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  2. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

    en.wikipedia.org/wiki/Lists_of_uniform_tilings...

    There are 4 symmetry classes of reflection on the sphere, and three in the Euclidean plane. A few of the infinitely many such patterns in the hyperbolic plane are also listed. (Increasing any of the numbers defining a hyperbolic or Euclidean tiling makes another hyperbolic tiling.) Point groups:

  3. Symmetry in mathematics - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_mathematics

    Let f(x) be a real-valued function of a real variable, then f is even if the following equation holds for all x and -x in the domain of f: = Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis

  4. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    They are named for the parity of the powers of the power functions which satisfy each condition: the function () = is even if n is an even integer, and it is odd if n is an odd integer. Even functions are those real functions whose graph is self-symmetric with respect to the y -axis, and odd functions are those whose graph is self-symmetric ...

  5. Symmetry operation - Wikipedia

    en.wikipedia.org/wiki/Symmetry_operation

    In mathematics, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, a 1 ⁄ 3 turn rotation of a regular triangle about its center, a reflection of a square across its diagonal, a translation of the Euclidean plane, or a point reflection of a sphere through its center are all symmetry operations.

  6. Man who killed half-brother in drunken row jailed - AOL

    www.aol.com/man-killed-half-brother-drunken...

    A man who admitted killing his half-brother in a drunken confrontation on a street has been jailed for five years. Kyan McWhir, 31, fatally punched 52-year-old father-of-two John McWhir on Crown ...

  7. Reflection formula - Wikipedia

    en.wikipedia.org/wiki/Reflection_formula

    In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional equation . It is common in mathematical literature to use the term "functional equation" for what are specifically reflection formulae.

  8. US govt wants half of its $20 billion loan to Ukraine to be ...

    www.aol.com/news/us-govt-wants-half-20-164120000...

    WASHINGTON (Reuters) -The Biden administration is trying to provide Ukraine with $10 billion in military aid as part of its $20 billion commitment to the country under a $50 billion loan ...

  9. 5 of the McCallister Kids From “Home Alone” Reunite For the ...

    www.aol.com/lifestyle/5-mccallister-kids-home...

    Though legions of fans might revisit 1990’s Home Alone (and 1992’s Home Alone 2: Lost in New York) every year, the fictional McCallister kids haven’t gotten back together in thirty years ...