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== == Originally, tessellation described the process of making mosaics. The Latin ''tessella'' is a small piece of clay, stone, or glass used to make mosaics. Many mathematical problems require covering large areas with small shapes with no gaps. The computer-aided engineering (CAD) tool called finite element analysis (FEA) also requires "tesselation" (also called "meshing") -- dividing large, complex shapes into smaller, easy-to-analyze shapes. Many artists and mathematicians are fascinated by the problem of covering large areas with no gaps, using one repeating identical shape or a few repeating shapes. There are exactly 17 such wallpaper groups, including the 3 regular tilings. Fitting together identical shapes. For example a hexagon tessallates.
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Can a cone tessellate?
No cones can not tessellate.
Will a square and a circle tessellate?
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
Can a star tessellate?
Yes * * * * * No. A star will not tessellate.
Does a diamond tessellate?
yes... this figure does tessellate
Can a regular octagon tessellate?
No, it can't be tessellate.
Is Tessellate a verb?
Tessellate is a verb. You were correct
Can semicircles tessellate?
yes * * * * * No, they do not tessellate.
Does a quadrillateral tessellate?
Yes a quadrilateral will tessellate.
Can the octagon tessellate?
No, but an octagon and a square can tessellate.
Can a dodecagon tessellate?
No, there is no polygon with 7 or more sides can tessellate.
Do octagons tessellate?
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
Do all shapes tessellate?
No not all shapes tessellate.
