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Home » Discover the Jack Hall Gang Map 1 Before It Disappears Forever! - High Altitude Science

Discover the Jack Hall Gang Map 1 Before It Disappears Forever! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 However, if we reinterpret the question as seeking a fourth point $D = (x, y, z)$ such that all six edges $AB, AC, AD, BC, BD, CD$ are equal and the coordinates are integers, we proceed by solving the system:

📌 Let $AB = BC = CD = DA = DB = DC = s$. Then we solve the system of equations:

📌 Subtracting the first equation from the second and the second from the third gives linear equations in $x, y, z$. Subtracting the first from the second:

📌 [(x - 4)^2 - (x - 1)^2] + [(y - 5)^2 - (y - 2)^2] + [(z - 6)^2 - (z - 3)^2] = 0

📌 -6x -6y -6z + 63 = 0 \Rightarrow x + y + z = 10.5

📌 This is not possible with integer coordinates. Hence, no such integer-coordinate point $D$ exists.

📌 Therefore, the answer is:

📌 \boxed{\text{No such point with integer coordinates exists.}}

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