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Can regular polygons have any number of sides?

Updated: 8/17/2019
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No. They must have at least three sides of equal length, and all angles must be of equal measure.

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Q: Can regular polygons have any number of sides?
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Related questions

What regular polygons have parallel sides?

Any regular polygon with an even number of sides must have parallel sides.


Are any two regular polygons with the same number of sides similar?

Yes, regular polygons will have all sides equal length, and all angles the same. If two polygons of the same number of sides are 'regular' then those two polygons will be similar (they may be scaled, for example).


What is the number of polygon sides can be used for tesselations?

For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.


Which polygon does not tessellate and why?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.


What shapes don't have perpendicular diagnals?

Regular polygons whose number of sides are not even will not have any parallel sides, e.g. triangle, pentagon, heptagon.Irregular polygons of any number of sides may have no parallel sides (e.g. an irregular quadrilateral, known in the US as a trapezium).


Can a ploygon have more than 4 sides?

Yes. A polygon can have any number of sides over 2. There are regular polygons with any number of sides more than 2 as well. For example, stop signs are shaped as a regular octagon, a regular 8-sided polygon.


What is a flat closed surface that has congruent and parallel opposite sides?

That could be numerous polygons: a square, a regular hexagon, a regular octagon, a regular dodecagon ... Any regular polygon with an even number of sides could be your answer.


Which polygons are not similar?

Any two polygons with a different number of sides are not similar.


Is regular polygons also similar?

-- All regular (equilateral) triangles are similar. -- All squares are similar. -- All pentagons are similar. -- All hexagons are similar. . . . etc. Any regular polygon is similar to all other regular polygons with the same number of sides.


What shapes has equal sides?

Any regular shapes have equal sides, including squares and equilateral triangles. Irregular shapes can also have equal sides, but not equal angles.


What are two polygons other than a square and a rectangle whose reflections are identical to the original?

Any regular polygon with an even number of sides.


What is the maximum number of sides a polygon can have if each interior angle is obtuse?

Any number of sides of 5 and above because all interior angles of regular polygons in this category will have obtuse interior angles.