Pascal's triangle determines the coefficients which arise in binomial expansions. Pascal'striangle has many properties and contains many patterns of numbers.

-Clarence

The picture of the week is Pascal's Triangle.It is a geometric arrangement of the binomial coefficients in a triangle. It is named after mathematician Blaise Pascal.

-Clarence

Pascal's Triangle

This week picture is Pascal's Triangle. It is a geometric arrangement of the binomial coefficients in a triangle. This is how the construction of the triangle works. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number directly above and to the left with the number directly above and to the right to find the new value. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row. Pascal's Triangle shows up is in probability, where it can be used to find combination.

-Lindsey

The pascals triangle was the key to determine the coefficents for binomial factoring. Another good use for the triangle is in the calculation of combinations.


Austin H.

This weeks picture is Pascals triangle. Even though Blaise Pascal wasn't the first one to use these numbers, he was the first to fully organize them into a triangle. The year was 1653.

Austin H.

Angels II

Another reason why this picture has to do with math is because it has reflections of the objects in the picture. Tessellations are seen throughout art history, from ancient architecture to modern art. A regular tessellation is a highly symmetric tessellation made up of congruent regular polygons. Only three regular tessellations exist: those made up of equilateral triangles, squares, or hexagons.
Example of a tessellation-
Lindsey

Angels I

This weeks picture is angels and demons. The picture has to do with tessellations. A tessllation is a shape that is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling. The first tilings were made from square tiles.

Lindsey