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Can a regular pentagon be used as the basic shape in a tesselation?
No.
How are hexagons used?
they are used by bees, its the only structure they use
What shape can be used to create a regular tessellation?
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
What is the strongest geometric shape used in construction?
Triangles and octet-trusses are used alot in bridges become they hold their shape well when subject to a variety of stresses. However hexagons and lorimerlite frameworks are used in different conditions, where they must resist only compression as opposed to a variety of stresses. Also the straight line is the best geometry for resisting tension, hence the use of steel cables.
Which figure can not be used as a tessellation a square or a triangle or a pentagon or a hexagon?
All of them can be used.Any triangle or quadrilateral will tessellate. There are 15 classes of irregular convex pentagons which will tessellate. Regular hexagons and 32 classes of irregular convex hexagons will tessellate. There are also concave pentagonal and hexagonal shapes which will tessellate.
