The Entire Series in All Its Glory

The entire Enchanted Kitchen series: A Witch's Kitchen, A Pixie's Promise, and An Elf's Equations

Well, keeping up with blog posts while coping with a stay-at-home order, restless kids, and no Internet connection for two days has made this a very interesting week. It also scotched all my clever plans for live Q&A sessions and clever activities. But there is a silver lining! Fabulous photographer Leah Cirker-Stark took this fantastic photo of my books for me. These are hard times for a photographer who usually does portraits, but if you have products that need to look fabulous, I highly recommend her work!

Most kids seem to be settling into a good schoolwork routine, so I’m going to stop posting activities, hunker down and get back to writing A Wizard’s Warning. I hope you all find great, fun, creative things to do at home, and that you all stay safe and well.

What to Do When You Have No Internet

We just regained internet access, so I’ve had no time to put together a blog post. Wrangling WordPress on your phone is nearly impossible! Also, our access is severely limited, and there are other people on our network who need the bandwidth for work and school, so I’m afraid I will not be doing a live Q&A tomorrow as planned. If you post questions in the comments below, I’ll do my best to write up the answers and post them tomorrow.
 
Sorry, everyone. Life is so crazy right now!!! Hope you are holding up well and still have your internet access! Meanwhile, if you’re wondering what we get up to with limited internet, this is our planned activity for this afternoon. Kids, please get an adult to help you do this. Stirring hot liquids on the stove is tricky, but it is SUCH a cool experiment.

Chocolate Fondue

Hi, everyone! Our internet is down due to a manhole fire somewhere in Boston, and we have no idea when it will come up again. So rather than doing my planned post on Scandinavian food, I’m just going to post a quick and yummy fondue recipe. It’s easy to make and has the advantage that you can dip whatever you have handy in it: fruit, pound cake, brownies, whatever won’t fall apart when you dip it.

1/3 cup whipping cream
1-1/2 teaspoons (packed) grated orange peel
8 ounces bittersweet (not unsweetened) or semisweet chocolate, finely chopped
3 tablespoons Grand Marnier or other orange liqueur

Bring whipping cream and grated orange peel to simmer in heavy medium saucepan. Reduce heat to low. Add chopped chocolate and 1 tablespoon Grand Marnier; whisk until mixture is smooth. Remove fondue from heat and blend in remaining 2 tablespoons Grand Marnier. Transfer fondue to a fondue pot. Serve with cake pieces and fruit for dipping.

Note that you can play with this recipe A LOT as long as you keep the proportions roughly the same. For example, my family prefers milk chocolate, so I use that instead of bittersweet chocolate (even though I like that better). You can use other flavored liqueurs, such as kirschwasser or amaretto or brandy. But unlike cheese fondue, you don’t actually need alcohol for chocolate fondue, so you can leave it out altogether and just add flavorings as you prefer.

You can even make it in the microwave!

I’m making fondue this evening. Hopefully, I’ll be able to update this post with photos once our Internet connectivity comes back.

Create Your Own Maze!

A circular maze

Image by PublicDomainPictures from Pixabay 

What makes something a maze?

Google Dictionary says that a maze is “a network of paths and hedges designed as a puzzle through which one has to find a way.” Similarly, a labyrinth is “a complicated irregular network of passages or paths in which it is difficult to find one’s way; a maze.” It’s a place meant to confuse you, a place where you’re meant to get lost. And the odd thing about it is, it’s fun. Have you ever been in a corn maze? How long did it take you to find your way out?

Mazes show up in mythology and folklore a lot. The most famous one is the labyrinth created by Daedalus for the Minotaur on the Greek island of Crete. Mazes also show up throughout the world, including Scandinavia.

They’re made of stone or hedges or just mounds of earth. They’re cut into crops or turf. They’re carved on stone, painted on walls, inlaid in floor mosaics, minted on coins, woven into cloth. Why are we so fascinated by mazes?

Well, if you’ve ever gotten lost in a store, or been frustrated driving through a city with lots of one-way streets, or lost your bearings while hiking in the woods, I’m sure you found yourself wishing there was an easy way to find your way out, short of scattering breadcrumbs like Hansel and Gretel.

