Content deleted Content added
No edit summary |
|||
Line 68:
It has four [[order-8 triangular tiling]]s, {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an [[order-4 hexagonal tiling]] [[vertex arrangement]].
{| class=wikitable
|[[File:Hyperbolic honeycomb 3-8-4 poincare.png|240px]]<BR>[[Poincaré disk model]]
<!--|[[File:H3_384_UHS_plane_at_infinity.png|240px]]<BR>Ideal surface-->
Line 135:
In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-8-6 triangular honeycomb''' (or '''3,8,6 honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,8,6}. It has infinitely many [[order-8 triangular tiling]], {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an ''order-6 octagonal tiling'', {8,6}, [[vertex figure]].
{| class=wikitable
|[[File:Hyperbolic honeycomb 3-8-6 poincare.png|240px]]<BR>[[Poincaré disk model]]
<!--|[[File:H3_386_UHS_plane_at_infinity.png|240px]]<BR>Ideal surface-->
Line 167:
In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-8-infinite triangular honeycomb''' (or '''3,8,∞ honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,8,∞}. It has infinitely many [[order-8 triangular tiling]], {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an ''infinite-order octagonal tiling'', {8,∞}, [[vertex figure]].
{| class=wikitable
|[[File:Hyperbolic honeycomb 3-8-i poincare.png|240px]]<BR>[[Poincaré disk model]]
<!--|[[File:H3_38i_UHS_plane_at_infinity.png|240px]]<BR>Ideal surface-->
| |||