Why is geometry called dry and cold? Maybe because she can't describe the beautiful shape of clouds, trees or mountains? But mathematics is all permeated with harmony and beauty, you just need to be able to see this beauty. Take fractals for example. They fascinate with their mystery and beauty.
Instructions
Step 1
Fractal - the word came to us from the Latin language fractus, it means crushed, broken, broken. A fractal is a complex geometric shape made up of many parts, each small part being a copy of a large part.
Many natural objects have fractal properties, for example, a snowflake, clouds, coasts, tree crowns, the circulatory system, etc. Fractals (especially on a plane) have become popular thanks to computer graphics. But the construction of fractals is based on simple geometric shapes and an understandable method. Fractals can even be made at home. For example, a fractal named after its inventor: the triangle and the Sierpinski carpet.
Step 2
To do this, you need dexterous hands and plastic material: clay, plasticine, plastic. Make an elongated pyramid out of plastic, clay, or plasticine in two colors. When sculpting, observe proportions, sizes, more often use a ruler. Make three elongated pyramids from blue plastic and one from white.
Step 3
Connect them together to form a large pyramid (denote it with the letter a). Blind three pyramids a. Then from the white plastic again make a pyramid equal to the pyramid a. Connect all four pyramids into one large pyramid. That's the whole principle of building a fractal. It is built around repeating the same operations.
Step 4
Then cut the resulting part into plates and you can already make different patterns from them. If you used plastic for sculpting, then you can make earrings, pendant, necklace, beads from the received parts.
Step 5
The Sierpinski carpet is made in a similar way, but instead of the pyramids, a parallelepiped is used.
Fractals are very common in computer graphics. Very beautiful images can be built using special programs. Currently, fractal posters are used to decorate interiors.
