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Regular hexagon or equilateral triangle grid/lattice.
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R6 E2r web of stars (large) R6 E2r x3 (thick) R6 S thin R6 V2 stars and squares R6 E2r x3 (thin outline) R6 V2 pyramids among the stars impossible triangles 6 circle-arc triangles R6X Ri R6 E2r web of stars (tiny) R6 S thick R6X V1 R6X V1i R6 E2r web of stars (inverse) R6X E1i R6X E1 R6X R 4 circle-arc triangles R6 E2r web of stars (seasonal) stripy cubes R6X C = R3X V R6 E1+V x3 R6X V x3 R6 V2i outlined stars and squares mad triangles R6X Ci = R3X Vi