Reading the Comics, December 9, 2019: It’s A Slow Week Edition, Part I


Comic Strip Master Command decided to respect my need for a writing break. At least a break around here. So here’s the first half of last week’s comic strips that mention mathematics. None of them get into material substantial enough that I feel justified including pictures. Some of them are even repeats, at least to my Reading the Comics essays.

Richard Thompson’s Richard’s Poor Almanac for the 7th reprints the part of the Christmas Tree guide with the Platonic Fir. It’s drawn as a geometric illustration. I’ve discussed this before.

Ed Allison’s Unstrange Phenomena for the 8th riffs on mathematics-formula rules of thumb. Here, by presenting a complicated expression for the Woolly Bear Caterpillar’s judgement.

Neil Kohney’s The Other End for the 9th uses mathematics as the subject for its quiz. In this case, apparently, simplifying algebraic expressions. I discussed it back in February.

Lincoln Peirce’s Big Nate: First Class for the 9th has Nate and Francis working on some arithmetic problem. The strip originally ran the 10th of December, 1994.

John Kovaleski’s Bo Nanas rerun for the 9th shows someone proclaiming himself the superhero “Perpendicular Man”. Then, “Parallel Man”. It’s basically wordplay with implied slapstick.


This does not exhaust all the comic strips run the past week that at least mention mathematics. I’ll pick up the rest in a post at this link, likely on Tuesday.

Reading the Comics, December 6, 2019: The Glances Edition


Although I’m out of the A to Z sequence, I like the habit of posting just the comic strips that name-drop mathematics for the Sunday post. It frees up so much of my Saturday, at the cost of committing my Sunday. So here’s last week’s casual mentions of some mathematics topic.

Wayno and Piraro’s Bizarro for the 3rd of December has a kid doing badly in arithmetic and blaming forces beyond their control.

Bill Holbrook’s On The Fastrack for the 5th has the CEO of Fastrack, Inc, disappointed in what analytics can do. Analytics, here, is the search for statistical correlations, traits that are easy to spot and that indicate greater risks or opportunities. The desire to find these is great and natural. Real data is, though, tantalizingly not quite good enough to answer most interesting questions.

Ruben Bolling’s Super-Fun-Pak Comix for the 5th repeats A Voice From Another Dimension, Bolling’s riff on the Flatland premise.

Tauhid Bondia’s Crabgrass for the 6th uses a background panel of calculus work as part of illustrating deep thinking about something, in this case, how to fairly divide chocolate. One of calculus’s traditional strengths is calculating the volumes of interesting figures.

Richard Thompson’s Richard’s Poor Almanac for the 6th reprints the Christmas Tree guide with a Cubist Fir that “no longer inhabits Euclidean space”.

The World And The Way It Would Be If Numbers Never Existed. Man looking at an elevator control panel: 'This is why I don't like elevators. It's always pot luck.'
Joe Martin’s Mr Boffo for the 6th of December, 2019. The occasional essay mentioning Mr Boffo is put at this link.

Joe Martin’s Mr Boffo for the 6th is a cute joke on one of the uses of numbers, that of being a convenient and inexhaustible index. The strip ran on Friday and I don’t know how to link to the archives in a stable way. This is why I’ve put the comic up here.

And that’s enough comics for just now. Later this week I’ll get to the comics that inspire me to write more.

Reading the Comics, September 21, 2019: Filling Out The Week, Part 1 Edition


There were a couple more comic strips than made a good fit in yesterday’s recap. Here’s the two that I had much to write about.

Jason Poland’s Robbie and Bobby for the 18th is another rerun. I mentioned it back in December of 2016. Zeno’s Paradoxical Pasta plays on the most famous of Zeno’s Paradoxes, about how to get to a place one has to get halfway there, but to get halfway there requires getting halfway to halfway. This goes on in infinite regression. The paradox is not a failure to understand that we can get to a place, or finish swallowing a noodle.

