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the title explains it all. how many sides does a dot have. for example a triangle has 3 sides. I know that circle has infinite sides. Is it true for dot (.) as well?

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By your logic, I’d say a dot as zero sides, but let me tell you that I find your logic flawed. What do you consider a side? (That’s how most mathematician view it.) –  k.stm Apr 3 '14 at 9:46
@AhmmadIsmail: What is "the book" you speak about? –  Henning Makholm Apr 3 '14 at 10:09
Before you can answer this question, you need to define the term "side". It has no standard definition for objects like points or circles. (And I think most mathematicians would object to the statement "a circle has infinitely many sides" because the term "side" has not been defined.) –  littleO Apr 3 '14 at 10:17
@littleO: JDH's anecdote here seems to suggest that it is predominantly mathematicians who're inclined to claim a circle has infinity sides. –  Henning Makholm Apr 3 '14 at 10:29
@AhmmadIsmail a square can also be expressed as a limit of polygons with increasing number of sides, but we agree that it has only 4 of them. So one curve being the limit of other curves doesn't justify the number of sides. Without a definition of a side there's really nothing to work with. –  Adam Apr 3 '14 at 11:49

3 Answers 3

up vote 5 down vote accepted

A "dot" on my monitor appears to be a square comprised of four pixels. Therefore, a dot has four sides.

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good suggestion but a dot is not always about pixels. –  Ahmmad Ismail Apr 3 '14 at 10:42

A dot as in a little circle has infinite sides as well. A dot as in a point in space has none sides, I think

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@Mathisa711 sir can you please give me a reference –  Ahmmad Ismail Apr 3 '14 at 9:49
From wikipedia: "In geometry, an edge is a line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.". Because a point in space is infinitely small, there is no line segment. Therefor, I does not have any sides. –  Mathias711 Apr 3 '14 at 9:51
Thanks you sir, the reference is very important for me –  Ahmmad Ismail Apr 3 '14 at 9:52
You better reference to the reference of wikipedia, not wikipedia itself. But you would figure that out, I believe –  Mathias711 Apr 3 '14 at 9:53
A side is a 1-dimensional object. And a dot is a zero-dimensional object. So this question does not make sense much. –  P Vanchinathan Apr 3 '14 at 9:56

If I recall correctly Euclid's Elements states that a point is that which has no part.

Therefore, something that has no part can have no sides.

Also note a point is considered 0-dimensional.

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