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Diabolical Two Not Touch

September 19th, 2020

Regular CoverDiabolical Cover

Diabolical Two Not Touch is the latest addition to my Star Battle puzzle offerings on Amazon.

My original Two Not Touch book series contains puzzles which start at the same difficulty as my puzzles in The New York Times and then get increasingly more difficult. The three new diabolical books start where the previous books leave off, and continue raising the difficulty considerably higher.

Note that all of the puzzles in my Star Battle books can be solved without resorting to trial and error. This is not necessarily true of the free Star Battle puzzles published on my website, particular in the books numbered from 50 through 100. I originally included many puzzles I can not personally solve without trial and error as a way for me and others to help identify new solving strategies. Because of this, I find that many people start to really struggle around book # 45. In my new books, you will struggle, but you should never have to resort to guesswork. If a particular puzzle is stumping you, send me a snapshot showing your work in progress, and I’ll be happy to help you out.

These are challenging times we are living in, and I hope that these puzzles can provide you a healthy escape!

Your book purchases (and Amazon reviews) help pay for the costs of running my free website. Thank you so much for your support!

I get so Haunted that I fall in your dreams

August 31st, 2020

Why, hello there!

My name is Phil, and I’m going to be talking about a spooky new puzzle type in a moment, but I thought I’d take a moment to introduce myself first. You may have seen my name already associated with a couple of recent additions to the Krazydad oeuvre; after being in contact with Jim off and on over the course of a few years, helping a bit here and there with new puzzle types, our benevolent site-runner brought me on board earlier this year to help in a more official manner. Most of my work before this point was on behind-the-scenes stuff you aren’t likely to notice–improved page load speed, backend systems work, that sort of thing–but I led a lot of the work on this new puzzle type, and you’ll be seeing more of my efforts in the months and (hopefully) years to come, so I thought it was well past time to say hello.

If you have any questions about my credentials when it comes to puzzles, let me give you the briefest of anecdotes. When I was a wee lad, I had exactly two prized possessions. One was a copy of The Official Nintendo Player’s Guide:

My copy was much, much more beat up than this one.

…and the other was a big brown bag, nearly as large as my diminutive frame, chock-full of puzzle magazines from Dell and Penny Press that I had successfully wheedled family into buying me almost every time we went to the grocery store or corner shop. My mother threw away the contents of that bag in the mid-’90s, and if I’m perfectly honest I still haven’t quite forgiven her for that. (Or for the destruction of one of my 5.25″ floppies for Pool of Radiance, but that’s another story entirely…)

I miss their old tagline: Penny Press means Puzzle Pleasure!

But entirely too much about me. You’re here for the puzzles, right? And we’ve got an exciting new one for you:

See, I told you it was spooky. Spooky cute.

Haunted (sometimes known as Haunted Mirror Maze or Undead) is, well, a mirror maze puzzle. You’re trying to find the locations of ghosts, vampires, and zombies by peeking into the maze from the sides; each monster behaves differently depending on whether you’re seeing them in a mirror or not. The details can be found on the instructions page that fronts each booklet, but trust me when I say that it’s the sort of puzzle that follows the how the heck does this work? to oh, NEAT! arc perfectly. (Or, you know, don’t trust me, and find out for yourself!) The puzzle type was invented by Dave Miller of The Griddle, who has allowed us to use it with generous permission. Thanks, Dave!

Something new for this puzzle type is the heavy use of custom art, made for us by the incomparable Catherine Yi (@canowerms), which captures a certain coloring-book aesthetic that I absolutely adore:

Look at those adorable vampires. Just look at them.

We’re hoping that these puzzles will be a big hit with teachers and kids alike, along with those who are still kids at heart. The currently available puzzles are therefore intentionally skewed to the easier side of things, but don’t let that fool you: even simple puzzles can require surprisingly challenging logic!

You can dive into these spine-tingling puzzles right now for yourself, and we’d love to hear what you think of them! And thanks again to both Dave and Catherine for their critical work, without which we wouldn’t have this spooktacular variety for you to enjoy.

See you again soon, I hope!

(P.S. If you think the blog title looks suspiciously like a song lyric… you’re not wrong.)

Two Not Touch puzzles in the New York Times

April 20th, 2020

Starting Monday April 20th, 2020, Krazydad puzzles will appear in The New York Times, where they are being published in the print edition as Two Not Touch. This is part of a larger effort to expand the puzzle offerings in the Times to a full half-page, a much-needed resource in these challenging times.

