Saturday, November 19, 2016

Brady numbers. Brady numbers. The title is acting strange. Help me, friend.

I found the general formula for the Brady numbers. It's Bn = 1571.964902Φ^n + 381.0350976(-Φ)^-n.

I know, potoo friend. I was surprised, too.
Here's the series on the Brady numbers:
https://www.youtube.com/watch?v=D8ntDpBm6Ok
https://www.youtube.com/watch?v=dTWKKvlZB08
https://www.youtube.com/watch?v=PeUbRXnbmms
One thing I like about the general formula is that it's clear to see why every series which increases fibonaccily is connected to the golden ratio, because when a term is divided by the previous term it is:
[(a constant)Φ^n + (a constant)(-Φ)^-n] / [(the first constant)Φ^(n-1) + (the second constant)(-Φ)^-(n-1)]
And, because (-Φ)^-n gets closer and closer to zero as n gets bigger, it can be simplified to:
[(a constant)Φ^n] / [(that same constant)Φ^(n-1)]
And then, because [(a constant)Φ^(n-1)] / [(that constant)Φ^(n-1) = 1, this becomes
Φ^(n-(n-1)) = Φ^1 = Φ
YAY!

Two announcements

I did two amazing things yesterday. First, I found a general formula for every fibonacci-like series in which each term is the sum of the two previous terms, given the two initial terms.
The Fibonacci sequence occurs when A0 = 0 and A1 = 1. The Lucas numbers occur when A0 = 2 and A1 = 1. I'm sure someone else has found this formula, but I haven't seen it on the internet. It was a pretty easy generalization to make, after seeing the Fibonacci series done in Elliptic Tales, and then doing the Lucas numbers as a trial run. Learn more about these series here.

Second I did this word search.
I am very proud.

Tuesday, October 18, 2016

Three distinguishing or admirable qualities

Okay, let me preface this by saying that the last post actually helped a lot, even just in the act of writing it. Okay so between that sentence and this one my mom confronted me about said post and we agreed that is was fine, because it is. I think largely because of just writing all that down. Anyways, here's what I ended up saying:

I have a very… distinct sense of humour. I like dumb jokes, and visual gags, and terrible puns. You might have noticed that I’ve made a few joking comments in these responses. I’ll leave it up to you to decide if they are funny. A quality that I find admirable is my open-mindedness. I enjoy trying and learning new things, and aim to never dismiss anything just out of hand. Again, you might have picked up on that elsewhere in my responses, what with all the learning and the exploring. Third, I have the best hair. It is black and curly and the swirls go in different directions depending on what side they are on. My hair is also noticeably long, going a little past my shoulders. I should probably cut it, to be honest. Anyways, I would say those are my three most distinguishing and admirable qualities.

And I meant every word of that.

Sunday, October 16, 2016

I am the worst person

No, really. I am my least favorite out of all the people I know. I never do anything. I never go anywhere. I can't even bring myself to make any interesting descriptions of myself. I have tried and failed at more things than I have tried and succeeded at. My life is the easiest of any I've heard of, and I still manage to only barely stumble through it. None of my friends are dead. None of my relatives have recently died. I get good grades. There is no logical reason for me to be sad. But I am. I'm just worthless.

I'm applying to colleges this year. It's not fun. It's not fun for anyone, though. I'm not special. Anyways, I am looking into everywhere I'm applying to and they all want people with direction and creativity and smarts and tenacity and perseverance and uniqueness and other things that are not me and I don't know what to do. One of the questions for me was, "List your three most distinguishing or most admirable qualities." I couldn't think of any. I still can't. I am the most bland, useless pile of nothing ever to disgrace the earth.

Yesterday I met a guy named Amos. My dad and I gave him a ride home from a choir concert. He is the least me person I can think of. He is in basketball and football and wrestling. He hopes to compete in the NFL and I think he can do it. In his free time, he plays Call of Duty. He has a YouTube channel onto which he uploads footage of him playing CoD and also original songs that he's made. He has two first names, but I've forgotten the second one. He is interesting and nice and humble and fit and he knows what he's doing in his life. He does things. I don't.

In conclusion, I do not, in fact, think you should let me into your college, or even into your state. Although, if I was there, you still probably wouldn't notice. Gotta look on the bright side. At least nobody cares.

Thank you, voiceless imaginary reader. Thank you for letting me vent. I need to go pretend to have three distinguishing or admirable qualities now. Bye.

Friday, September 2, 2016

Just For The Record

Yesterday was the first time I had ever stayed awake all night. As in, I woke up on Wednesday morning, was sick, and the next time I fell asleep was Thursday afternoon. I wouldn't recommend doing that. It doesn't feel good.

One thing I would recommend is Flat Dreams. It's a tale about Gravity Falls, in which Bill comes from Flatland. I'm not sure how much sense it will make to someone who has neither read Flatland nor seen Gravity Falls, but I have, so I really enjoyed it. The story is here if you want it.

