## 2D Random Walk and a Drunk Mathematician

July 9, 2021

The random walk is a way to create a path based on random decisions at junctions. If you’ve played a procedurally generated video game, including major examples like Minecraft and Stardew Valley as well as cult favorites like Spelunky and Dwarf Fortress, you’ve encountered a random walk in the form of a dungeon or terrain made this way in the programming. More @ Popular Mechanics

2D Random Walk math helps game programmers to plot interesting pathways in games like Minecraft Dungeons. (above)

# Plot a 2D Random Walk

There are 4 choices:

UP, DOWN, LEFT, RIGHT

Note: This 2D random walk is limited to a 1-unit step length and right angles turns.

Set the Random Number Spinner here to 4 and generate 8 random moves of 1 unit and plot the moves on the worksheet(below).

1  up

2  down

3  right

4  left

Printable Worksheet:

Here are 5 X 8 step 2D Random Walks.

These 2D Random Walks do not look like the path taken by a drunk mathematician.

# Drunken Mathematician

This looks like a drunken mathematician and the 2D Random Walk for a drunk mathematician would look like pathways shown below with variable step lengths and turns from 0-360°.

All Random Walks can be mathematically modeled. eg. Go to MIT here. This math can be quite complicated (See here.) But all we want to do is plot the 2D Random Walk to see random numbers in action.

May 25, 2021

## Click on the POP-UP answers under each question.

1. How many bristles in a toothbrush?

2. What % of Oxygen in the atmosphere comes from forests?

3. How loud was the loudest recorded human scream?

4. How many apples could kill an average-sized adult?

5. How many countries in Africa?

6. What happens when you Google this number, 241543903?

7. How many vertebrae in a giraffe’s neck?

8. What is the highest recorded wind speed?

9. What is the world record high-jump height for a guinea pig?

10. How many times does England fit into Australia?

11. How much did the most expensive dessert ever cost?

12. Why is 70 a weird number?

14. How many burgers does McDonalds sell a second worldwide?

15. If the population of the world was spread evenly across the USA, what area would we get each in basketball court sections?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123?

18. What is the world record for the greatest number of snorts in 10 seconds?

19. How long would it take to grow your hair to your feet?

20. What number causes the greatest loss of money in the world?

1. How many bristles in a toothbrush? HERE

2. What % of Oxygen in the atmosphere comes from forests? HERE

3. 3. How loud was the loudest recorded human scream? GOOGLE IT!

4. How many apples could kill an average-sized adult? HERE

5. 5. How many countries in Africa? GOOGLE IT!

6. What happens when you Google this number: 241543903? HERE

7. How many vertebrae in a giraffe’s neck? HERE

8. What is the highest recorded wind speed? HERE and HERE

9. What is the world record high-jump height for a guinea pig? GOOGLE IT!

10. How many times does England fit into Australia? GOOGLE IT!

11. How much did the most expensive dessert ever cost? GOOGLE AGAIN.

12. Why is 70 a weird number? HERE

14. How many burgers does McDonalds sell a second worldwide? HERE

15. If the population of the world spread across the USA , what area would we get each?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123? HERE

18. What is the world record for the greatest number of snorts in 10 seconds? HERE

19. How long would it take to grow your hair to your feet? HERE

20. 20. What number causes the greatest loss of money in the world? HERE

April 26, 2021

# POP UP ANSWERS … click on Q.

1. How many bristles in a toothbrush?

2. What % of Oxygen in the atmosphere comes from forests?

3. How loud was the loudest recorded human scream?

4. How many apples could kill an average-sized adult?

5. How many countries in Africa?

6. What happens when you Google this number, 241543903?

7. How many vertebrae in a giraffe’s neck

8. What is the highest recorded wind speed?

9. What is the world record high-jump height for a guinea pig?

10. How many times does England fit into Australia?

11. How much did the most expensive dessert ever cost?

12. Why is 70 a weird number?

14. How many burgers does McDonalds sell a second worldwide?

15. If the population of the world was spread evenly across the USA, what area would we get each in basketball court sections?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123?

