The purpose of the "web" assignment is to give you time to simply browse. I hope you enjoy exploring different sites to see examples of some true mathmagic!
Click here for a link to the document for today's assignment.
And here's a new web tool I've wanted to try. It's called "Thinglink," and you can embed links within the image. Don't know if you'll get to explore Sierpenski triangles and fractals today, but they're very cool and related to Pascal's triangle, too! I've attached a few links, and if you find something else fun, please try adding new links to this image.
Please share!
By Tuesday, April 9, 5 PM, please post (in the comments below) a sentence or two about the most math-magical thing you discovered about Pascal’s triangle, the Fibonacci sequence, or Phi. What was fun, interesting, cool, or made you ooh and aah?? Please share!
Thank you, and have fun!
OK, I just found someone else who loves the Fibonacci sequence. Check out the video here: http://www.numberphile.com/videos/fibonacci_tartan.html
ReplyDeleteFind other fun videos on the Numberphile home page: http://www.numberphile.com/index.html
The way that the Serpinski triangle appears in the Pascal triangle just by shading in even numbers was really cool! I never saw it coming!
ReplyDeleteEric Speer, 1st period.
I discovered some evidence that perhaps math was discovered, not invented after all. Seeing as Fibonacci and Phi have so much relevance and are so present in nature, it's hard to believe that these things could just be created and magically work; maybe math has been around since the very beginning, just waiting for someone smart or lucky enough to find it?
ReplyDelete-Mitchell Kagel 1st
Pascal's Triangle, the Fibonacci Sequence, and futhermore Phi, the golden ratio, are all connected; not only that, but they can all be found in nature in various forms. And all this from a sequence involving nothing but simple addition!
ReplyDeleteGriffin Milan, 1st
It seems like, somehow, the Pascals Triangle has something to do with everything, and with the fibonacci sequence and Phi it encompasses almost anything.
ReplyDeleteShayne Kerianvkjebe
1st Period
If you add any two consecutive triangular numbers, you get a perfect square! Wow!
ReplyDeleteKelly Henry
3rd period
One of the most interesting things I came across about Phi was the relationship it had in color and the creation of the PhiBar based on the frequencies and wavelengths of the visible light spectrum in regards to Phi to create combinations of color appealing to the eye. Using this program it indicates that a pleasing combination of colors would be blue, purple, and scarlet which is how God ordered Moses to decorate the tabernacle in the book of Exodus. How cool is that connection?
ReplyDeleteKatherine McCoy-1st
on one of the websites i saw how phi was related to the way humans, dolphins, bugs and many other organisms all have a ratio to represent the way they were created. I think it is neat to see how so many things around us were created in such an orderly way even if we don't notice it.
ReplyDelete-Alie Dinger 1st period
While looking at Phi and Pascals triangle I noticed how not only man made structures resembled the patterns, but also many different things in nature. Its neat to think that math such as this was inspired by the simplist things and yet they can be so complex and numerous at the same time! Math literally is everywhere!
ReplyDeleteJacob Cocke: 3rd
In the United Nations building, the width of the building compared with the height of every ten floors is a Golden Ratio (Phi)
ReplyDeleteBhupendra Karki - 1st period
Okay- one thing that really amazed me was that the Golden Ratio was present within our body structure. A cool fact I found was that we have 8 fingers in total, 5 digits on each hand, 3 bones in each finger, 2 bones in 1 thumb, and 1 thumb on each hand! Mind. Blown.
ReplyDeleteSuzie Ghidei
1st Period
An interesting fact I found on the Fibonacci sequence was that Fibonacci, aka Leonardo of Pisa, didn't invent the Fibonacci sequence, but talked about it in his book, "Liber Abaci", which taught Europe about arabic numerals. "Wow!"
ReplyDeleteCatherine Ironbar- 3rd
It was amazing to see the different ways the Fibonacci sequence along with Phi were relevant in things we use and see everyday! Take for example a simple flower we know its beautiful ,but we don't take in the fact that it contains a Fibonacci sequence and that to me is mathmagical.
ReplyDeleteRubel Ghebermicael
1st Period
I couldn't believe that the fibonacci sequence could be found in so many things in nature like the structure of saturn's rings, or, even cooler, pine cones!
ReplyDeleteTaylor Siskind
1st period
I was amazed at how many real life objects the Fibinacci sequence and Phi are present in! I was shocked that the number of petals that spiral around a pine cone or a flower is the Fibinacci sequence. I thought it was cool how it also explained why four leaf clovers are so rare, because four is not a Fibinacci number.
