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

Now, you might not think that it's a huge deal if you only did it once, but imagine if you never bought another coloring book again? Over the course of a few years you could literally save hundreds of dollars, and that's something that everyone can appreciate. In fact , visual teachings are generally regarded as one of the most important factors that add a lot to a baby's early growth and development. With online printable coloring pages you never have to keep volumes of coloring books around.

You can find numerous such useful coloring webpages with alphabetical games that enable your kids not only to learn the alphabets, but also remember them and write them properly. Imaginations Run Wild: While decorating these pages, kids will often times experiment with various colors. The mind is the most delicate, most sensitive instrument in our body.