Plz help ... i wanna know the answer !!!

[Abby-1991]

I searched for an answer everywhere ..

1-what shape has two points of symmetry ?!
2-why can't a letter of the alphabet have two points of symmetry ?

thx..

 

[Abby-1991]

:s

I saw that site while searching, and it doesn't answer my question ..
i asked if a shape is symmetric around two points :s

And i want to make sure i undersatnd something :
a circle is symmetric around it's center ,and if i choose any point in the plane it will be symmetric around it..
that means it's symmetric around two points ,right?

 

[galactus]

A rectangle has two lines of symmetry. You can draw a line down the center or across the center and fold it over.


As for the alphabet, I would suppose it may have something to do with which ones can be written without lifting the pencil or retracing.

For instance, A can not be written without lifting or retracing. But, say, B can be written without lifting or retracing.

 

[soroban]

Hello, Abby-1991!

1. What shape has two points of symmetry?

I don't understand "two points of symmetry".

We can have two or more lines of symmetry.

A rectangle has two lines of symmetry.

                :
                :
        *-------+-------*
        |       :       |
    - - + - - - : - - - + - -
        |       :       |
        *-------+-------*
                :
                :

A shape can have one-point symmetry.

[SIZE=2].      *
.     *  *
.    *     *
.   *        *[/SIZE]
[SIZE=2].  *  *  *  *  ♠  *  *  *  *
.                *        *
.                  *     *
.                    *  *[/SIZE]
[SIZE=2].                      *[/SIZE]

Can someone explain?

2. Why can't a letter of the alphabet have two points of symmetry?

I did a search for two-point symmetry.

I found this cryptic fact:
. . The only letters of the alphabet with two-point symmetry are \(\displaystyle O\) and \(\displaystyle H.\)

Is a puzzlement!

 

[lookagain]

I found this cryptic fact:

. . The only letters of the alphabet with two-point symmetry are \(\displaystyle O\) and \(\displaystyle H.\)

If the letter "O" is considered as an ellipse that is not a circle,
then it has exactly two lines of symmetry.


However, if the letter "O" is considered as a circle,
then it has an unlimited number of symmetries.