ReplyDeleteAbby Rodgers
3rd Period
I never knew that Phi(Golden ratio) has great connection with ours everyday live. Phi(Golden ration) is used by artists and architects from past thousands year.
ReplyDeleteSuk Sapkota
1st Period
I thought it was pretty cool that Serpinski's triangle was related to Pascal's. The fact of Phi and Pascal's triangle in things like art and architecture really fascinated me too!
ReplyDeleteSterling Chavez
1st Period
When researching the Fibonacci sequence, I discovered that the sequence, along with pentagon formations can apply to the shape of your face. it seems to me that the Fibonacci sequence can be applied everywhere!
ReplyDeleteKate Tobey
3rd Period
The Fibonacci sequence is present and hidden in many different aspects of nature. I think it's crazy how math can be found even in something beautiful in nature, such as a sunflower!
ReplyDeleteMeredith McCown - 3rd Period
What I found the most interesting was how Phi can be found EVERYWHERE!! Even in space! The relative distances of the planets and the largest asteroid averages to Phi. Even the width of the divisions of Saturn's rings use the Golden Ratio! How cool is that?! That is some true mathMAGIC
ReplyDeleteMaddie Mae Seyer
3rd Period
According to goldennumber.net, our universe is in the shape of a dodecahedron which is a 12 sided figure with pentagon faces based on Phi. I just had to sit back and take a moment to imagine the unbelievable size of this geometric figure. Who would have thought that the largest geometric figure in our universe actually is our universe?
ReplyDelete-Aaron Renaud
1st Period
It's amazing yet mysterious how Phi is related to many things that we know, such as music and the solar system. I was fascinated by the fact that Phi is often used on designing musical instruments. An addition I was also intrigued on how Venus and Earth have a relationship that involves Phi. Reminds me of the statement of Pythagoras saying, "Numbers rule the Universe."
ReplyDeleteRaul Velazquez
1st period
It was really interesting to me that the petals of flowers follow the Fibonacci sequence. Because the number four is not included in the Fibonacci sequence, this could explain why four leaf clovers are so rare to find. As a child I was always curious why this was the case, and now I know the reason why!
ReplyDeleteMorgan Dishman
3rd Period
I thought the coolest thing was just the plethora of patterns that can be found using Pascal's triangle. The triangle one, the hockey stick pattern, and then the serpinski pattern. That's a lot of patterns for just one triangle.
ReplyDeleteCaitlin K
The most math magical thing that I found that was in nature that incorporated the fibonacci sequence were the stems of the snootwort plant. It was super math magic magical. Please give me extra credit
ReplyDelete-Eddie Harris
I think it's awesome that Phi is present in our bodies (our hands). We're living, breathing math!
ReplyDelete-Darian Stokes 3rd
I thought it was interesting that the measure of the angle that forms the Egyptian pyramids is 51.83 degrees and that the cosine of 51.83 is phi.
ReplyDeleteWill Clift
I couldn't believe the amount of places there were that contain the fibonacci sequence. One of my favorites was the example with the tree branches. Math really is everywhere!
ReplyDeleteI found it interesting that two colors in the visible light spectrum that are separated by phi can be combined to produce a visually appealing color. Mind blown!
ReplyDeletePeri Bowden 1st
when i found out that the Fibonacci sequence is even found in our the milky way (and im not talking about the candy bar)! its amazing where we can find math all over the place. Math was defiantly discovered; not invented.
ReplyDeletehere is a link of this cool website too!
http://www.fabulousfibonacci.com/portal/index.php?option=com_content&view=article&id=4&Itemid=12
Colin Smitham
Great link! Thanks for sharing.
Deleteit awesome that phi present our hands. it was super math magic magical
ReplyDeleteIt was really interesting to me that the petals of flowers follow the Fibonacci sequence. it was super math magical
ReplyDeletepawmuay st
I thought that it was interesting how with the hockey stick pattern, no matter how long your diagonal is, the sum will equal the last number that makes up the "hockey stick". The extra credit is irrelevant to me at this point with these technical difficulties, but here's my input..
ReplyDeleteCatherine C — 1
Sorry about your technical difficulties. Thanks for your perseverance.
DeleteThe most interesting thing that I discovered from this lesson is the hockey stick method. It is cool how it works no matter where you start your pattern or where you end it.
ReplyDeleteThomas Chilian
3rd Period
If I had seen the Sierpinski Triangle outside of this lesson, I would have simply thought it was a pretty-looking design. I think it's fascinating that there is a mathematical pattern behind the design, that it's not just an abstract pattern. It's cool to see how math applies to so many different scenarios outside of the classroom.
ReplyDeleteKelsey Kaigler- 3rd