## Archive for December, 2020

### A Pattern Puzzle for the New Year

Over at the Visual Patterns site, the directions state that if you click on a pattern, you’ll get to see the number of objects in the 43rd step. Why 43? I assumed that it had to do with Fawn Nguyen being a fan of Troy Polamalu — which, as far as I’m concerned, would be just one more reason to have an infinite amount of respect for her — but when I asked about it, Fawn explained that 43 was chosen as…

…a random number that was farther down the step number to prevent students from finding the number of objects recursively, but not too far.

This explanation sits well with my beliefs. In my book *One-Hundred Problems Involving the Number 100*, I stated that it’s appropriate to ask students to find the 100th term in a sequence because 100 is “big enough to exhilarate, but not so big as to intimidate.” The same could be said about 43.

Following Fawn’s lead, here’s a problem to get you in the spirit for the new year. Feel free to share this problem with your students on or near January 1.

*How many squares would be in the 43rd element of this sequence?*

Coincidentally, I shared this sequence with Fawn, and it now appears as #392 on the Visual Patterns site.

Speaking of sequences, here’s my favorite infinite sequence joke.

Infinitely many mathematicians walk into a bar. The first says, “I’ll have a beer.” The second says, “I’ll have half a beer.” The third says, “I’ll have a quarter of a beer.” They continue like this, each one ordering half as much as the last. The barman stops them and pours two beers. One of the mathematicians says, “That’s it? That’s not enough for all of us!” The bartender replies, “C’mon, folks. Know your limits.”

For fun, figure out how much beer the 43rd mathematician asked for.

And as a little more fun, guess the value of all the coins in the glass below. As a hint, there are the same number of quarters, dimes, and nickels, but three times as many pennies as dimes. (Said another way, Q:D:N:P::1:1:1:3.)

If you think about it a little, you’ll realize the answer without doing any computation.

Happy New Year!

### Mathy Zoom Backgrounds

Do you seek the admiration of your colleagues or the respect of your students?

Do you wish to create the illusion that you’re funny and cool?

Do you long to be the envy of your virtual social circle?

Unfortunately, you’re reading a math jokes blog, which means there may not be much hope for you. But a possible start may be to download some of the math joke backgrounds below for your next online meeting. I’ve been using them for the past few weeks, and I don’t think it’d be an overstatement to say that I’m now the envy of the internet. I mean, I’ve got a face for radio, but you have to admit that I look pretty fantastic when there’s a math poem above my head and equations on either side of it:

And guess what? You can look that cool, too!

To use any of the images below, simply right click and “Save Image As…,” then install them as virtual backgrounds (Zoom, Google Meet). If you’d like a better look at any of them before deciding if they’re worth valuable memory on your laptop, just click on an image to open it full screen.

### KenKen 12 Puzzle for 12/12

Today is the twelfth day of the twelfth month, and in honor of the date, here’s a 4 × 4 KenKen puzzle that has 12 as the target number in each cage. The entire puzzle has only four cages, and it only uses addition and multiplication. Have at it!

But a post with just a KenKen puzzle isn’t much of a post, especially on a math jokes blog. So let’s consider some jokes that have to do with the association between 12 and a dozen. The following are some mathematical insults you can use if you’re playing the dozens.

Yo momma is so fat, she’s proof that the universe is expanding exponentially.

The shortest distance between two points is around yo momma’s ass.

Yo momma is so fat, her volume is an improper integral.

Yo momma is so crazy, when she received a can of Pepsi from the vending machine, she started jumping up and down, yelling, “I won! I won!”

Yo momma is so dumb, she thinks convex are inmates locked in a prism.

Yo momma is so infinitely fat, she can eat as much as she wants and not gain any weight.

Yo momma thinks cosine is what she does for a loan.

Yo momma is so dumb, she sleeps with a ruler to keep track of how long she sleeps.

Yo momma is so fat, she took geometry because she heard there was gonna be π.

Yo momma is so fat, the ratio of her circumference to diameter is 4.

Yo momma is so fat, in a love triangle she’d be the hypotenuse.

Yo momma thinks *coincide* is what you should do when it’s raining.

The integral of your mom is fat plus a constant, where the constant is equal to more fat.

Yo momma is so dumb, she doesn’t know the difference between a doughnut and a coffee cup.

Yo momma is so dumb, she thinks crossing a mosquito and a mountain climber yields |mosquito| × |mountain climber| × sin(θ).

The derivative of yo momma is strictly positive.

Yo momma is so dumb, she serves beer in Klein bottles.

Yo momma is so dumb, she thinks that if two people go into a hotel and three come out, the first two must have pro-created.

Yo momma is so dumb, she can’t even solve a second‑order non‑homogeneous differential equation.

Yo momma is so fat, her dress size requires an exponent.

The limit of yo momma’s ass tends to infinity.

Yo momma is so fat, when she steps on the scale, it displays π without a decimal point.

Yo momma’s muscle-to-fat ratio can only be explained by irrational complex numbers.

Yo momma is so ugly, Pythagoras wouldn’t touch her with a 3-4-5 triangle.