The nice thing about mazes is that they follow rules, and if you know the rules, you can use them to get out. All of the mazes shown above can be solved using the right-hand rule (which is also a rule that you use in physics in a very different context). As you enter the maze, put your right hand on the wall. Keep following the wall. Since those mazes are one continuous line, you will eventually end up back at the entrance. This works with just about any maze that has an outer boundary, including corn mazes. It’s the long way around, certainly, since you’ll end up walking every single pathway in the maze, but it’ll get you there.

But what if the rules are a little different? In An Elf’s Equations, I have three mazes. The first, in the Sylvan Vale, is a maze that you can’t solve without knowing the Fibonacci sequence (or someone tells you the sequence of steps to take). The second maze, around the World Tree in Vanaheim, is a very logical, squared-off maze full of right angles and dead ends. The right-hand rule would work just fine in there, but it’s straightforward enough that you’d likely be able to walk through it easily.

And then there’s the maze of Pthagor, the math dragon. It looks so simple at first.

A deceptively easy maze

You could just walk right through this, right? Ah, but there’s a catch, as Sagara and her friends discover:

At the mouth of the cavern, they found a sign printed in several different languages, including Vanir runes, Dragon script, Canto, English, and several more they did not recognize. It read:

          To go forward, turn only to the right.

“What does that mean?” Petunia asked. “If it’s a riddle, I don’t get it.”

“I think it’s instructions,” Max replied.

Cretacia snorted. “And what if we don’t go right?”

“One way to find out,” Sagara said, and she strode into the cavern.

Before her, laid out on the smooth floor, a maze had been marked out in faintly glowing paint. At first, she thought it was a simple square maze, like the one in the Vanir garden of the World Tree, but then she looked again. From the entrance, paths went left, straight and right. They branched and turned. About fifty feet away, Sagara could see the exit, leading deeper into the cavern.

“Ha!” Cretacia yelled. “Easy!” She ran straight into the maze, heading for the exit, but when she crossed one of the painted lines, she disappeared.

“Cretacia!” Millie squealed.

“Great horny toad warts!” Cretacia said behind her. “That was really weird. One second, I was in there, and the next second, I was back out here. I wonder what happens if I turn left?”

“No, wait,” Sagara said, but Cretacia had already run into the maze and took the first left turn. Again, she disappeared.

“Hey!” came her voice from above. “How do I get down from here?”

Sagara stepped back from the cavern mouth and found Cretacia sitting on the bulbous tip of the troll’s nose.

— pp. 233-4

A map of a logic maze outside the Tekniska Museet in Stockholm.I based this maze on one I encountered outside the Tekniska Museet in Stockholm. It’s a tricky maze because it has different rules. Can you find your way through it? The solution to Pthagor’s maze is in An Elf’s Equations.

Now here’s the activity: what other rules can you change to make a maze more tricky? Maybe you can only turn if you can’t go straight any more, or you have to turn if you can, or you have to jump over things. Try making a maze of your own with different rules! Can you make something that looks simple but is actually hard to get through? If you do, take a picture and share it with me either here or on my Facebook page. I’d love to see your creations!

And if you’re wondering what that troll’s nose looked like, here’s a troll I found under a bridge in Seattle (well after I’d written this scene!) who was friendly and obliged me when I asked for a selfie with him.

Troll sculpture under a bridge in Seattle

Scandinavian Inspirations and Making Runes

The view from our cottage window on an island in Sweden

[Note: this is a longish post. If you want to skip straight to the activity, scroll down to the bottom and look for the runes.]

I was stuck.

I’d turned in A Pixie’s Promise to my publisher in May 2018 and had intended to finish up An Elf’s Equations by August 2018, but it was July already, and I’d barely written anything. I had thought this would be easy. After all, it was already half-written.

