Math Investigation of Painted Cubes

A summary of mathematical research on painted cubes ============ We briefly examine the number of faces of a cube and measure 20 small cubes and 20 small cubes (20 x 20) 20) To do this, you need to imagine a very large cube whose outer surface is painted red. Once dry, cut the large cube into all 8,000 small cubes. From that point, I had to answer this question: "Small squares without red faces, two red faces, and three faces?" From this, it is necessary to find a formula think. The number of different faces on the cube of size 'nxnx n'.

As a child, when I was an adult, I hate mathematics and related things. But mathematics is irrelevant, so I like art. I am very saddened by the latest discoveries of this painting and many other beautiful arts I truly love. There are few people who guessed the reason. My discovery of this famous picture says that mathematics is even related to art! The Golden Ratio is a mathematical ratio. The basic geometry using rectangles and squares can better explain. Consider a large rectangle consisting of a square whose side length is equal to the shortest length of the rectangle and a smaller rectangle. Removing a rectangle from a rectangle leaves another smaller rectangle that may remain infinitely small. However, the approximate ratio is 1: 1.618.

This has been intentionally operated This is important in all grade. Hillary learned that the cube of mathematics is useful, let the students express the numbers in the question, then manipulated the cube and got the answer. When teaching with a negative concept she used the cube and the terms "hot" and "cold" numbers. Students use "hot" or red cubes as positive numbers and blue cubes as "cold" or negative numbers. If the student lists the number of hot cubes and cold cubes, you can easily see if the answer is positive or negative, and whether the color cube is the most numerous. The problem like -2 + 1 = -1 is as follows. After that, the student deletes the red and blue cube pair until it can not delete the block. The remaining blocks represent answers

It was used to cut eight cubes of two 10 mm 3, two 20 mm 3, two 30 mm 3 and two 40 mm 3 sizes. Cut each potato piece so that no skin will remain on either side of the cube. Place each size cube in the beaker so that they do not touch each other or the sides of the beaker. Set the timer to 30 minutes and the time begins when the beaker is filled with enough potassium permanganate to completely cover the potato pieces. Put potato pieces on another piece every 5 minutes