I have been publishing this puzzle (which comes from the Netherlands) under the name Star Battle for several years. You’ll find many more of them, in 1-Star, 2-Star and 3-Star varieties, on the Printable Star Battle page. I also carry Interactive Star Battle puzzles which work nicely on phones, tablets, and computers alike. Warning: These puzzles are very addictive!

If you are new to this type of puzzle, you may find my introductory tutorial helpful.

If you can already solve the easiest ones, but are struggling with harder puzzles, check out my intermediate tutorial, and advanced tutorial.

The Times will be publishing an easy puzzle and a medium-difficulty puzzle every day from Monday through Saturday. These correspond roughly to book numbers 1-35 in my collections, which increase in difficulty from book #1 to book #100. Higher book numbers contain significantly more challenging puzzles than the ones in the paper, which might be just what you’re looking for.

Enjoy the puzzles!

Finding the Fun in Math at Home

March 30th, 2020

Editor’s note: Hi folks, meet Heather Moore, who I’ve been collaborating with on Pixidoku puzzles. Heather is a math teacher and has some great tips to offer for those of you who are looking for at-home learning activities for your kids. Take it away, Heather! — Jim

In the midst of a global crisis, I’ve been noticing some silver linings and surprising upsides.  This is not to downplay the seriousness of it all or dismiss any of the real loss and suffering in our world, but I feel it is important to take hold of the good things that can be found amidst all the uncertainty and struggle. 

Being stuck at home can be seen as a chance to spend more time with family.  Being unable to do some kinds of work can free up time for projects that otherwise get neglected.  And a break from math class can be an opportunity to play with math together.

I know, I know. The words “play” and “math” in the same sentence?  Hear me out.  In my world of teaching math to homeschoolers I find that the more playful I can make math, the better.  So today I want to share with you a couple ways I’ve been playing with math with my students this week.

The 11’s Game

Quick!  What’s 11 x 7?  If that was easy for you, it is probably because you know the rule for this pattern: 11, 22, 33, 44, 55,… Just repeat the digit you’re multiplying by.  This is cool by itself, especially for younger learners, but it gets better!

I introduce the 11’s game by showing off a little for my students. They have calculators in hand to check me.  I tell them, “Give me any two-digit number and I will multiply it by 11 in my head.” “43!” Someone calls out. “473” I respond immediately. “52”, “572!” and the inevitable “99” “1089!”

Once they are impressed, or at least intrigued, I inform them that with the use of a simple pattern they can learn to play the 11’s game just as fast as I can.

Check out the following multiples of 11. What do you notice?

The pattern is easier to see than it is to describe, but here’s one way to put it:  Take the digits of the multiplier and add them together.  Put the resulting digit in between the two original digits to create your three digit product.  So for 63 x 11 you add 6 + 3 to get 9 and nestle the 9 in between the 6 and the 3 to get 693.

Always start off practicing examples where the sum of the two digits of your multiplier is less than 10.  Then see if you can expand the rule to allow you to deal with cases where the sum is greater than 10.

All of my tutoring that is usually done in person has had to move online for now.  I find the change exhausting, but pulling this game out with one of my students had him literally shrieking with amazement and delight, giving our online tutoring session a much needed energy boost.

After enjoying the game in a purely playful spirit, I test the waters for some deeper mathematical exploration.  Some students will be intrigued enough by this trick that they will want to figure out why it works.  I try my best not to explain, but to instead encourage them to make sense of it for themselves.  It doesn’t need to happen all at once, and patience here is rewarded with the pure delight of genuine mathematical discovery.

The Game of Nim, or “Last Pebble”

The week after the schools in my area shut down, my family went out camping on family property for a week to get away from populated areas.  Even though I had my small dry erase boards with me and a Life of Fred math book, one of my favorite math games didn’t require any of those things.

One of the girls and I set about preparing for the game: We collected about 20 smallish pebbles and found a flat log to use as a playing surface.  When I’m in the classroom I use base 10 block unit cubes, but you can use coins, poker chips, dried beans or any other kind of small counter or token. 

The American mathematician Charles L. Bouton named the game ‘Nim’ in 1901, but it is an ancient game, no doubt played under many names, and I like to call it “Last Pebble”, “Last Coin”, or “Last Cube” depending on what we’re playing with.