An Elf’s Equations was originally the second half of A Pixie’s Promise, but the fabulous Corie Weaver at Dreaming Robot Press thought that there was entirely too much going on in A Pixie’s Promise and, furthermore, that for the second half of the book, Sagara was really the focal character. She wanted me to split the two plotlines into two books and make Sagara the protagonist. After much groaning and complaining, I agreed, and it took me only three months to expand and reshape A Pixie’s Promise into a much more fully realized story focused firmly on Petunia. So I expected that it would take me about the same amount of time to finish up An Elf’s Equations. Right?

Wrong. Terribly, terribly wrong. First, I couldn’t just change who was speaking from Petunia to Sagara, because Sagara wouldn’t say the same things Petunia does (far fewer bad jokes, much more sarcasm). And I couldn’t just have Sagara do the things I’d had Petunia do, not least because Sagara isn’t six inches tall. She’d make different decisions, come up with different solutions. Second, I hadn’t done all the character work that I’d done for Petunia. I had a vague idea of her background, I knew that her mother had been exiled to the Logical Realm, and that Sagara really didn’t get along with her grandmother. And I knew that Sagara was fascinated by math. But why? What drove Sagara? And how would she end up leading the expedition to Vanaheim to save her friend Thea?

The more I tried to just gloss over the differences, the more the story unraveled on me, until I was utterly lost and deeply despondent that I would never get the novel done.

And then, something magical happened.

My family and I went to Sweden and Finland to visit my husband’s family and give our daughters some sense of their cultural heritage. I’m also 1/16th Swedish, thanks to a great-great-grandmother who emigrated from Malmö. When we arrived in Gothenburg in the middle of July, we went directly to an island on Lake Mjörn. Sweden was experiencing a terrible drought that summer. Forest fires raged in the north of the country, though quite far from us. The water level in the lake had dropped so much that we had to move the dock to keep the motorboats and sailboat from scraping bottom. And the leaves on the birch trees were turning yellow and dropping everywhere.

One night, around 3 AM local time, I awoke, jet-lagged and disoriented and needing to use the outhouse. A single solar panel provides all the electricity for the island, and that meant no power at night. I had a flashlight, but there was a beautiful full moon. It was easy to find my way from our little cottage to the outhouse because the path there was strewn with yellow leaves, which practically glowed in the moonlight. And as I walked, I imagined Sagara, riding her deer on the Path in the Enchanted Forest, following her grandmother home after the trial of Cretacia. I imagined all the emotion boiling up within her as she herself remembered running through the Sylvan Vale in the moonlight to the trial of her mother. And I started to hear her talking to her grandmother, angrily, blaming, and so very hurt and lonely.

I grabbed my laptop and wrote until dawn was beginning to lighten up the horizon and my laptop’s battery had completely run out. I’d just banged out the whole of chapter two, and I went back to my bed with a smile on my face.

Scandinavia inspired me in many other ways during that trip. Here’s a photo album I put together of some of the things that found their way into An Elf’s Equations.

A runestone at SkansenOne of the things that had fascinated me on previous trips as well as this one were the runestones we often came across. Viking runes are an ancient writing system, an alphabet made entirely of trees. They were used throughout Scandinavia and also show up in the British Isles and Ireland. Robert Graves, who was a historian as well as the author of Count Belisarius and Hercules, My Shipmate, wrote about the fabled battle of the trees. Taken literally, it sounds as if two bards used magic to call up entire forests to do battle. In fact, it was a metaphor for a poetry competition, and the trees doing battle were runes upon parchment. Each rune represents a tree as well as a single sound.

Here are a few resources where you can learn more about Viking runes and runestones:

In preparation for An Elf’s Equations, I modified the standard runic alphabet for the Vanir. Vanaheim, the Realm that Sagara and her friends travel to, is based upon a scrap of Norse mythology in which the universe is composed of nine worlds or realms, all connected by the World Tree. We live in Midgard, the Norse gods live in Asgard (as you’ve seen in the Avengers movies). Those gods were called the Aesir, but they had cousins in another realm, the Vanir, who lived in the realm of Vanaheim. All that remains of the myths about the Vanir is that they specialized in nature magic, which I interpreted to mean elemental magic, and that the goddess Freya/Freja/Frigga was originally a Vanir.

