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The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.
That leaves regular polygons with 3, 4 or 6 sides.
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What are the three regular polygons that are tessellate?
Equilateral triangles, squares, and hexagons.
You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
What regular polygons can be tessellated?
In a normal plane, only regular polygons with interior angles that are a factor of 360o can be tessellated. This means only three shapes: the regular (equilateral) triangle, the regular quadrilateral (square) and the regular hexagon. If the line were considered a regular polygon (with only two sides) then it would also be included in this list.
There are only three regular polygons which can make a regular tessellation?
True...
There are only three regular polygons that can make a regular tessellation?
True Apex