Sock puppets at a restaurant table. Left sock: 'It all looks so good!' Right sock: 'Surprise me, Patrick!' Left: 'I'll have Zeno's Paradoxical Pasta for two!' Right: 'Oh, that sounds exotic!' Waiter sock: 'Legend has it that if your lips meet on the same noodle, you've found true love. Kali orexi!'
Jason Poland’s Robbie and Bobby rerun for the 18th of September, 2019. This is another strip I’m gathering has lapsed into perpetual reruns, so might drop it. But essays featuring Robbie and Bobby should be at this link.

Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 21st gets that strip back to my attention after, like, days out of it. It’s a logic joke, as promised, and that’s mathematics enough for me. Of course the risk of dying from a lightning strike has to be even lower than the risk of being struck by lightning.

Question: 'What did the logician say to the man who was struck by lightning?' (Panel showing a logician watching someone hit by lightning.) Answer: Logician saying to the burnt man: 'Relax, the odds of dying from this are less than the odds of getting struck by lightning.'
Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 21st of September, 2019. I too am surprised it’s been almost a month since an essay with Saturday Morning Breakfast Cereal, as gathered at this link. But then Andertoons went missing for like four months in 2018. All sorts of things will happen and we’re not ready for any of them.

And then there were comic strips that are just of too slight mathematical content for me to go into at length. Several of them all ran on the same day, the 15th of September. Let me give you them.

Jenny Campbell’s Flo and Friends has a couple senior citizens remembering mathematics lessons from their youth. And getting oddly smug about doing it without calculators.

Richard Thompson’s Richard’s Poor Almanac reruns a mention of infinite monkey authorship. Always fun, to my way of thinking.

Samson’s Dark Side of the Horse was the Roman Numerals joke for the week.


And that’s enough for just now. I expect to finish off the casual mentions with a Wednesday Reading the Comics post. The A to Z series should have ‘G’ tomorrow. And I’m still open for suggestions for the letters I through N. Thank you for reading.

Reading the Comics, September 7, 2019: The Minor Ones of the Week


Part of my work reading lots of comic strips is to report the ones that mention mathematics, even if the mention is so casual there’s no building an essay around them. Here’s the minor mathematics mentions of last week.

Gordon Bess’s Redeye for the 1st is a joke about dividing up a prize. There’s also a side joke that amounts to a person having to do arithmetic on his fingers.

Bob Scott’s Bear With Me for the 3rd has Molly and the Bear in her geometry class. Bear’s shown as surprised the kids are still learning Euclidean geometry, which is your typical joke about the character with a particularly deep knowledge of a narrow field.

Wulff and Morgenthaler’s Truth Facts for the 4th is a Venn Diagram joke about the futility of attraction . I don’t know whether this is a repeat.

Gary Brookins’s Pluggers for the 5th is the old joke about how one never uses algebra in real life. The strip is not dated as a repeat. But I’d be surprised if this joke hasn’t run in Pluggers before. I didn’t have a tag for Pluggers before, but there was a time I wasn’t tagging the names of comic strips.

Richard Thompson’s Richard’s Poor Almanac for the 5th is a repeat (it has to be), featuring another of Thompson’s non-Euclidean plants.


And I continue to read the daily comics. Sunday at this link should be a fresh essay about the past week’s strips. Tomorrow, all going well, I’ll have the letter D’s representative in the Fall 2019 A-to-Z sequence. Thank you for reading.

Reading the Comics, June 1, 2019: More Than I Thought Edition


When I collected last week’s mathematically-themed comic strips I thought this set an uninspiring one. That changed sometime while I wrote. That’s the sort of week I like to have.

Richard Thompson’s Richard’s Poor Almanac for the 28th is a repeat; all these strips are. And I’ve featured it here before too. But never before in color, so I’ll take this chance to show it one last time. One of the depicted plants is the “Non-Euclidean Creeper”, which “ignores the geometry of the space-time continuum”. Non-Euclidean is one of those few geometry-related words that people recognize — maybe even only learn — in their adulthood. It has connotations of the bizarre and the weird and the wrong.