To play, arrange your “pebbles” in three piles.  One player gets to set up the piles, choosing the number in each starting pile, and the other player gets to decide who goes first.  Players take turns removing some number of pebbles from one of the piles.  You are allowed to take an entire pile if you like.  You must take at least one pebble on your turn and you may not take pebbles from more than one pile on your turn. The player to take the last pebble wins.

When I’m playing with a new player I start off by trying to win about half the time.  If I’m able to win by taking the final pile, I always do so, but I often will make deliberate bad moves earlier in the game to give my new opponent opportunities to beat me.

Once a new player has caught on to some of the basic strategy, I offer “puzzle mode”.  We play once, with both of us trying our best to win.  Having worked out quite a bit of the ideal strategy, I usually win. When I do, I will have noticed an interesting position late in the game that could be used as an instructive puzzle. Usually it’s either a game state where I knew for sure I was going to win, or where I noticed they could have won with a different move than the one they made.  We return to this game state repeatedly, with the new player choosing whether to go first or second each time we replay it, until they can beat me at the puzzle.

A basic puzzle set up to try is three counters in the first pile, three in the second, and zero in the third.  Again, reset the puzzle each time the player loses and have them choose again whether to go first or second. Here are some other good puzzles I use: (2, 2, 4) (1, 2, 3) (1, 3, 5).

For a deeper challenge, my students and I will try to map out ideal strategies for each player and get to the point where we can look at any starting board and be able to tell if the first or second player will ultimately win, given perfect play from both players.

Thank you for for reading.  I hope you find these ideas useful and that they help bring a little mathematical silver lining into your world.

(More from Heather at

The Alexa Game

July 11th, 2019

The Alexa Game is a multiplayer game I made up in which the object is to correctly predict whether Alexa (or Siri or Google) can answer a question.


Players take turns being the Interrogator.

The Interrogator comes up with a question to ask Alexa, and makes a prediction as to whether Alexa will answer it correctly or not. The question should be written down so it can be repeated exactly.

The prediction is recorded, but not revealed to the other players until they have made their predictions.

The Interrogator reads his Alexa question to the other players without saying “Alexa”, so they can also predict the outcome.

Note: Anyone who says “Alexa”, except when directly addressing her, is deducted a point or must take a drink, or whatever.

Everyone writes down their prediction. At this point, all predictions may be shared.

Then the Interrogator says “Alexa…” and asks the question exactly as originally phrased. The players should decide whether Alexa’s response is correct. In general incorrect answers are ones where Alexa clearly misunderstood the meaning of the question, or bailed on answering it. It’s okay if Alexa reads from Wikipedia, if the reading contains the answer.

If the Interrogator guessed correctly, he gets a point for everyone who guessed incorrectly.

If the Interrogator guessed incorrectly, everyone who guessed correctly gets a point.

Note: If everyone’s prediction is in agreement, nobody will score. In this case you may optionally ask Alexa and award a point to Alexa if she defies everyone’s expectations.

The first person to reach 42 points wins.

My wife finds my scoring system too complex. She’s right. Her suggestion (which also helps prevents cheating) is to not have the Interrogator make a prediction. The Interrogator just forms the question and judges the predictions of everyone else. You score if you predict right, and the Interrogator doesn’t score that turn.

Mailbag Monday

January 21st, 2019

Dearest Krazy Dad,

I hope this message finds you well and that your new year is off to a wonderful start! I just made a small donation through PayPal and also wanted to write you a personal message. I was born and raised in the US and during my elementary school years in a “gifted” classroom, we started every day with logic puzzles. I will never forget the fun, challenge, or satisfaction of starting every day tackling a logic puzzle! I now live in India, where I started Kranti NGO, which empowers girls from Mumbai’s red-light areas to become agents of social change. We currently work with 20 girls, ages 13-23 who are daughters of sex workers, survivors of trafficking, or girls born and raised in Kamathipura, one of Asia’s most infamous red-light areas.

In the past five years, Kranti’s girls have: become the first girls from India’s red-light area to study abroad, received UN awards for their social justice work, given 25+ TEDx and other speeches around the world, and written, directed and performed their own play in front of 100K+ audience members. Their latest performance, at the world’s largest performing arts festival in 2017, was covered by BBC with over ten million views. In 2016 Kranti’s alternative school was named a Top 10 for the $1 million Global Teacher Prize, and three Kranti girls are currently studying in universities in Rome, Chicago, and Los Angeles.

