![[Rev-21#v19]]![[Rev-21#v20]]![[Rev-21#v21]] \- Revelation 21:19-21 Each one of these gems share one quality, they are [[Anisotropic]]. ![[Anisotropic]] Historically, 240 gems were known at that period of time. Randomly choosing (with replacement for convenience) 12 anisotropic gems would roughly have the probability $ P(\text{Gem}_1 \text{ is anisotropic}) \times P(\text{Gem}_2 \text{ is anisotropic}) \times \dots \times P(\text{Gem}_{12} \text{ is anisotropic}) $ Approximating the probability $P(\text{Gem}_n \text{ is anisotropic})$ to be around the proportion of known gems that were anisotropic (80%). $ 0.8^{12} = 6.8\% $ The technology and knowledge of atomic crystalline structures did not exist until the 17th century. ![[Isotropic]] --- Side thought: notice how if there was only one more anisotropic gem in the list, it would be less than 5% which is the p-value most commonly used for statistical significance :D so one would need a single "leap of faith" to believe based on only this.