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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-7-3 triangular honeycomb''' is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,7,5}. It has five [[order-7 triangular tiling]], {3,7}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-7 triangular tilings existing around each vertex in an ''order-5 heptagonal tiling'' [[vertex
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