Cretacia is half Vanir, which is one of the reasons she’s placed under geas to retrieve Thea from Vanaheim at the end of A Pixie’s Promise. Her father is a high-ranking Vanir and she speaks the language. Cretacia also happens to be dyslexic, which means she has some trouble reading and thinks she’s terribly stupid. But her father Ljot (that’s pronounced Lee-OHT) explains to her that all Vanir have trouble reading, which is why they invented a magical language that is easy to read.

I had heard about fonts that are easier for dyslexics to read. There’s some debate about whether this actually works, but I have a friend who swears by it. Whether it works or not, I was intrigued by the idea, and I thought, well, if you have magic, couldn’t you make an alphabet that dyslexics can read easily? So I modified the runic alphabet, making all the runes look the same forwards and backwards — no mistaking “b” for “d” in this language. Here’s what I came up with:

Vanir runes created for An Elf's Equations

Can you find the runes to open the Vanaheim portal on the cover of An Elf’s Equations?Book Cover for An Elf's Equations

For those of you who enjoyed creating secret messages last week, you can now write secret message using my runic alphabet.Note that there are no runes for Q or V. In many Northern European languages, W and V are almost interchangeable. And for Q, I recommend using CW together. The Vanir Runes also have runes for two sounds that are represented by multiple letters in English: NG and TH. And the rune for Magic has no corresponding letter. That’s because it’s not something that’s spoken aloud, it just indicates the need to use magic.

Now that you’ve seen how easy it is to create an alphabet, why don’t you try creating one yourself? If you do, take a photo and share it in the comments here or on my Facebook page. Enjoy!

Codes and Secret Messages

A barcodeOne of the fun things you can do with numbers is create codes. Codes are ways of organizing information in different, useful ways. In one sense, the Fibonacci sequence is a code that nature uses to create the best spacing between things. If you flip over An Elf’s Equations, you’ll find a barcode on the back. Bookstores use barcodes as a quick and easy way for their computers to identify books. And codes can be used to keep information secret and safe.

But a code doesn’t have to be very complicated to work well. Here’s a very simple code that borrows its complexity from other objects. If you and a friend want to send each other secret messages, all you need is two copies of the same edition of a book. Write your message, then look through the book for all the words of the message. Then write down just three numbers to encode the message: the page number, the line number, and the number of the word within that line. For example, the word “Cretacia” appears on page 75, line 5, word 6. Go check it out!

This kind of code is called a book cipher. To make the code even harder to crack, people write the location as just the three numbers. So “Cretacia” above would be (75, 5, 6). The word “Author” appears on page 311, line 1, word 3, or (311, 1, 3).

Got it? Okay, then I have a secret message for you, and you can only decode it if you have a copy of An Elf’s Equations. Ready?

(74, 4, 7) (151, 21, 2) (261, 12, 2) (108, 11, 4) (245, 11, 8): (48, 28, 6) (48, 9, 4) (176, 14, 4) (61, 20, 7) (79, 4, 1) (63, 23, 9) (212, 17, 1) (287, 13, 5) (207, 7, 8) (214, 4, 5)? “(56, 24, 1) (65, 7, 8).”

Did you figure it out? Don’t post it in the comments! Let other people figure it out for themselves. However, feel free to create your own secret messages and post those, either here or on my Facebook post about secret messages. And you can use this method to send secret messages to your friends, as long as you each have an identical copy of the same book. I recommend that you choose a book with a broad vocabulary. That way, you’ll have lots of different words to choose from.

One thing I’m curious about. I actually don’t have an eBook copy of An Elf’s Equations, so I don’t know if the pages, lines, and words fall in the same places. Could someone with an eBook version check? If it turns out to be complete gibberish, go ahead and post it in the comments, just to show how horribly wrong a code can go!

Tomorrow, I’ll be doing a live question and answer session. It’s much easier for me to answer questions if I have them in advance, so please post your questions in the comments either here or on Facebook, and I’ll do my best to answer them. Thanks!