give me a example of exhibit point symmetry?
87418
Any object which you can turn upside down and it looks exactly the same as before you turned it has point symmetry. The order of point symmetry deends on how many different types of simultaneous rotations result in an identical figure. For example, any figure that can be turned about a point 180 degrees and land on an image of itself is said to have point symmetry and rotational symmetry of order 2. A 2 dimensional image of a soccer ball has point symmetry for example.
414419
http://www.math.niu.edu/~beachy/aaol/frames_index.html
729152
Try  this site it looks good!\n\nhttp://www.dositey.com/mathk2.htm
985288
if linear or quadratic (or even) it (Pn) would be symmetric.
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is symmetric if the figures are the same!
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ok, lets make this simple.\n\nIf a shape can be folded over itself and cover itself exactly, the article is said to be symmetrical and the "fold line" is said to be an axis of symmetry.\n\nA square is a symmetrical shape with 4 axis of symmetry, the two diagnals and one line drawn across it half way up, one line drawn down through it, half way across it.\n\nA circle has an infinate nubber of axis of symmetry, each one being a diameter.\n\nOne way to look at this axis is to think of it as a mirror placed on a plain geometrical shape, the reflection is the other half of the shape.
703255
hectic question, this ain't maths homework is it?\n\nA regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a total of 48 symmetries including transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the dual of an octahedron.\n\nThe group of orientation-preserving symmetries is S4, or the group of permutations of four objects, since there is exactly one such symmetry for each permutation of the four pairs of opposite sides of the octehedron.\n\nloads more info. on the link below.
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Good Question, Mandelbrot's book and Barnsley's book will provide you with many examples.
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See if this article has a diagram\n\nhttp://jchemed.chem.wisc.edu/Journal/Issues/1999/Apr/abs542.html
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circles on the same axis. concentric.
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How about making yourself a model, finding its point group then working out the reducible representation?
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Most of you I think misinterpretd the question(or maybe it was me), but I understood this:\n"is that function odd or even (referring to symmetry)?"\nWell if that is the question, do this:\nF(x) is even (symmetyric with respect to the y-axis) if F(-x)=F(x)\nF(x) is odd (symmetric with respect to the origin) if F(-x)= -F(x)\nThe function does have symmetry if it doesn't fill the above situations.\n\nIn this case by simple substitution the function is not symmetric at all.\n\nNOTE: There is a third type of symmetry for relations (not functions!) which is with respect to the x-axis.
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can you give examples (such as the witches equation)
860857
Just search for 'moment of inertia'.  There are plenty of tables that show a square beam.  If it is offset, you can use the parallel axis theorem.
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Here are two (see refs.). Note that the second one is a rotating 3-D model.
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You might find this paper useful\nhttp://arxiv.org/abs/math-ph/0106027
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Rotational symmetry: if something is rotated a fixed set of degrees about an axis, and it remains the same, its called rotational symmetry. eg, circle rotated about its center.\n\nLine Symmetry: If an object is symmetrical about any given axis. eg, diagonal of a square.\n\nCongruence: Implies exact match. Two toyota cars can be thought to be congruent.\n\nSimilarity: Implies the angles at the vertices match, but dimensions don't match. eg an equilateral triangle of area 1cm^2 and 100cm^2 are similar, not congruent.