18. What is the world record for the greatest number of snorts in 10 seconds?

19. How long would it take to grow your hair to your feet?

20. What number causes the greatest loss of money in the world?

1. How many bristles in a toothbrush? HERE

2. What % of Oxygen in the atmosphere comes from forests? HERE

3. 3. How loud was the loudest recorded human scream? GOOGLE IT!

4. How many apples could kill an average-sized adult? HERE

5. 5. How many countries in Africa? GOOGLE IT!

6. What happens when you Google this number: 241543903? HERE

7. How many vertebrae in a giraffe’s neck? HERE

8. What is the highest recorded wind speed? HERE and HERE

9. What is the world record high-jump height for a guinea pig? GOOGLE IT!

10. How many times does England fit into Australia? GOOGLE IT!

11. How much did the most expensive dessert ever cost? GOOGLE AGAIN.

12. Why is 70 a weird number? HERE

14. How many burgers does McDonalds sell a second worldwide? HERE

15. If the population of the world spread across the USA , what area would we get each?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123? HERE

18. What is the world record for the greatest number of snorts in 10 seconds? HERE

19. How long would it take to grow your hair to your feet? HERE

20. 20. What number causes the greatest loss of money in the world? HERE

October 4, 2020

## Check out the Maths!

The NHS reports that Australian Researchers Declan Patton and Andrew McIntosh, Uni of NSW, have conducted a study into brain and neck injuries of headbangers published in the British Medical Journal.

Concerts included as part of the study included Motörhead, Mötley Crüe, Skid Row, The Hell City Glamours, L.A. Guns, Ozzy Osbourne, Winger, Ratt, Whitesnake, and W.A.S.P.

Here’s Motorhead with a ‘nice’ moshpit.

140 BPM for Ace of Spades. Motorhead BPM range is 91 – 203

1. Head movement of more than 75o for an average heavy metal beat will cause head and neck injuries. This movement causes headache and dizziness.

2. Beats above 130 bpm (beats per minute) cause neck injury.

The average headbanging song has a tempo of about 146 beats per minute (bpm).

and according to Mathspig:

3. Being punched up in the mosh pit. Do you need maths for that conclusion?

## Researchers recommendations:

1. Reduce range of head and neck movement

2. Headbang to a  slower tempo

3. Wear a neck brace. (Isn’t a bad hair cut enough?)

How many headbeats per song of 5mins would a headbanger manage for the following song tempos?

Mathspigs excited. Look there is a band called Mutemath!!!!!!!! And here they are:

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## MATH JOKE 5: FUNNY FUNNY MATH BLOGS

February 11, 2019

You will find the background pattern here.

The absolute delight of is its craziness. Tyler Vigen is studying law at Harvard Law School, but he puts together the most ridiculous data you can imagine to show the correlation between eg. Per capita cheese consumption AND the number of people who died by getting tangled in their bed sheets, people who drowned after falling out of a fishing boat AND the marriage ration Kentucky. Of course, what Tyler is demonstrating is the basic maths principle, mathspiggies, that correlation is not causation. Here is one of his fabulous graphs:

Here is one graph from Spurious Correlati0ns (above) and the cover of Tyler’s New Book (below).

Math with Bad Drawings is run by Ben Orlin. He describes himself as ‘a math maths teacher in Birmingham, England. Before that, I taught in Oakland, California. I’ve taught (or am currently teaching!) every level of mathematics from ages 12 to 18.’

Not only is Ben’s humorous and fascinating take on maths interesting, his philosophy of life is worth a read too. e.g. We are all simultaneously experts and beginners, flaunting our talents while trying to cover our shortcomings the way an animal hides a wound.’

Here are two delightful examples of his maths with bad drawings:

Mathspig has written about the fabulous What if? blog before.

Randall Munroe is a pro web cartoonist, maths nut and maths guru who answers crazy hypothetical questions using maths. His home website is xkcd.

His TED lecture is here.

Randall offers this warning to his KXCD blog: this comic occasionally contains strong language (which may be unsuitable for children), unusual humor (which may be unsuitable for adults), and advanced mathematics (which may be unsuitable for liberal-arts majors). Of course, this makes his blog even more interesting. Maths, profanity and silly humour. Bring it on.

What would happen if I dug straight down, at a speed of 1 foot per second? What would kill me first?

