Mathematical Colors and Codes, Episode Six — Binary Codes and Booktalks

Episode Six of Mathematical Colors and Codes, my Virtual Program Series for the library is up!

Episode Six now looks at the Base Two number system, binary, and puts that into a code. To finish up the series, I talk about more books that play with mathematical ideas.

Like all the other videos in the series, this one has a downloadable coloring page. This one has a chart for a Binary Code.

Here’s this week’s video:

Here are links to the entire Mathematical Colors and Codes series:

Mathematical Colors and Codes, Episode Five — More Codes with Nondecimal Bases

Episode Five of Mathematical Colors and Codes, my Virtual Program Series for the library is up!

Episode Five looks at more ways you can use nondecimal bases to make coded messages.

This video, like all the others has a downloadable coloring page. This one has charts for a Base Six Code and a Base Five Code.

Here’s this week’s video:

Here are links to the entire Mathematical Colors and Codes series:

Mathematical Colors and Codes, Episode Four — Color Codes with Nondecimal Bases

Episode Four of Mathematical Colors and Codes, my Virtual Program Series for the library is up!

Episode Four now takes the Nondecimal Base systems we talked about in Episode Three and uses them to make coded messages.

This video, like all the others has a downloadable coloring page. This one has a chart for choosing your own colors and making your own coded messages with nondecimal bases.

Here’s this week’s video:

Here are links to the entire Mathematical Colors and Codes series:

Episode One, Prime Factorization
Episode Two, Prime Factorization Codes
Episode Three, Nondecimal Bases
Episode Four, Color Codes with Nondecimal Bases
Episode Five, More Codes with Nondecimal Bases
Episode Six, Binary Codes and Booktalks

Mathematical Colors and Codes, Episode Three – Nondecimal Bases

Episode Three of Mathematical Colors and Codes, my Virtual Program Series for the library is up!

Episode Three is the longest episode. (They do get shorter!) I talk about various bases and look at them together with prime factorization color charts. I’m hoping it gives kids a feel for how other bases work.

This video, like all the others has a downloadable coloring page. [Right now this is the incorrect link. I’ll fix it with the correct one tonight.] This one will let you see for yourself how prime factorization patterns change in other bases, as well as giving you a feel for how counting works in other bases.

Here’s this week’s video:

Here are links to the entire Mathematical Colors and Codes series:

Mathematical Colors and Codes, Episode Two: Prime Factorization Codes

Episode Two of my Mathematical Virtual Program Series is up!

In Episode Two, I talk more about prime factorization and ways to show it with colors. Then I show how you can use that idea to make a prime factorization code.

Here’s this week’s video:

Here are links to the entire Mathematical Colors and Codes series:

Mathematical Colors and Codes

My Mathematical Virtual Program Series is up!

This program is a series of six videos with downloadable coloring pages. New videos will post on Mondays at 3 pm.

They will show kids how to use math to make colorful patterns and coded messages, learning about prime factorization and nondecimal bases along the way.

They’ll post on Fairfax County Public Library’s website, but I’ll post them here as well.

These will be best for kids who already understand multiplication.

And this week, Episode One is up! It covers Prime Factorization, with an explanation of my Prime Factorization Sweater. And it explains how you can color your own chart, using this downloadable coloring page.

I hope you enjoy it!

Here are links to the entire Mathematical Colors and Codes series:

Baby Martin’s Normal Distribution Blanket

I finished a Normal Distribution Blanket for my new little nephew, Martin!

This is the same idea I used to make a blanket for my little niece Kara, but that one was in shades of pink.

Unfortunately, I didn’t get to try the blanket out on Martin in person, but I gave the blanket to my brother, his Daddy, to give to Martin.

Here’s the method. The blanket is simply a series of entrelac squares (diamonds). I knit one row of squares in one direction, then pick up stitches along an edge to make another row of squares in the other direction, and knit back and forth, with squares in between the squares of the previous row. The nice thing about it is that each square is knitted completely before you move on to the next square, so you don’t have to carry different yarns across the row.

I used Tahki’s Cotton Classic yarn because they have many, many shades, and I already had some spare yarn from previous projects — Cotton Classic is my go-to yarn for mathematical knitting projects. All those shades!

Choosing the shade of the yarn for each square is where the normal distribution math comes in.

I simply generated a list of random numbers from the normal distribution (using google to find a random number generator). The normal distribution is a bell-shaped curve, so I’ll get more numbers in the middle of the distribution.

I took five shades of purple and labeled them A through E. For numbers in the middle, I used lighter colors, and got gradually darker as the numbers went out from the middle. For numbers that were outliers, I added a sparkly silver yarn to color E — because it’s the outliers that make life beautiful. And aren’t we all outliers in some way?

Here’s the specific math for those who care or who want to reproduce the method:

I set the middle of the distribution as zero, with a standard deviation of one. For positive numbers, I did a garter stitch square, and for negative numbers I did a seed stitch square.

Here’s how I assigned the colors:
Color A: Absolute values between 0 and 0.5
Color B: Absolute values between 0.5 and 1.0
Color C: Absolute values between 1.0 and 1.5
Color D: Absolute values between 1.5 and 2.0
Color E (with sparkles!): Absolute values greater than 2.0

Now, I didn’t have a perfect progression from light to dark. Color D was the reddish purple. And it’s not obvious in the photo that E was definitely much darker than Color C. Making D the reddish purple seemed to get the weight of the colors to progress better. I should have done a close-up of the sparkles, but didn’t think of it this time.

One thing I like about visualizing a normal distribution this way is you get a more visceral feel for how the colors are distributed than just looking at the curve. There are almost as many B-colored squares as A squares — and there really are a lot of outliers. (It might be a better representation if I had gone out one more level and used six colors. But this worked.)

