2. Some informations about snowflakes A snowflake is just a bunch of snow crystals stuck together, but it's amazing how beautiful it looks. Every snowflake is hexagonal and each is virtually unique (although theoretically, it seems possible to create identical ones), because snow crystal bonding is affected by differences in dozens of atmospheric conditions (i.e. humidity, temperature, and air pressure, to name just a few). This application is a simulation of the creation of snowflakes. The differences in atmospheric conditions are represented by the assortment of different rules that can be used to bond the next set of crystals. A snowflake is just a bunch of snow crystals stuck together, but it's amazing how beautiful it looks. Every snowflake is hexagonal and each is virtually unique (although theoretically, it seems possible to create identical ones), because snow crystal bonding is affected by differences in dozens of atmospheric conditions (i.e. humidity, temperature, and air pressure, to name just a few). This application is a simulation of the creation of snowflakes. The differences in atmospheric conditions are represented by the assortment of different rules that can be used to bond the next set of crystals.

3. History Wilson A. Bentley – „The snowflake Man”

4. From the earliest memories of our childhood, many of us can remember hearing the phrase "no two snowflakes are alike". This discovery was made in the small rural town of Jericho, Vermont by Wilson A. Bentley (1865-1931). A self educated farmer, Bentley attracted world attention with his pioneering work in the area of photomicrography, most notably his extensive work with snow crystals (commonly known as snowflakes). By adapting a microscope to a bellows camera, and years of trial and error, he became the first person to photograph a single snow crystal in 1885. He would go on to capture more than 5000 snowflakes during his lifetime, not finding any two alike. His snow crystal photomicrographs were acquired by colleges and universities throughout the world and he published many articles for magazines and journals including, Scientific American and National Geographic. In 1931 his book "Snow Crystals", containing more than 2400 snow crystal images, was published by McGraw-Hill but has long been out of print. A soft cover copy, identical in all respects, can be obtained today from Dover Publications, Inc.. On December 23, 1931, Bentley died at the family farmhouse in Jericho. Because of his wonderful work with snow crystals, he became affectionately known as "Snowflake„ Bentley. 1 8 6 5 1 9 3 1 1 8 8 5 1 5 5 0 1 6 1 1 1 9 3 6

5. Snowflake in Mathematic The snowflake curve is connected in the sense that it does not have any breaks or gaps in it. But it's not smooth (jagged, even), because it has an infinite number of sharp corners in it that are packed together more closely than pebbles on a beach. The snowflake curve is connected in the sense that it does not have any breaks or gaps in it. But it's not smooth (jagged, even), because it has an infinite number of sharp corners in it that are packed together more closely than pebbles on a beach. The snowflake never escapes the dashed square you see in figures 1-4, so it encloses a finite amount of area no larger than a credit card. On the other hand, at each step building the new little triangles adds more than one unit of length to the curve. To be precise, [4 ÷ 3]n - 1 units are added at the nth step, so the length of the snowflake is larger than The snowflake never escapes the dashed square you see in figures 1-4, so it encloses a finite amount of area no larger than a credit card. On the other hand, at each step building the new little triangles adds more than one unit of length to the curve. To be precise, [4 ÷ 3]n - 1 units are added at the nth step, so the length of the snowflake is larger than 3 + 1 + 1 + 1 + 1 + 1 +... = infinity. The snowflake curve is infinitely long, yet it would fit in your wallet! 3 + 1 + 1 + 1 + 1 + 1 +... = infinity. The snowflake curve is infinitely long, yet it would fit in your wallet! Under a magnifying glass, a little piece of the snowflake looks identical to a larger, unmagnified chunk. Objects that exhibit this kind of self-similarity are called FRACTALS and are of great research and applied interest in modern science and mathematics. Under a magnifying glass, a little piece of the snowflake looks identical to a larger, unmagnified chunk. Objects that exhibit this kind of self-similarity are called FRACTALS and are of great research and applied interest in modern science and mathematics. + - : x

6. Pivot of symmetry It is another characteristic of the snowflake that makes it so unique and beautiful. Take a moment to look at example of snowflake. Can you cut it in half and are both sides the same? Yes! When you observe snowflakes you notice that they are symmetrical. All snowflakes have 6 lines of symmetry. It is another characteristic of the snowflake that makes it so unique and beautiful. Take a moment to look at example of snowflake. Can you cut it in half and are both sides the same? Yes! When you observe snowflakes you notice that they are symmetrical. All snowflakes have 6 lines of symmetry.

7. Types of Snowflakes No Two Snowflakes Look The Same. There are a few reasons that no two snowflakes look the same. One thing that influences the size and shape of a snowflake are temperature changes: 30 degrees Fahrenheit (-1 degrees Celsius) - Snowflakes usually look like columns. 3 to 10 degrees Fahrenheit (-16 to -12 degrees Celsius) - Snowflakes are usually shaped like a star. 10 to 18 degrees Fahrenheit (-12 to -7 degrees Celsius) - Snowflakes are usually shaped like a plate. 18 to 23 degrees Fahrenheit (-7 to -5 degrees Celsius) – Snowflakes are usually look like columns appear again. 23 to 27 degrees Fahrenheit (-5 to -2 degrees Celsius) – Snowflakes are usually form a needle shape. What Else Affects a Snowflakes Shape? Dirt also changes the appearance of a snowflake. If a snow crystal spins like a top as it falls, it will usually be symmetrical when it hits the ground. If a snow crystal falls sideways, then it will end up lopsided.

8. Examples...

9. Some interesting details about Snowflakes Links: http://snowflakes.lookandfel.com/ http://snowflakes.lookandfel.com/ http://snowflakes.lookandfel.com/ You can use this program for make your own snowflake by internet. http://highhopes.com/snowflakes.html http://highhopes.com/snowflakes.html http://highhopes.com/snowflakes.html In that program you can learn how make paper snowflake by yourself. You must remember that paper snowflakes could be beautyful decoration in Christmas on your Christmas tree!!! Made by Rafał Kotuła & Klaudia Damek from high school R. Schuman. POLAND