Comment on Making geo joins faster with H3 indexesparentComments−TacticalCoder7moIf joins are a critical performance-sensitive operation, the most important property of a DGGS is congruency.Not familiar with geo stuff / DGGS. Is H3 not congruent because hexagons, unlike squares or triangles, do not tile the plane perfectly?I mean: could a system using hexagons ever be congruent?−urschrei7moHexagons do tile the Euclidean plane perfectly. They are the largest of the three n-gons that do so.−rockinghigh7moThat's not true when tiling the Earth though. You need 12 pentagons to close the shape on every zoom level, you can't tile the Earth with just hexagons. That's also why footballs stitch together pentagons and hexagons.
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Not familiar with geo stuff / DGGS. Is H3 not congruent because hexagons, unlike squares or triangles, do not tile the plane perfectly?
I mean: could a system using hexagons ever be congruent?
Hexagons do tile the Euclidean plane perfectly. They are the largest of the three n-gons that do so.
That's not true when tiling the Earth though. You need 12 pentagons to close the shape on every zoom level, you can't tile the Earth with just hexagons. That's also why footballs stitch together pentagons and hexagons.