I’ve also done scarves this way (with stripes) and of course the pink blanket. And it always comes out pleasing to the eye. The normal distribution really is the way so much of nature is arranged.

You can find links to explanations of all my mathematical knitting at sonderbooks.com/sonderknitting!

Review of Knitting Pearls, edited by Ann Hood

Knitting Pearls

edited by Ann Hood

W. W. Norton & Company, 2016. 260 pages.

This is a book of essays about knitting, and the essays are written by twenty-seven distinguished writers. Not all of the writers are knitters, but all of the writers do have something interesting to say about knitting. Maybe they had a relative who knitted for them. Maybe there’s a particular knitted object that starts their musings.

I took a long time to read this book. But that’s the beauty of essays – you can read one at a time and come away smiling. Or just musing about life.

Here’s a paragraph from the introduction, with the editor telling us what to expect. (There are several more paragraphs, so this is just a taste.)

And speaking of swooning, here’s what you have to look forward to when you read Knitting Pearls. Like me, some of the contributors knit their way through adversity. Caroline Leavitt’s first husband asked her to make him a sweater with brontosauruses on it, but as she knit the marriage began to crumble. Lily King’s daughter knit a hat during their year living in Italy, which eased her homesickness. Cynthia Chinelly knits to help her escape the worry she has for her son. Melissa Coleman hoped that knitting a sweater for everyone in her family would remove the curse of divorce. An on-again, off-again knitter, Robin Romm returned to it when her mother was dying, and now knits as she waits for a baby. Back at Ithaca College in the 1970s, Bill Roorbach joined the knitting club to get over his broken heart – and to meet girls.

If you love knitting, you’re going to enjoy this book.

wwnorton.com

Find this review on Sonderbooks at: www.sonderbooks.com/Nonfiction/knitting_pearls.html

Disclosure: I am an Amazon Affiliate, and will earn a small percentage if you order a book on Amazon after clicking through from my site.

Source: This review is based on a library book from Fairfax County Public Library.

Disclaimer: I am a professional librarian, but I maintain my website and blogs on my own time. The views expressed are solely my own, and in no way represent the official views of my employer or of any committee or group of which I am part.

What did you think of this book?

Review of How to Knit a Monster, by Annemarie van Haeringen

How to Knit a Monster

by Annemarie van Haeringen

Clarion Books, 2018. First published in the Netherlands in 2014. 32 pages.
Starred Review

This book was first published in the Netherlands in 2014. It is not eligible for the Newbery. I should not have taken time to read it. On top of that, I have a pet peeve against books that show someone knitting a complete sweater in less than a month – and this book does much, much worse than that.

And yet, all that said — I did read this book today and was enchanted. The speedy knitting is all part of this amazing goat’s magic.

Here’s how the book begins:

Greta is a goat, a white goat. When she goes outdoors in wintertime, she’s almost invisible.

She is a very, very good knitter. She knits socks for everyone she knows and for many she doesn’t know.

Today Greta decides to knit something different. How about a whole goat?

She tries a little one first.

Click, click, clickety click go her knitting needles, and before long a little goat slides off her needle.

What fun! Greta knits more little goats so they can play together.

The illustration here shows several goats, with splashes of color in various places and trailing yarn. They are cavorting about happily, with two butting heads.

But then “mean Mrs. Sheep” comes by and badmouths Greta’s knitting.

Greta is upset. She isn’t watching her knitting.

We’ll see who knits the fastest, Greta thinks angrily. Clickclickclicketyclick go her needles.

Mrs. Sheep keeps talking. Greta still isn’t watching her knitting.

She decides it’s finished and ends it off . . .

. . . and a wolf jumps off the needle!

The little goats run away.

Well, the wolf deals with Mrs. Sheep. Greta hides just in time – in a closet with more yarn, thankfully. Because next she knits a tiger to catch the wolf. But the tiger is hungry….

And what is especially lovely about this book is how it all comes together – or, um, apart – at the end. (No one is permanently damaged, but Mrs. Sheep does learn a lesson.) Though Greta does need to learn to pay more attention to what she knits!

So this knitter, for one, truly appreciates the genius of Greta, whose knitting is just plain magical. Besides this being a really fun story to tell, all the better to convince children that knitters have magical powers, right?

hmhco.com

Find this review on Sonderbooks at: www.sonderbooks.com/Picture_Books/how_to_knit_a_monster.html

Disclosure: I am an Amazon Affiliate, and will earn a small percentage if you order a book on Amazon after clicking through from my site.

Source: This review is based on a library book from Fairfax County Public Library.

Disclaimer: I am a professional librarian, but I maintain my website and blogs on my own time. The views expressed are solely my own, and in no way represent the official views of my employer or of any committee or group of which I am part.

What did you think of this book?

Outliers Blanket!

I did some more mathematical knitting for my new niece Kara!

For this blanket, I used the entrelac squares format I’d used in the prime factorization blankets, but the concept I’d used in the outliers scarves.

I took numbers from a normal distribution, using the generator at random.org.

Then I chose five colors in shades of pink, since we already knew Kara would be a girl.

For numbers in the middle of the curve (part of the bell), I used lighter colors. (z-scores of -0.5 to 0.5) For every half a z-score, I used a darker color. For the true outliers, numbers with a z-score bigger than 2 (or less than -2), I used the darkest color – but I added a sparkly silver thread.

This is to show that the outliers are what make life beautiful.

And aren’t we all outliers in some way or other?

I also distinguished between negative and positive numbers by using garter stitch for positive numbers and seed stitch for negative numbers.

It was a huge treat to try out the blanket with Kara. It wasn’t as big as I originally intended, but with random numbers I was able to stop when I decided it was done.

Kara’s big sister Zoe really enjoyed the blanket, too!