And it is a bit weird. While we live in a non-Euclidean space, we never really notice. Euclidean space is the geometry we’re used to from drawing shapes on paper and putting boxes in the corners of basements. And from this we’ve given “non-Euclidean” this sinister reputation. We credit it with defying common sense and even logic itself, although it’s geometry. It can’t defy logic. It can defy intuition. Non-Euclidean geometries have the idea that there are no such things as parallel lines. Or the idea that there are too many parallel lines. And it can get to weird results, particularly if we look at more than three dimensions of space. Those also tax the imagination. It will get a weed a bad reputation.

Your Spring Weeding Guide. Non-Euclidean Creeper. Hard to remove. Ignores the geometry of the spacetime continuum. Common to most yard. (Picture of a woman with garden knife trying to kill a plant that grows around the other side of hte panel.) False Tea Rose. Looks and smells exactly like the lovely tea rose, but it's a weed! Soon your yard will be covered in it! Root it out! Tear it up! Kill it! (Man with rake trying to kill a bush.) Bamzu. COmbines the robust unstoppability of kudzu with the hearty immortality of bamboo. It also attracts zebra mussels. Sell your house and get a condo. (Woman trying to kill a tidal wave of plant with a rake.) Dilatory Bulbvine. Also known as your leftover Christmas lights. Take them down already, it's Easter for crying out loud. (Man saying 'whoopsie' while taking off a strand of lights.)
Richard Thompson’s Richard’s Poor Almanac for the 28th of May, 2019. And, sadly, this probably wraps up the essays I can usefully write about this strip. Essays about Richard’s Poor Almanac should be at this link.

Chen Weng’s Messycow Comics for the 30th is about a child’s delight in learning how to count. I don’t remember ever being so fascinated by counting that it would distract me permanently. I do remember thinking it was amazing that once a pattern was established it kept on, with no reason to ever stop, or even change. My recollection is I thought this somehow unfair to the alphabet, which had a very sudden sharp end.

Girl: 'Mommy, I can count to 100!' Mom: 'Show me!' Girl counts up to 98 99, 100! Mom: 'Wow! Great job! I'm so proud!' (At bedtime.) Mom: 'OK, honey, time to sleep.' Girl: '1, 2, 3, 4.' (Getting the girl off a step.) Mom: 'We are late, let's GO!' Girl: '38, 39, 50? No, 40?' (Dragging the girl out of a room on fire.) Girl '66, 67, 68, 69 ... what's next?' Mom: 'What have I done?'
Chen Weng’s Messycow Comics for the 30th of May, 2019. This is a new strip around here. This and any future essays inspired by Messycow Comics should appear at this link.

The counting numbers — counting in general — seem to be things we’ve evolved to understand. Other animals know how to count. Here I recommend again Stanislas Dehaene’s The Number Sense: How the Mind Creates Mathematics, which describes some of the things we know about how animals do mathematics. It also describes how children come to understand it.

Samson’s Dark Side of the Horse for the 31st is a bit of play with arithmetic. Horace simplifies his problem by catching all the numerals with loops in them — the zeroes and the eights — and working with what’s left. Evidently he’s already cast out all the nines. (This is me making a joke. Casting out nines is a simple checksum that you can do which can guard against some common arithmetic mistakes. It doesn’t catch everything. But it is simple enough to do that it can be worth using.)

Horace working on the problem '100 x 80008005 ='. He strikes out many of the digits from where they appear over his head. What's left is '1 x 5 =', which he answers as 5.
Samson’s Dark Side of the Horse for the 31st of May, 2019. This comic appears a lot around here. Essays including Dark Side of the Horse appear at this link.

