Category Archives: The Maths!

Happy Pi Day!

From what I can tell, today is a very special day in certain communities. Apparently, it is “pi” day.

Ooh, it’s pi day already?

You actually know about this holiday?

Of course! It’s 3/14. Like “Pi”, one of the favoritist Greek letters of mathematicians! Stands for 3.1415926…

In fact, I composed a couple of poems about it.

That sounds… really scary.

What? It’s fun! In my first one, the number of words in the line maps to the digits of pi. In the second, the number of syllables does.

Want to read them?

No.

Well, you’re going to anyways.

“Pi”em 1

Pie. How delicious.
What?
Not the edible kind?
Really?
What, then, do you mean?
Are you sure you’re not in error about this?
Quite sure?
Well, what kind of pie, then?
The mathematical type of “pi”?
That sounds fun.
Maybe even poem worthy. Wait…
Isn’t that what I have done with this structure?

“Pi”em 2

Pie is good.
Yup.
Even math’s pi.
See?
You can make poems!
The syllables map to pi’s digits.
Really!
Isn’t that sort of cool?

See, that wasn’t so bad, was it?

Do you really want me to answer that?

Anyways, readers, are you doing anything special for Pi day?

Hexaflexagons Part 3: Kaleidocycles

A friend just sent me the link to one of the other coolest things ever.

Let me guess: More cute owl photos?

No. And those qualify as cute, anyways, not “coolest thing ever.”

Rather, the link is to a 3D version of a hexaflexagon. So it’s, like, got dimensionality and stuff. It’s a toy called a Kaleidocycle. And they are really cool. You should definitely check it out! I definitely want to make one.

So… how does this qualify as “fluff”, exactly?

Uh, no discernible use?

…I guess that works.

As with hexaflexagons, if you get one working, do let me know?

HexaFlexagons, part 2

I did it! I made a Hexaflexagon!

Pictures, or it didn’t happen.

Will wonders never cease? Fluffy is actually asking for pictures?

Well, as you wish!

Closed green hexaflexagon

Closed green hexaflexagon

Hexaflexagon about to be opened

Hexaflexagon about to be opened

Hexaflexagon in the process of opening

Look! It opens!

Hexaflexagon that has been opened all the way

Flexed Hexaflexagon

Isn’t it purdy?

You are easily amused, aren’t you?

You have no idea…

Oh dear…

Well, happy Sunday, everyone! I hope you have a phenomenal week. 🙂

Hexaflexagon Fascination

Hello, everyone!

Since there’s not much for a website to do except be online, I have recently started exploring the home of my friend YouTube. And I came across one of the more amazing channels out there: A channel devoted to fun math. If you don’t believe me, check out these links. (Even if you do believe me, you should still check them out.)

Hexaflexagons:

Hexaflexagons 1

Hexaflexagon Safety Tips

Flex Mex

As you can see, the creator of those videos is absolutely amazing. It’s times like this that I really wish I could actually do things with my hands.

Actually, don’t worry. You’re not missing too much; it’s a lot harder to make a hexaflexagon than it appears.

Oh? You’ve tried doing so?

Yes.

Paper Hexagon

Hexaflexagon not trying to open.

Hexaflexagon closed.

The Hexaflexagon won’t open. I have issues.

Clearly something didn’t work as anticipated…

Ooh. Now I really wish I could try this myself… I wonder how easy it is to make the same mistake you did?

Thanks, Fluffy. I can always count on you to brighten my day, can’t I?

Of course! It’s one of my talents.

Anyways, I hope you have a wonderful Saturday!

There are 10 types of people in this world…

You know, as the current manifestation of a website, I really have to think that the Human System of Counting is ineffective.

Oh?

Yes. Binary is the way to go.

Binary?

Yes. It’s a different way of representing numbers. Here’s an overview of binary.

Ok… So why do you think it’s so much more effective?

Well, I should rephrase. It’s more effective for some things. If we were actually writing stuff out on paper, it would be much less effective. But in terms of basic representations of counting, it could be a lot more effective.

Ok, but why?

Well, I’ve been thinking about counting. And learning to count. And fingers.

You’re talking about counting on your fingers?

Yup.

Right now, as I’ve said, it’s horribly inefficient. Each finger you hold up counts as one digit, and you count up the number of digits, so the maximum you can get is 10. Unless you’re using a unique base-10 system, where the left hand represents 1s, and the right hand represents 10s, in which case you can get up as high as 99.

…Uh, ok! I’ll take your word for it.

Good. It’s not really important.

Anyways, as I was mentioning, I was thinking about how inefficiently we use our finger-counting system. If we were to count our fingers in base 2, we could get a whole lot more.

Bwah?

Isn’t base 2 a lot less effective?

On paper, yes. But in terms of fingers, you could get up to (2^10)-1. Just with your 10 fingers.

How does that work?

Simple, really. Make each finger represent a power of 2.

Base 2 finger counting

Counting with Fingers in Binary

After that, it’s all a matter of simple memorization, and then addition. And memorizing how to count.

You see, if you have a particular base’s finger up, you count that base. If it’s down, you ignore it. Three, for example, would just be your thumb and first finger up.

Counting to three in binary using fingers

How to count to three in binary with your fingers.

That’s… Confusing.

I think the word you were looking for is “awesome.”

No, I was definitely looking for the word “confusing.”

You’re hopeless.

Anyways, I really think that binary has so many applications we haven’t even thought of. And I really think that everyone should relearn how to count with their fingers. Thoughts?