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A circle, rotated through an angle measuring any real value in the interval [0, 360 degrees) or [0, 2*pi radians) and remain symmetrical. The order of symmetries is therefore the continuum, C - a number that is uncountably infinite (as opposed to countably infinite). No other 2-dimensional shape can match that.
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The perimeter of a circle measured from the centre is the same length no matter where the measurement is taken.
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What 2 dimensional shape has the most lines of symmetry?
A circle or annulus. Each of its infinite number of diameters is an axis of symmetry. Plus there is the line through its centre and perpendicular to the plane of the circle.
Does the letter O have infinite rotational symmetry?
Yup, assuming it's a perfect circle. I guess it kind of depends on the font, though...but for the most part, yes.
What geometric shape will have the most lines of symmetry?
A circle is symmetric about ANY diameter. The number of possible diameters of the same circle is infinite. And on the same principle, a sphere will have lines of symmetry in every direction in 3 dimensions.
What figure has the most lines of symmetry?
circle
What regular plane figure has the most lines of symmetry?
A circle
