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  2. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    An object having symmetry group D n, D nh, or D nd has rotation group D n. An object having a polyhedral symmetry (T, T d, T h, O, O h, I or I h) has as its rotation group the corresponding one without a subscript: T, O or I. The rotation group of an object is equal to its full symmetry group if and only if the object is chiral. In other words ...

  3. Rotation formalisms in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_formalisms_in...

    Rotation formalisms are focused on proper (orientation-preserving) motions of the Euclidean space with one fixed point, that a rotation refers to.Although physical motions with a fixed point are an important case (such as ones described in the center-of-mass frame, or motions of a joint), this approach creates a knowledge about all motions.

  4. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    Noticing that there are 8 corners and 12 edges, and that all the rotation groups are abelian, gives the above structure. Cube permutations, C p, is a little more complicated. It has the following two disjoint normal subgroups: the group of even permutations on the corners A 8 and the group of even permutations on the edges A 12. Complementary ...

  5. Ranking the Yankees' in-house rotation replacement candidates

    www.aol.com/ranking-yankees-house-rotation...

    With Gerrit Cole about to begin the year on the injured list (elbow), the Yankees will be sorting through their rotation depth sooner than later. Ranking the Yankees' in-house rotation replacement ...

  6. This easy-to-make Ina Garten cookie recipe has been on ... - AOL

    www.aol.com/news/easy-ina-garten-cookie-recipe...

    Once the butter and eggs are at room temperature, I mix the wet ingredients and sugars together with a stand mixer. I beat the butter, brown sugar, and white sugar for a few minutes until light ...

  7. Volkswagen to recall over 114,000 US vehicles over airbag ...

    www.aol.com/news/volkswagen-recall-over-114-000...

    The recall consists of some Beetle and Passat vehicles from model years 2006-2019. "The driver's side frontal airbag inflator may explode due to propellant degradation occurring after long-term ...

  8. 3D rotation group - Wikipedia

    en.wikipedia.org/wiki/3D_rotation_group

    In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space under the operation of composition. [ 1 ] By definition, a rotation about the origin is a transformation that preserves the origin, Euclidean distance (so it is an isometry ), and orientation ...

  9. Nigerian man promised pardon after 10 years on death row for ...

    www.aol.com/news/nigerian-man-promised-pardon-10...

    A Nigerian man who has spent 10 years on death row for stealing some hens and eggs has been promised a pardon by the governor of the south-western Osun state.