Please watch the “Global Teacher Prize” video if you have a few minutes….it will give you an idea of how our curriculum works and why you are such a vital part of it. I’ve been using your worksheets at least 2-3 times a week ever since we started Kranti School in 2014. There are some girls in our home who are completely illiterate and have never been to a mainstream school, but they LOVE your puzzles. The variety of puzzles has really given the girls a chance to see how intelligent they are and that they do love learning…quite a feat for girls who grew up their whole lives hearing from their teachers that “a whore’s daughter can only be a whore.”

As we are an NGO and I do all of the fundraising for Kranti as well as teach school full time, I can’t afford much more than $20, but I will continue to make contributions every time we get an education grant. Your website saves me so much time every week and there’s no amount of money I could possible send you that would be adequate for the amount of energy, passion, and love for learning that you’ve single-handedly brought into our classroom. I hope you’ll take a minute today to appreciate and thank yourself for the thousands of lives you must be touching around the globe without even knowing it. Personally, I’ll just say you’ve made my life as a teacher significantly more fun and manageable!

Lots of love and gratitude,

Pants-rank: Comparing Apples, Oranges with Google Trends

May 18th, 2018

I was recently talking to another puzzle maven, and the subject of how I measure the demand for specific logic puzzles came up. I’m interested in puzzle demand because it helps inform the choices I make when I add new puzzles to the website. It occurred to me that my methods may not be as widely employed as I had assumed, and it might be worth sharing them. This technique is not just useful for measuring demand for puzzles, but I’ll use puzzles as an example.

If you’re interested in measuring demand, you probably know that Google has a free service called Google Trends which allows you to measure comparative search volume for multiple search terms. One can debate how much Google search-engine demand correlates to “actual” demand (whatever that is), but it seems to me like a reasonable quantifier that is likely correlated (and is simple and easy to obtain). For the rest of the article, I will often use the word “demand” as a placeholder for “Google Search Traffic”.

For example, here’s a chart comparing apples (blue) and oranges (red). Notice there’s a big bump on searches for Apples in the Fall, when they are presumably in season (or maybe people are buying iPhones? I don’t know…).

If I extend the chart over a 5 year period, I can see that the demand for apples and oranges follows a cyclical seasonal pattern – a common phenomenon with many search terms. Apples are popular in the Fall, and oranges in the Winter.

As you can see from these charts, Google doesn’t reveal actual search volume, it only shows relative search volume, which it always maps to a scale from 0-100. Because the numbers are presented as rounded integers, it is not particularly helpful to compare two search terms in which one has 100 times more traffic, because the smaller item will get scaled down to the 0-1 range, which isn’t very informative. For example, if I compare Sudoku (blue) with Slitherink (red), I can’t really learn much about Slitherlink, other than that its search traffic is < 1% of Sudoku, which doesn’t tell me much.

It would be cool if there was a way to measure relative demand for a group of items where several magnitudes separate the most desired from the least desired items. As it happens, there is.

So my “one weird trick” is to use a small stable search term as a baseline (I call this kind of system “pants-rank” for reasons that will soon be clear). Recently, I’ve been using Futoshiki, a relatively unpopular Japanese logic puzzle, as a baseline for measuring search demand for other logic puzzles. So I measure puzzle demand in “F-Units” (or futoshikis, in which the demand for Futoshiki is normalized to 1. So for measuring puzzle demand, Futoshikis are my “inch”.

Here’s the demand for Futoshiki (blue) and Slitherlink (red), two puzzles with similar demand.

On the real chart, if you hover over the “average” bars on the left, you get two integers (again scaled to 0-100) which indicate that Futoshiki has an average relative demand of 61 and Slitherlink has 38.

So the F-units of Futoshiki are 1 (by definition) and the F-units of Slitherlink are 38/61 (or .62). I can then work my way up to successively more popular puzzles, and work out the F-units for Kakuro (5.38) and Kenken (8.77). Eventually the scaling for Futoshiki becomes too small, so instead I use a known puzzle whose F-Units I’ve already determined as a baseline for measuring more popular puzzles like Sudoku and Crosswords. Using this technique, I’ve worked out that Sudoku demand is at approximately 395 F-units and Crosswords are at a whopping 857 F-units. Here’s a table showing F-Units for a number of puzzles I’m interested in.

