00%	72.0°
6	16.67%	60.0°
8	12.50%	45.0°
10	10.00%	36.0°
12	8.33%	30.0°
20	5.00%	18.0°
50	2.00%	7.2°

Frequently Asked Questions

Yes. We use the browser's native Cryptography API to generate the initial spin force. This ensures the outcome is not predictable by a pseudo-random number generator (PRNG).

The wheel supports up to 50 distinct segments to maintain visual legibility. For best results, we recommend between 4 and 20 items.

Yes. Your custom entries are stored locally in your browser (LocalStorage), so they will remain available if you refresh the page or return later.

No. The physics engine is strictly deterministic based on the random initial impulse. There are no hidden weights or "cheat" modes in the code.