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It has three [[order-7 triangular tiling]] {3,7} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an [[heptagonal tiling]] [[vertex figure]].
{| class=wikitable width=
|[[File:Hyperbolic honeycomb 3-7-3 poincare.png|
|[[File:H3_373_UHS_plane_at_infinity.png|
|[[File:Order-7-3 triangular honeycomb UHS.png|280px]]<BR>Upper half space model
|}
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