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Omni-MATH / How many equilateral hexagons of side length √(13) have one vertex at (0,0) and the other five vertices at lattice points? (A lattice point is a point whose Cartesian coordinates a…

Problem

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problem

How many equilateral hexagons of side length 13\sqrt{13} have one vertex at (0,0)(0,0) and the other five vertices at lattice points? (A lattice point is a point whose Cartesian coordinates are both integers. A hexagon may be concave but not self-intersecting.)
Plain-text mathematical notation (without MathML)
How many equilateral hexagons of side length √(13) have one vertex at (0,0) and the other five vertices at lattice points? (A lattice point is a point whose Cartesian coordinates are both integers. A hexagon may be concave but not self-intersecting.)
Original LaTeX notation
How many equilateral hexagons of side length $\sqrt{13}$ have one vertex at $(0,0)$ and the other five vertices at lattice points? (A lattice point is a point whose Cartesian coordinates are both integers. A hexagon may be concave but not self-intersecting.)

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Source and history

task_id
349b58ff-847e-5a56-a0dc-e4a377d33aa2
task_key
test--349b58ff-847e-5a56-a0dc-e4a377d33aa2
task_revision_id
1
config / split
/ test

Official source

initial import