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.
Now, everyone is always concerned about time, namely, having too little time. Too many things take up too much time. Errands take time, laundry takes time, meals take time. Add a child or two into the mix and time is of even greater importance. As Benjamin Franklin said, "Lost time is never found again." However, I would have to disagree with Mr. Franklin because of one crucial reason; Benjamin Franklin did not have the Internet. Since I don't believe this quote to be true, the question must be asked; how do I propose we win back our lost time? As far as I'm concerned, it is in this realm of free colouring pages that save the day.
A well-categorized coloring site is a great resource for teachers and parents, as well as for kids themselves. And the best sites have preformatted the pictures for easy printing. My favorite coloring site features two different kinds of coloring. First, there's the click-to-color pages, where very young children click on the color they want, then click on the part of the picture where they want to apply the color. This site features some 140 animals images that can be colored in this manner.
Remember when you were a child, lying on your tummy on the floor, coloring book open, crayon in hand with the other crayons spilling out of the box? Can you remember the sense of peace and enjoyment you felt while you were coloring? Why not consider revisiting this favorite childhood pastime to help during those times when you find yourself feeling on edge.
Free coloring pages online are actually a chance of showing your kids that there is a world waiting for them. This idea even works well into a pinch. If you have a number of kids and there is only one who are fond with printable coloring pages, then it would be very simple for you to look out for free coloring pages around the internet.
Happy feet coloring pages