Who Needs Doubles When You Can Have Triples?

Last day of class? How can that be?
It's day 1(mod 21) and time has been flying by! Today we were met with many emotions as we boarded the bus on the way to school. Most of those feelings were those of excitement about last night's homework, but that's beside the point.

Morning coffee!

Once arriving at school, we had our final lecture of interim on Pythagorean Triples. Have you ever wanted to construct a Pythagorean Triple? Well look no further! It's as easy as (2st, s^2-t^2, s^2+t^2)! (that's not a factorial, I'm just excited). Katelyn was mentioned in our worksheet in which she had an exclamation made due an epiphany she had about math (we are still waiting on the dramatization of such event). Also Adam made up a word but forget what it was. But anyway, Pythagorean Triples have some connections to geometry and perfect right triangles, which is pretty neat. We ended our class by touching briefly on Fermat's Last Theorem, which is an appropriate way to end class since it's the last thing we did.

last day mood

mood part 2

taking over class

After class, we had some time for lunch so we stopped at our favorite gyro stand one last time. We took the bus to the hotel but noticed that we have been living next to a shopping center the entire time and have yet to give it a go. Let's just say it's no Mall of America....

wow crowded (Anika had a disappointing coffee and Katelyn paid 100 forints to use the water closet)

Our final all-class activity was a tour of the National Gallery on the Buda side of the Danube. To get to the gallery, we took a funicular railway up the hill to Budapest Castle in which the gallery is held. We took a guided tour of some of the more prominent works by Hungarian artists, and afterward we were left to our own devices, and were able to view more of the works.

Once our appetites had been artistically satisfied, they were ready to be culinarily satisfied. For dinner, we made a trek back to the area around Parliament in order to find some grub. After being rejected from two places due to us not making a reservation (it is Friday after all), we finally stumbled upon a restaurant, where we ordered some ravioli and pizza. 

Here is a pic of the innards of the restaurant because we forgot to take a picture of our food.

Once dinner concluded, we took the metro back to our humble abode. Us from room 565 really have enjoyed our month of studying math, exploring the city, and learning more about Hungarian culture, and are sad to see it come to an end. Thanks for joining us on this journey!

Signing off for the last time, 

Anika, Shannon, and Katelyn