Wednesday, August 17, 2016

New York

Today is the last day I'll be in New York. Well, that's not actually true right now, but it probably will be by the time I post this, because right now it's 11:12, New York time. So, I just got back from watching Hamilton. It was so good that I could not even. But I'm going to refrain from talking about that right now, because I have more to say.

I arrived by plane almost a week ago, on Wednesday, with my sister and my dad. We landed in Newark, and took a bus to Times Square, from which we walked to our hotel, Le Soleil, and met up with my mom. In summary: the penthouse floor is dumb because it has not much room and costs a lot more and the lighting is wired in an incredibly weird fashion. Still, it was enough to sleep in.

The next day was Thursday. I woke up in the hotel, and learned about our plans to go to the American Museum of Natural History. We walked through the heat and humidity to the subway, then took the B line uptown. We could immediately tell when we got to the right station because of all the tiled creatures lining the walls. We entered immediately through the 81st street entrance, and looked at space. Such space. After the space, we went upstairs to see more space. Specifically, we went to see a planetarium show by Neil deGrasse Tyson on cosmology and the big bang. It was very good at conveying information, without dumbing it down too much for the audience. We also got into the Dinosaurs Among Us exhibit, which is about dinosaurs evolving into birds. It's pretty sweet. We were there for over an hour. Then we went into the Hall of Biodiversity, which absolutely BLEW MADAME MIND. We spent the rest of the day between there and the Milstein Hall of Ocean Life. I had so much fun.

The next day was Friday, and, having learned my lesson, I tied up my hair to make it feel less hot, and we went out to the National Museum of Mathematics. Needless to say, it was radical. My favorite exhibit was a game in which two players had to add numbers to fifteen. Thing is, one of the players is presented the same information in a tic-tac-toe format, so they get a huge advantage. Then I got seventeen books and we left. After leaving the museum, we went to a "Japanese store" that Lucia wanted to visit. It was okay. I'm not as much of a japanophile (should that be capitalized?) as my sister is. Still, I got a book about trees. We went home, and my mom and I planned the next day.

Our plan was to move in a big square, walking west to the High Line (a park on an abandoned train track), then south to Chelsea (a mall), then east to The Strand (a book store), then north back to the apartment. We did, indeed, do that. The High Line was pretty. The Strand had only four places to sit, and we got all four. I bought two more math books. Now I have many books. Also, we saw a man with a snake.

On Sunday, we went to the Metropolitan Museum of Art, better known as the Met. It was very fancy. The Arms and Armor exhibit was really cool, almost as cool as the fashion exhibit. We also saw modern art and classic European paintings by folks like Picasso and Monet.

Yesterday (or, the day before yesterday, now that it's 1:17) we went back to the museum to try to catch a bit more of it. First we went to like a space theater and went down a ramp or whatever. Then, we got into the temporary exhibit about crocodiles, which was very cool, and then slipped right into watching National Parks Adventure. I'd already seen it two times, but Lucia wanted to go again, and I didn't really mind. It does, after all, have the best music of any documentary I've ever seen. We tried to go see the dinosaurs, but we started in the wrong place, and then we were taking too long, and then we decided to come back the next day (today) (yesterday). After a quick trip to the Hall of Minerals (in which I was a bit too interested for my liking) and another trip to buy a shirt (but not a butterfly shirt, because that one was for girls apparently) we went back home.

Then, today. Or, yesterday. We went all the way through the fossils, from start to finish, following the path, going through all the branches, and reading all the things that were interesting. This was a lot. But it was worth it. I came out with an understanding of the history of life on Earth miles ahead of where I was before. That took most of the day. Afterwards, we went to Barnes & Noble to wait for Hamilton to start.

Hamilton was so great that it kind of hurts that I'm this tired, because I really want to say more about it, and I know I won't be able to get my ideas across as well in this state. Still, here I go: it was fantastic. It was incredibly fantastic. So much as to even be worth the price of admission. And that's saying something. My favorite songs were Right Hand Man, Satisfied, The Room Where It Happens, The Reynolds Pamphlet, and the ones where the folks die. Prior to today (yesterday), I hadn't heard any songs past Ten Duel Commandments, and I think that made it a better experience. The show is all songs, so you don't miss any audio if you get the iTunes. I cried. I cried a lot. It was good.

So, those were the highlights of New York. Tomorrow (today) is Wednesday. I'm going home.

Sunday, August 14, 2016

A scary story

I've become more and more fond of scary stories since Halloween of 2014. What with being all savvy with the tropes, I haven't been really scared in a long while. This here is the first story in the last few months which has genuinely made me scared of the dark. Enjoy.

https://www.reddit.com/r/shortscarystories/comments/4x7wgk/the_restaurant/