Hexagonal tiling

In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the hexagonal tiling or hexagonal tessellation is a <a href="/facts/Regular_tiling/tR5CQACy">regular tiling</a> of the <a href="/facts/Euclidean_plane/tAUtRFcn">Euclidean plane</a>, in which exactly three <a href="/facts/Hexagon/DPzuCzWE">hexagons</a> meet at each vertex. It has <a href="/facts/Schl%C3%A4fli_symbol/jNQR77UU">Schläfli symbol</a> of {6,3} or t{3,6} (as a <a href="/facts/Truncation_(geometry)/DYb589Je">truncated</a> triangular tiling).
English mathematician <a href="/facts/John_Horton_Conway/g3PA1zoK">John Conway</a> called it a hextille.
The <a href="/facts/Internal_angle/jd78Qkbt">internal angle</a> of the hexagon is 120 degrees, so three hexagons at a point make a full 360 degrees. It is one of <a href="/facts/List_of_regular_polytopes/Kng25Ymq">three regular tilings of the plane</a>. The other two are the <a href="/facts/Triangular_tiling/Jx8f8Krh">triangular tiling</a> and the <a href="/facts/Square_tiling/3ym86mvv">square tiling</a>.

Hexagonal tiling open-in-new

Hexagonal tiling