For what it’s worth, the demand indicated by Google Trends does not necessarily match the demand for puzzles that I see on my website. This is because other factors come into play, like how well I’m ranked on Search Engines, puzzle scarcity, and other intangibles. For example, Suguru is a very popular puzzle on my site, for some reason (in the KenKen/Kakuro range), but doesn’t seem to be hugely popular on Google.

In the past I’ve used this same trick to measure many other non-puzzly things. When I first did this, I used “pants” as my baseline (another fairly stable search term that has a slight bump in the late Fall preceding Christmas), and used them to measure celebrity popularity in “P-Units” (Pants-units). Hence “pants-rank”. “Chairs” is actually a more stable unit as it is less prone to seasonal fluctuations. Here, for example, is Lady Gaga (blue) compared to pants (red) and chairs (yellow) for the past 5 years. The spikes likely correspond to album releases and TV appearances.

I can see that Lady Gaga has been averaging 0.43 P-units and 1.11 C-units over this period (and I also happen to know she is about 435 Futoshikis – about Sudoku level, but not quite Crossword level popularity. But who is, really?

Star Battle: Oh my gosh they’re full of stars!

May 12th, 2018

The latest addition to my puzzle menagerie is STAR BATTLE, a newish (well, 21st century, at least) puzzle that was originally created by Hans Eendebak for the 2003 World Puzzle Championship.

If you like Suguru you will probably find these fairly easy to get into, as they are somewhat similar. But instead of placing numbers, you are placing stars – a fixed number of stars in each row, column and bolded region. Like Suguru, the stars may not be adjacent to each other, not even diagonally.

I find these very aesthetically pleasing. I think it has something to do with the stars. If you were placing sturgeon or aardvarks into the puzzle, I don’t think I’d like it as much, but honestly, you can use any symbol you like.

I am currently carrying two versions of this puzzle: 8×8 puzzles that have 1-star in each container, and 10×10 puzzles that have 2-stars. The 10×10 2-star puzzles are significantly harder than the 8x8s.

If you’re new to the puzzles, and find them difficult to get started, then you might find this tutorial I wrote helpful. Or not. Let me know.

Enjoy the puzzles!


Binox Puzzles are here!

April 30th, 2018

I get a lot of requests for new puzzle varieties (all different kinds) but I started getting a lot of requests for one particular puzzle the past couple of years. I didn’t notice at first, because the different requesters were using different names: Binairo, Tic-tac-logic, Binoxxo, Binario, (I later discovered it is also called Takuzo, Binary Puzzle, Bineiro, Brain Snacks, Unruly, Zinero and Zernero). All names for the same curiously addictive puzzle, sometimes filled with Xs and Os, sometimes with 1s and 0s. Regardless of the symbols used, the rules are the same:

  1. Fill the puzzle with two symbols (like Xs and Os).
  2. Horizontally and vertically, there can be no more than 2 of the same symbol touching.
  3. There are an equal number of Xs and Os in each row and column.
  4. Each row must be unique. Each column must be unique.

Today I am introducing this fun simple puzzle to my collection. I am calling my version Binox — none of the other names seems to be used by more than one publisher, and who am I to break tradition? My version is available in 5 sizes ranging 6×6 to 14×14. I offer four different difficulty levels (Easy, Novice, Challenging and Toughest).

You’ll find both printable Binox puzzles and interactive Binox puzzles here at Krazydad. The interactive puzzles are available in both the X/O format and the 1/0 format (use the gear-icon to change it). For the moment, I’m offering the print puzzles only in X/O, however, if this omission is keeping you up at night, let me know, and I’ll add a duplicate set with 1s and 0s.


Enjoy the puzzles!

Celebrity Prayer Candle Rankings, 2018

March 2nd, 2018

Celebrity rankings, based on the number of prayer candles for sale on Etsy, 2018 EDITION

Tupac Shakur

Kanye West

David Bowie
Princess Leia / Carrie Fisher

Dolly Parton
Harry Styles

Britney Spears
Notorious Biggy Smalls
Lana Del Ray

Kim Kardashian

Leo DiCaprio
Snoop Dogg
Lady Gaga
Kendrick Lamar
Bill Murray

Bernie Sanders
Donald Trump

Hillary Clinton
James Franco
Chance the Rapper

Cardi B
Kurt Cobain
Jimmy Fallon
Justin Trudeau