If you create 3 more copies of the sequence above so that you have 4, and tape them together, you can create a 3-dimensional pyrmaid similar to the one shown below. There is face that you do not see, in the back.
Pascale's Triangle is an interesting mathematical construction. It is based on a mathematical sequence of numbers, and it was created by a mathematician by the name of Blaise Pascal. "He was a French mathematician, physicist, and religious philosopher. He was a mathematician of the first order. Pascal helped create two major new areas of research. He wrote a significant treatise on the subject of projective geometry at the age of sixteen and corresponded with Pierre de Fermat from 1654 and later on probability theory, strongly influencing the development of modern economics and social science." From Wikipidea, the free encyclopedia, at http://en.wikipedia.org/wiki/Blaise_Pascal
"In 1653, Pascal wrote his Traité du triangle arithmétique ("Treatment of the Arithmetical Triangle") in which he described a convenient tabular presentation for binomial coefficients, now called Pascal's triangle.
The first few lines of the sequence is shown below:
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Can you figure out the rule for this sequence, and find the next row of numbers? The answer to this question is at the bottom of this page.
If you continue this sequence, you will get a set of numbers like the one shown below: It is supposed to be a triangle with absolutely straight sides, but I can't seem to make it come out perfectly in my webpage software.
If you create 3 more copies of the sequence above so that you have 4, and tape them together, you can create a 3-dimensional pyrmaid similar to the one shown below. There is face that you do not see, in the back.
You may notice that the edges are a bit "wavey"; this is because the pyramid above was made out of paper. You will get a sturdier pyramid if you use heavier weight paper, or even glossy photo paper for the best results.This pyramid is called a tetrahedron, because the base and all three faces are congrent equilateral triangles. The great pyramids of Egypt have square bases. Though they are pyramids, they are not tetrahedrons.