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Home » ight)} = -2 \cot\left(rac heta - \phi2 - Esdistancia

ight)} = -2 \cot\left(rac heta - \phi2 - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Thus, the only positions that are multiples of 45 and reachable by 18° increments are multiples of 90° — which are also multiples of 90, hence invalid.

📌 So is there no solution? But that can't be.

📌 Unless multiple of 45 allows non-integer steps? No — physical rotation must be in full steps.

📌 So no such angle exists that is multiple of 45 and a multiple of 18, except multiples of 90, which are invalid.

📌 Wait — perhaps the angle doesn't have to be integer multiple in value, but the setup allows fractional, but no — it's discrete steps.

📌 Re-read the problem: "rotates in precise increments" — so discrete.

📌 So the only way is to find smallest m such that 45m is divisible by 18 and 45m not divisible by 90.

📌 45m ÷ 18 = (45/18)m = 2.5m → so m must be even for 2.5m integer.

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