The part that disappoints me is that to load the problem up with digits with loops, we get a problem that’s not actually hard: 100 times anything is easy. If the problem were, say, 189 times 80008005 then you’d have a problem someone might sensibly refuse to do. But without those zeroes at the start it’d be harder to understand what Horace was doing. Maybe if it were 10089 times 800805 instead.

The Hookup. At a bar, an anthropomorphic B says to an anthropomorphic 4: 'If numbers don't lie, why did your profile say you were a ten?' (Title panel gag: the 4 says, 'Try me. Let's turn B4 into after.')
Hilary Price and Rina Piccolo’s Rhymes with Orange for the 1st of June, 2019. I don’t get enough chances to write about this comic, which I like, possibly because the title panel format amuses me more than it maybe objectively should. The chances I have had to write about Rhymes With Orange are at this link.

Hilary Price and Rina Piccolo’s Rhymes with Orange for the 1st is the anthropomorphic numerals joke for the week. Also the anthropomorphic letters joke. The capital B sees occasional use in mathematics. It can represent the ball, that is, the set of all points that represent the interior of a sphere of a set radius. Usually a radius of 1. It also sometimes appears in equations as a parameter, a number whose value is fixed for the length of the problem but whose value we don’t care about. I had thought there were a few other roles for B alone, such as a label to represent the Bessel functions. These are a family of complicated-looking polynomials with some nice properties it’s too great a diversion for me to discuss just now. But they seem to more often be labelled with a capital J for reasons that probably seemed compelling at the time. It’ll also get used in logic, where B might stand for the second statement of some argument. 4, meanwhile, is that old familiar thing.


And there were a couple of comics which I like, but which mentioned mathematics so slightly that I couldn’t put a paragraph into them. Henry Scarpelli and Craig Boldman’s Archie rerun for the 27th, for example, mentions mathematics class as one it’s easy to sleep through. And Tony Cochrane’s Agnes for the 28th also mentions mathematics class, this time as one it’s hard to pay attention to.


This clears out last week’s comic strips. This present week’s strips should be at this link on Sunday. I haven’t yet read Friday or Saturday’s comics, so perhaps there’s been a flood, but this has been a slow week so far.

Reading the Comics, April 26, 2019: Absurd Equation Edition


And now I’ll cover the handful of comic strips which ran last week and which didn’t fit in my Sunday report. And link to a couple of comics that ultimately weren’t worth discussion in their own right, mostly because they were repeats of ones I’ve already discussed. I have been trimming rerun comics out of my daily reading. But there are ones I like too much to give up, at least not right now.

Bud Blake’s Tiger for the 25th has Tiger quizzing Punkinhead on counting. The younger kid hasn’t reached the point where he can work out numbers without a specific physical representation. It would come, if he were in one of those comics where people age.

Tiger: 'What comes after eleven?' Punkinhead: 'I can't do it. I don't have enough fingers to count on!' Tiger, handing a baseball glove: 'Use this.'
Bud Blake’s Tiger for the 25th of April, 2019. Essays that bring up something in Tiger appear at this link.

Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 24th is an optimization problem, and an expectation value problem. The wisdom-seeker searches for the most satisfying life. The mathematician-guru offers an answer based in probability and expectation values. List all the possible outcomes, and how probable each are, and how much of the relevant quantity you get (or lose) with each outcome. This is a quite utilitarian view of life-planning. Finding the best possible outcome, given certain constraints, is another big field of mathematics.

Woman seeking enlightenment: 'Should human being strive for pleasure or fulfillment?' Mathematician guru: 'That's a math question, not a philosophy question. Life of pleasure: probability of success 80%, life satisfaction is 5 on scale of 0 to 10; weighted value is 0.8 * 5 = 4. Life of fulfilment: probability of success is 20%, satisfaction is 10; weighted value is 0.2 * 10 = 2.' 'So no life strategy gets you even halfway to the maximum value?' 'There is one. Muddle through: probability of success is 100%. Life satisfaction if successful is 7. 7 * 1.0 = 7.' Woman: 'I tell you, we are here on Earth to ---- around. Kurt Vonnegut.' Mathematician: 'Did you know he trained as a scientist before writing books?'
Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 24th of April, 2019. There’s plenty of discussion of Saturday Morning Breakfast Cereal at this link.

