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Regular polygons: Equilateral triangles, squares, rectangles, rhombi, hexagons. Irregular polygons: Isosceles triangles and symmetric trapeziums (isosceles triangles with the odd angle cut off by a line parallel to the base) will do if they are alternating up and down. There are also many irregular shapes. MC Escher (see for example, http:/www.mcescher.com/Gallery/gallery-symmetry.htm) used repeated irregular shapes to tessellate. Although some of these have curved sides, they can be replaced by appropriate straight sides to produce polygons which will do the trick.
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Which other regular polygon will a regular heptagon tessellate with?
There is no such polygon.
Will a 10 sided polygon tessellate?
no no
Does a dodecagon tessellate?
Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.
Do nonagons tessellate?
yes * * * * * Wrong! A nonagon, regular or not, will not tessellate. In fact, no polygon with 7 or more sides will tessellate.
Which polygons tessellate with other shapes?
For any polygon, there will be other shapes such that, together, they can tessellate.
