密鋪平面

A tessellated plane seen in street pavement.

密鋪平面（tessellation，tiling）即係用一集平面圖形填滿一塊平面，唔重疊亦無隙。唔止平面，有時亦可以用圖形鋪滿曲面或高維空間。M.C. Escher嘅藝術就有好多密鋪滿平面同雙曲面。密鋪滿平面亦有週期同非週期兩種。

參考

• Grunbaum, Branko and G. C. Shephard. Tilings and Patterns. New York: W. H. Freeman & Co., 1987. ISBN 0-7167-1193-1.
• Coxeter, H.S.M.. Regular Polytopes, Section IV : Tessellations and Honeycombs. Dover, 1973. ISBN 0-486-61480-8.

睇埋

• Convex uniform honeycomb - The 28 uniform 3-dimensional tessellations, a parallel construction to this plane set
• Honeycomb (geometry)
• Jig-saw puzzle
• List of uniform tilings
• Monohedral tiling
• Mosaic
• Penrose tilings
• Polyiamond - tilings with equilateral triangles
• Polyomino
• Quilting
• Self-replication
• Tile
• Tiling puzzle
• Tilings of regular polygons
• Aperiodic tiling
• Triangulation (advanced geometry)
• Trianglepoint - needlepoint with polyiamonds (equilateral triangles)
• Uniform tessellation
• Voronoi tessellation
• Wallpaper group - seventeen types of two-dimensional repetitive patterns
• Wang tiles

出面網頁

• K-12 Tessellation Lesson
• Tessellation Artist from Math Is Fun
• 2D Puzzles generated using a tessellation of the plane
• Math Forum Tessellation Tutorials - make your own
• Mathematical Art of M. C. Escher - tessellations in art
• The 14 Different Types of Convex Pentagons that Tile the Plane
• Tiling Plane & Fancy at Southern Polytechnic State University
• Grotesque Geometry, Andrew Crompton
• Tessellations.org - many examples and do it yourself tutorials
• Minesweeper Variants - A Minesweeper game using different tessellation patterns
• Semiregular pattern - This pattern can describe a collapsing cylinder
• Hyperbolic Tessellations, David E. Joyce, Clark University