Mathematical formula are all around us, and you can enjoy them as an art more than you might realize. Enjoy!

Click on the pictures to enlarge them.

I visited Austria during the summer of 2016, and ended up in a very small town on the Austrian/Swiss/German border. Noticed the tiles in leading up to a church and thought it looked like water. Tessellations in Geometry class tend to be very “exact” since we imagine using perfect shapes, but you can see here the real-world design using imperfect squares/rectangles.

During this visit in Austria, I had the pleasure of going on a school trip with students from a school in Vienna. I loved meeting these kids, and they were very impressive with their ability to speak German as well as English. We camped for two nights in near a beautiful lake and participated in some great problem solving activities. Pictured is a group of students working out the best way to build a raft given specific materials. I guess this might end up as more of an engineering problem, but nonetheless I felt it belonged in this post. What math do you see? Physics? Other science?

I always thought I had a strong grasp of how to use Arabic/Roman numerals. However, when looking up at the clock on this building, I noticed something different. Do you notice it?

Flowers. Who doesn’t love flowers? Well, I guess people with bad allergies. Regardless, every time I see a flower, I can’t help but think about what equation I’d have to make to create that flower. What equation did the plant use? (I don’t really think plants are calculating like that) I attempted to match an equation to one of them, and the rest are not solved…..yet. I used something called polar coordinates to graph them.

This is how I made it: https://www.desmos.com/calculator/1zit7pty9f

I traveled to Spain during my awesome European adventure in the summer of 2016. In the city of Bilbao, they have so many different beautiful things to see, one of which is the Guggenheim museum. Unfortunately, they don’t really like you taking pictures in there, but here are some shots of a really cool looking bridge. I predicted that it was a hyperbola of sorts, and started trying to model it using Desmos. It isn’t lined up perfectly, meaning I’d have to rotate it a bit with respect to the z-axis. It’s a close estimate though.

Don’t turn me in, but I managed to get a few shots from the Guggenheim museum. Of particular interest was this collection of metal spheres. According to the hand-held tour guide narration device they gave us, these spheres are not placed at random. There is a very specific mathematical formula for how they are placed and this is what it looks like. Also pictured is the outside of the museum. I highly recommend a visit if ever near one.

Almost got it….. but not quite. What would you change to make it more exact?

Link to the file online: Almost Flower