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Tile
A tile is a small, manufactured piece of hard-wearing material such as clay or stone used for covering roofs, floors and walls. Other similar objects, such as rectangular counters for playing games, are also called tiles (see tile-based game).
Roof tiles
Roof tiles are designed mainly to keep out rain, and are traditionally made from locally available materials such as clay, slate and wood (wooden tiles are called shingles). Modern materials such as concrete and plastic are also used. Some clay tiles have a waterproof glaze.
Because of their long history, a large number of shapes (or 'profiles') of roof tiles have evolved. These include:
- Flat tiles - the simplest type, which are laid in regular overlapping rows. This profile is suitable for stone and wooden tiles, and most recently, solar cells.
- Roman tiles - flat in the middle, with a concave curve at one end at a convex curve at the other, to allow interlocking.
- Pantiles - with an S-shaped profile, allowing adjacent tiles to interlock. These result in a ridged pattern resembling a ploughed field.
- Mission or barrel tiles - semi-cylindrical tiles made by forming clay around a log. Laid in alternating columns of convex and concave tiles.
Floor tiles
These are made of stone or clay. Clay tiles may be painted and glazed. Small tiles may be laid in patterns to form mosaics.
Mathematics of tiling
Certain shapes of tiles, most obviously rectangles, can be replicated to cover a surface with no gaps. These shapes are said to tessellate (from the Latin tessera, 'tile').
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Spectrangle
Collect as many points as possible. The points are received by multiplying the valuse of the triangle (where you put the tile) by the value of the tile and by the number of sides where there already is a tile placed.
http://globetrotter.crosswinds.net/index.htm?E&game/eSpectr.htm
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