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number 6 coloring page

S6, with 720 elements, is the only finite symmetric group which has an outer automorphism. This automorphism allows us to construct a number of exceptional mathematical objects such as the S(5,6,12) Steiner system, the projective plane of orderĀ 4 and the Hoffman-Singleton graph. A closely related result is the following theorem: 6 is the only natural number n for which there is a construction of n isomorphic objects on an n-set A, invariant under all permutations of A, but not naturally in one-to-one correspondence with the elements of A. This can also be expressed category theoretically: consider the category whose objects are the n element sets and whose arrows are the bijections between the sets. This category has a non-trivial functor to itself only for n = 6.

number 6 coloring page

6 thoughts on “number 6 coloring page

  1. Coloring can be a really great method to relax.

  2. Hey very nice blog!

  3. Giving children books and pages to color is a highly effective way to help them become better artists and writers, to enable them to concentrate better, to reduce the likelihood that they will suffer from mental problems, and to teach them important life lessons and values.

  4. Download pages and color in a saddle, a chuck wagon, or a pair of cowboy boots and you’re just getting started.

  5. The internet has made many things easier for us, and this is one great example of this.

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