Bookmark Collection

This site dealt with Pascal’s triangle and its patterns. It was definitely an interesting site; one that brought forth an understanding of the many uses of Pascal’s triangle and all of its variations, complete with pictures. This site is an excellent tool for the visual learner. It was so wonderful to be able to identify the numerous triangle patterns and explore their calculations. The site provides information on how to construct Pascal’s triangle, how to find the sums of the rows, identifying prime numbers, identifying the hockey stick pattern, magic 11’s, the connection to Fibonnacci’s sequence and Sierpinski’s triangle, polygonal numbers, points on a circle, square numbers, and triangular numbers.

This site is one of my favorite mathematical website discoveries from this course so far. When we dealt with the topic of magic squares earlier in the course, I had not previously heard of them. However, after combing through all of the information this website had to offer, I was able to acquire the knowledge that I needed to successfully complete both the unit and extra-credit assignments. Through this site one can explore the history of magic squares, define a magic square, discover magic totals, odd magic squares, 4x4 magic squares, 4x4 magic square checker, variations on magic squares, yantras, a birthday magic square, magic square photographs, and frequently asked questions. There is also a link to 48 other online magic square links for those who really enjoy the art of the magic square puzzle as much as I did. I had so much fun with this site!

This site provides outstanding details and brings the world of fractal geometry and its associated concepts to life. The site is based on the workings of Michael Frame, Benoit Mandelbrot, and Nial Neger of Yale University. Through the site the viewer can take a comprehensive tour of fractal mathematics and explore such topics as: introduction to fractals, self-similarity, initiators and generators, geometry of plane transformations, iterated function systems, inverse problems, random IFS algorithm, driven IFS and data analysis, fractals in architecture, natural fractals and dimensions, how to measure a curve, box counting dimension, manufactured fractals, the Mandelbrot and Julia sets, fractals in literature in art, fractal history, and fractal fitness landscapes to name a few. If you spend enough time on this site you can absolutely get caught up in all of the amazing pictures and details, which will cause you to lose track of time….I speak from personal experience here! I found the site to be fascinating to say the least and I learned a great deal about fractal mathematics; certainly worth the trip!