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.
Paints in powdered form require the addition of a liquid to prepare them for use. The manufacturer's directions as to the amount of oil, varnish, water, or other vehicle required should be followed. You will need any of these tools in painting your exterior: caulk, sandpaper, rags and/or paper towels, painter's tape, garden hose, power washer, or hose brush attachment, sponges & buckets for wash water, spray nozzle, stepladder, extension ladder, paint scraper, wire brush, putty knives, heat gun, rotary paint removing tool and electric drill, caulk gun, sanding block, and work gloves. OK, let's get started. Step one...supplies. You need a flat brush, a fan, a small detail brush and a couple of Filberts. A filbert is a rounded edge brush that lets you maneuver the paint easily without going outside the edges. Ultimately buy brushes that you like though, and make them work. Fans allow you to blend, for example. I use fans a lot and it's how I graduate color throughout my images. Everything I paint is by hand....no airbrushing or assistants. I want it to be an expression of me and nobody else. You also need an oil painting medium to mix with the oil paint to make it more fluid, and to speed or slow the drying process. Whichever you prefer. Go to the art store and don't be afraid to ask for help....they'll love helping you! A medium is merely an additive liquid which increases gloss, makes it flow easily, preserves the finish over time, keeps it from yellowing. I personally love Galkyd and Galkyd Lite. If that isn't available, buy a medium that looks like liquid amber and is kind of thick. Don't buy watery looking mediums....too hard to work with.
Cheaper then doing it yourself. Some would argue that if you're going to all the trouble to fully prep the car yourself, then why not just shoot the paint as well? Why get a shop involved? The answer is simply that you'll get a better job and for less money. Some would argue with this, but the fact is that if you've never sprayed a car before then your first car will have a steep, and expensive learning curve. Laying down an even, consistent coat of paint takes considerable practice. Also, paint and equipment is not cheap. You'll need to buy primer, color coat, clear coat, reducers & catalysts. None of these are inexpensive and you can easily spend as much in paint materials alone as the cheapest paint job at Maaco or similar shop. When you are including the finishing touches on a area with accessories, make sure that you remember this one important thing.. It is important to know which color is dominant. Do you desire for things to stay that way? Now highlight the main color with your accessories. Using accessories like paintings, throw pillows and baskets in bolder colors can help detract attention from other parts of the room. Selecting a Shop. You should always get quotes from at least 2-3 different shops near you. This will give you a chance to not only compare prices, but to also check out the quality of work each shop has done. Ask to see cars they've just painted. Look for orange peel or excessive overspray. Do they mostly do insurance work or do they paint entire cars also? What types of cars are they working on? A shop that sprays nothing but old beaters probably doesn't inspire as much confidence as one that does insurance work for the local Lexus or Mercedes dealer. So how does a paint company accomplish this color hypnosis of potential customers? Well, it starts with the sample card. Have you ever noticed how the brightest, most saturated color sample cards are always the first row you see in a paint display? Well you guessed it... paint companies are playing with a loaded deck (of sample cards, that is)!