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Home » "Groovy Slime Made Without Glue? Try This Explosively Fun DIY Method! - Tacotoon

"Groovy Slime Made Without Glue? Try This Explosively Fun DIY Method! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 ÷ 18 = 47.5 → not

📌 ÷ 18 = 52.5 → not

📌 This pattern suggests θ = 45(2k+1), so θ = 90k + 45 → always ≡45 mod 90 → not divisible by 90.

📌 But is 90k + 45 divisible by 18?

📌 mod 18 = 9 → so 90k mod 18 = 0, 45 mod 18 = 9 → so θ mod 18 = 9 → not 0 → so not divisible by 18!

📌 Ah! Critical error: step size 18 → angle must be divisible by 18 to be reachable.

📌 But 45 is not divisible by 18. So can the robotic arm reach 45°? Only if 18n = 45 → n = 2.5 → not integer → impossible.

📌 In fact, only angles divisible by gcd(18,45) = 9° are reachable? No — by the linear combination: 18n - 45k = 0 → all reachable angles are multiples of 9, but specifically, since 18 and 45 share factor 9, reachable angles are multiples of 9°, but more precisely, the set is {9k | k ∈ ℤ}, but constrained by step size.

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