John Atkinson’s Wrong Hands for the 26th is a nonsense-equation panel. It’s built on a cute idea. If you do wan to know how many bears you can fit in the kitchen you would need something like this. Not this, though. You can tell by the dimensions. ‘x’, as the area of the kitchen, has units of, well, area. Square feet, or square meters, or square centimeters, or whatever is convenient to measure its area. The average volume of a bear, meanwhile, has units of … volume. Cubic feet, or cubic meters, or cubic centimeters, or the like. The one divided by the other has units of one-over-distance.

Powerpoint-style slide: Impractical Equation 1. Number of bears you can fit in your kitchen. (x / y) x d = ... x: area of your kitchen. y: average volume of a bear. d: desire to have bears in your kitchen.
John Atkinson’s Wrong Hands for the 26th of April, 2019. Other essays featuring by Wrong Hands are at this link.

And I don’t know what the units of desire to have bears in your kitchen are, but I’m guessing it’s not “bear-feet”, although that would be worth a giggle. The equation would parse more closely if y were the number of bears that can fit in a square foot, or something similar. I say all this just to spoil Atkinson’s fine enough bit of nonsense.

Skippy: 'I can run ten miles in 3520 seconds flat!' Sooky: 'How do ya know?' Skippy: ''Cause I ran fifty yards an' timed myself.'
Percy Crosby’s Skippy rerun for the 26th of April, 2019. It first ran the 3rd of December, 1931. This and other mentions of Crosby’s brilliant Skippy should appear at this link.

Percy Crosby’s Skippy for the 26th is a joke built on inappropriate extrapolation. 3520 seconds is a touch under an hour. Skippy’s pace, if he could keep it up, would be running a mile every five minutes, 52 seconds. That pace isn’t impossible — I find it listed on charts for marathon runners. But that would be for people who’ve trained to be marathon or other long-distance runners. They probably have different fifty-yard run times.


And now for some of the recent comics that didn’t seem worth their own discussion, and why they didn’t.

Niklas Eriksson’s Carpe Diem for the 20th features reciting the digits of π as a pointless macho stunt. There are people who make a deal of memorizing digits of π. Everyone needs hobbies, and memorizing meaningless stuff is a traditional fanboy’s way of burying oneself in the thing appreciated. Me, I can give you π to … I want to say sixteen digits. I might have gone farther in my youth, but I was heartbroken when I learned one of the digits I had memorized I got wrong, and so after correcting that mess I gave up going farther.

Rick Detorie’s One Big Happy rerun for the 22nd has Ruthie seeking mathematics help from the homework hotline. The mathematics is just a pretext. And Richard Thompson’s Richard’s Poor Almanac for the 22nd is the color version of that comic with the Platonic Fir tree, discussed several times. Bud Fisher’s Mutt and Jeff for the 25th reprints the pre-relettering version of >the eating-the-roast-beef joke This is the strip that I’d found changed to “eating ham” in 2018, part of the strip’s mysterious and unexplained relettering.


And now I am, briefly, caught up on the comic strips. I’ll be behind again by Sunday, though. I’ll do something about that, in an essay you should be able to find at this link.

Reading the Comics, April 18, 2019: Slow But Not Stopped Week Edition


The first, important, thing is that I have not disappeared or done something worse. I just had one of those weeks where enough was happening that something had to give. I could either write up stuff for my mathematics blog, or I could feel guilty about not writing stuff up for my mathematics blog. Since I didn’t have time to do both, I went with feeling guilty about not writing, instead. I’m hoping this week will give me more writing time, but I am fooling only myself.