Could a bird deliver a standard 20″ New York-style cheese pizza in a box? And if so, what kind of bird would it take?

Here is one example:

And his book What if? Can be found here.

The joy of Yan’s One Minute Math blog is his eclectic collection of topics from . Kow-Cheong Yan is a Singapore-based teacher, math consultant, math blogger and maths book author (Grade 1- 6).

The Lighter Side of Innumeracy gives an insight into maths incompetence and superstition in Singapore. It shows that charlatans can still prey on the innumerate. And Yan’s critique of Drill-and-Kill texts promoted in Singapore is refreshing in an age where politicians are forever calling for Back-to-basics teaching methods for maths.

But my favourite post on Yan’s blog is;

Mathematical Fiction is not optional. The number of novels using maths as a theme is inspiring especially with Yan adding a comment like this:

If you’re looking for math, women, sex, and back-stabbing, The Wild Numbers (Philibert Schogt) is a math melodrama unlikely to disappoint.

Mathjokes4mathyfolks is run by my good math(s) friend Patrick Vennebush, who lives in Virginia with his wife, twin boys and his Golden Retriever Remy. He loves math(s), laughing and telling jokes. He also runs online projects for National Council of Teachers of Mathematics.

Patrick believes math(s) should be fun and his blog includes jokes, problems and real-life challenges. His collection of jokes is published in a book and cover the gamete from cool to Dad-style jokes. Here’s an example:

Here are some examples from his blog:

Simultaneous Equations and Pizza

Angle of Opportunity looks at the angle a boy should pee in the toilet bowl without splatter fallout!!!!

Here is Math Fail on Facebook. And here is the Math Fail blog run by Self proclaimed Math Geek Mike, who explains that in addition to math fails, you will find a huge collection of geeky math jokes, interesting math facts, dumb math news, puzzles, speed math advice, math related comics, funny math pictures and more!! (It is not a Cheeseburger Fail blog.)

It is just a fun blog to explore. Here are some examples.

Who can be offended? They’re just numbers!!!!

Debbie O’Sullivan’s pinterest stream Math Puns/Jokes is worth a visit or two.

The Math Cartoons & Humor is pinterest run by Jiji the penguin. Actually, the penguin didn’t do it. Jiji the penguin is the mascot of STMath, a commercial education system that teaches math visually, and with minimum language, in the USA. Here are some examples of the humor:

Mashup Math is mind blowing from its math philosophy to its eclectic approach. Anthony Persico runs MashUp Math. He has taught in NY, VA, and CO and runs a YouTube channel. He believes in inclusive math education,that all students learn math differently and that the one-size-fits-all approach is ineffective. The worksheets, teacher resources supplied via mathmashup are FREE!

This is a screen shot of  his roller coaster youtube clip on gradient or slope!!!

Here is his Mathsmashup You Tube channel (above), which is designed to help visual learners.

Here are some amazing sports stats (above) from the LA Times. Basketball Legend Kobe Bryant’s 30,699th and final field goal came from 19 feet with 31 seconds left against the Utah Jazz. This picture below shows every one of the 30,699 goals he scored. AMAAAAAAZING!

Math Antics Youtube Channel is run by, Rob and Jeremy, who are both funny and clear in their maths clips, which are directed mainly at Middle school. The youtube lessons are free, but Rob and Jeremy do charge teachers US\$20 for a year of worksheets.

Their Math Antics website is here.

Base 10 video screen grab.

Order of Operations Screen grab.

## Trick 2: The Math Teacher Knows

August 4, 2018

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# The Math Teacher Knows Everything

## Awesome Math Mural

May 28, 2018

This math mural is on a high school wall, somewhere. It works because it has a street art vibe. Not a grade school math book look. That’s cool.

Why not do something like this for your school.

## Sasha a little dog with a BIG, BIG ID Number!

March 28, 2018

This exercise works best if for homework the middle school students count the digits in their own cell phone, passport, bill code or some other number. They don’t have to show the passport or bill. They just have to count the digits.

## Amazing Maths Clock

March 17, 2018

Albert Digital Mathematical clocks are fascinating.

You calculate the time using +, -, x and ÷ . Such fun and ideal for the math classroom.

Mathspig found the Albert Mathematical clock at the Horsham International Hotel (below).