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number 6 printable 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 order 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.

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hello kitty princess coloring page

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Hello Kitty (Japanese: ハロー・キティ, Hepburn: Harō Kiti), also known by her full name Kitty White (キティ・ホワイト, Kiti Howaito), is a fictional character produced by the Japanese company Sanrio, created by Yuko Shimizu and currently designed by Yuko Yamaguchi. Sanrio depicts Hello Kitty as a female gijinka (anthropomorphization) of Japanese Bobtail with a red bow and, notably, no mouth. According to her backstory, she is a perpetual 3rd-grade student who lives outside London. Sanrio announced in 2018 that Hello Kitty’s birthday is 1 November. Since the cartoon character’s creation, Hello Kitty has become a media franchise including a product line, clothing apparel, toy-line, manga comics, anime series, popular music, and other media.

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fennec fox coloring page

The fennec has a life span of up to 14 years in captivity and about 10 years in the wild. Its main predators are the African varieties of eagle owl, jackals, and other large mammals. Families of fennecs dig out dens in the sand for habitation and protection, which can be as large as 120 m2 (1,292 sq ft) and adjoin the dens of other families. Precise population figures are not known but are estimated from the frequency of sightings; these indicate that the animal is currently not threatened by extinction. Knowledge of social interactions is limited to information gathered from captive animals. The species is usually assigned to the genus Vulpes; however, this is debated due to differences between the fennec fox and other fox species. The fennec’s fur is prized by the indigenous peoples of North Africa, and in some parts of the world, the animal is considered an exotic pet.

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