Second is that Comics Kingdom has, for all my complaining, gotten less bad in the redesign. Mostly in that the whole comics page loads at once, now, instead of needing me to click to “load more comics” every six strips. Good. The strips still appear in weird random orders, especially strips like Prince Valiant that only run on Sundays, but still. I can take seeing a vintage Boner’s Ark Sunday strip six unnecessary times. The strips are still smaller than they used to be, and they’re not using the decent, three-row format that they used to. And the archives don’t let you look at a week’s worth in one page. But it’s less bad, and isn’t that all we can ever hope for out of the Internet anymore?

And finally, Comic Strip Master Command wanted to make this an easy week for me by not having a lot to write about. It got so light I’ve maybe overcompensated. I’m not sure I have enough to write about here, but, I don’t want to completely vanish either.

Man walking past a street sign for 52 Ludlow Avenue; the 5 falls down and hits him on the head. Woman with him: 'Numbers are hard.'
Dave Whamond’s Reality Check for the 15th of April, 2019. Appearances in these pages of Reality Check should be gathered at this link.

Dave Whamond’s Reality Check for the 15th is … hm. Well, it’s not an anthropomorphic-numerals joke. It is some kind of wordplay, making concrete a common phrase about, and attitude toward, numbers. I could make the fussy difference between numbers and numerals here but I’m not sure anyone has the patience for that.

Man in a cloudscape: 'I made it to heaven!' Angel: 'You sure did! Now you get to do the best stuff! You can design new systems of mathematics! You can attempt to create self-consistent physics systems. Beset of all, try to create a maximally complex reality using the simplest possible constructions!' Man: 'But that sounds terrible.' Angel: 'QUIET! He hears EVERYTHING.'
Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 17th of April, 2019. I am surprised that this is the first time this strip has drawn a mention this month. Well, this and other Saturday Morning Breakfast Cereal posts are at this link.

Zach Weinersmith’s Saturday Morning Breakfast Cereal for the 17th touches around mathematics without, I admit, necessarily saying anything specific. The angel(?) welcoming the man to heaven mentions creating new systems of mathematics as some fit job for the heavenly host. The discussion of creating self-consistent physics systems seems mathematical in nature too. I’m not sure whether saying one could “attempt” to create self-consistent physics is meant to imply that our universe’s physics are not self-consistent. To create a “maximally complex reality using the simplest possible constructions” seems like a mathematical challenge as well. There are important fields of mathematics built on optimizing, trying to create the most extreme of one thing subject to some constraints or other.

I think the strip’s premise is the old, partially a joke, concept that God is a mathematician. This would explain why the angel(?) seems to rate doing mathematics or mathematics-related projects as so important. But even then … well, consider. There’s nothing about designing new systems of mathematics that ordinary mortals can’t do. Creating new physics or new realities is beyond us, certainly, but designing the rules for such seems possible. I think I understood this comic better then I had thought about it less. Maybe including it in this column has only made trouble for me.

First chicken: 'What do you want for your birthday?' Second chicken: 'I want everybody to ignore my birthday!' First: 'But if I ignore your birthday I'll be giving the perfect birthday gift, which means I'll be celebrating your birthday, which means I won't be ignoring it!!! AAAAUGH! BIRTHDAY PARADOX!!'
Doug Savage’s Savage Chickens for the 17th of April, 2019. Essays inspired by something from Savage Chickens should be at this link.

Doug Savage’s Savage Chickens for the 17th amuses me by making a strip out of a logic paradox. It’s not quite your “this statement is a lie” paradox, but it feels close to that, to me. To have the first chicken call it “Birthday Paradox” also teases a familiar probability problem. It’s not a true paradox. It merely surprises people who haven’t encountered the problem before. This would be the question of how many people you need to have in a group before there’s a 50 percent (75 percent, 99 percent, whatever you like) chance of at least one pair sharing a birthday.

And I notice on Wikipedia a neat variation of this birthday problem. This generalization considers splitting people into two distinct groups, and how many people you need in each group to have a set chance of a pair, one person from each group, sharing a birthday. Apparently both a 32-person group of 16 women and 16 men, or a 49-person group of 43 women and six men, have a 50% chance of some woman-man pair sharing a birthday. Neat.

Man speaking to a teacher: 'There are two angry parents outside. One's upset that you're teaching multiplication ... the other us upset you're teaching division.' Outside the door are an angry bunny and an angry amoeba.
Mark Parisi’s Off The Mark for the 18th of April, 2019. And essays inspired by Off The Mark should appear at this link.

Mark Parisi’s Off The Mark for the 18th sports a bit of wordplay. It’s built on how multiplication and division also have meanings in biology. … If I’m not mis-reading my dictionary, “multiply” meant any increase in number first, and the arithmetic operation we now call multiplication afterwards. Division, similarly, meant to separate into parts before it meant the mathematical operation as well. So it might be fairer to say that multiplication and division are words that picked up mathematical meaning.


And if you thought this week’s pickings had slender mathematical content? Jef Mallett’s Frazz, for the 19th, just mentioned mathematics homework. Well, there were a couple of quite slight jokes the previous week too, that I never mentioned. Jenny Campbell’s Flo and Friends for the 8th did a Roman numerals joke. The rerun of Richard Thompson’s Richard’s Poor Almanac for the 11th had the Platonic Fir Christmas tree, rendered as a geometric figure. I’ve discussed the connotations of that before.

And there we are. I hope to have some further writing this coming week. But if all else fails my next Reading the Comics essay, like all of them, should be at this link.

Reading the Comics, April 5, 2019: The Slow Week Edition


People reading my Reading the Comics post Sunday maybe noticed something. I mean besides my correct, reasonable complaining about the Comics Kingdom redesign. That is that all the comics were from before the 30th of March. That is, none were from the week before the 7th of April. The last full week of March had a lot of comic strips. The first week of April didn’t. So things got bumped a little. Here’s the results. It wasn’t a busy week, not when I filter out the strips that don’t offer much to write about. So now I’m stuck for what to post Thursday.

Jason Poland’s Robbie and Bobby for the 3rd is a Library of Babel comic strip. This is mathematical enough for me. Jorge Luis Borges’s Library is a magnificent representation of some ideas about infinity and probability. I’m surprised to realize I haven’t written an essay specifically about it. I have touched on it, in writing about normal numbers, and about the infinite monkey theorem.

At a tower. Bobby: 'The library of Babel!' Robbie: 'Inside is every book that will ever be written! It may take the rest of our lives to search, but it'll be worth it!' Bobby: 'What? No index?' Robbie: 'The search for meaning has no index.' Bobby (on the phone): 'I just downloaded one.' Robbie: 'It can't have everything. ... Mark Twain vs Frankenstein? Dante in Space? Harry Potter Infinity?' Bobby: 'Yep. All available as e-books too! Wow, Jeff Goldblum does the audio books.' Robbie: 'pfff. Well, forget this place!' (They leave a 'BORING' sign across the library's door.)
Jason Poland’s Robbie and Bobby for the 3rd of April, 2019. I would have sworn that I write more about this strip. But this seems to be the first time I’ve mentioned it since 2017. Well, that and other Robbie and Bobby-based essays are at this link.

The strip explains things well enough. The Library holds every book that will ever be written. In the original story there are some constraints. Particularly, all the books are 410 pages. If you wanted, say, a 600-page book, though, you could find one book with the first 410 pages and another book with the remaining 190 pages and then some filler. The catch, as explained in the story and in the comic strip, is finding them. And there is the problem of finding a ‘correct’ text. Every possible text of the correct length should be in there. So every possible book that might be titled Mark Twain vs Frankenstein, including ones that include neither Mark Twain nor Frankenstein, is there. Which is the one you want to read?

Over a pizza. Reggie: 'Don't let Jughead near the pizza! He always ends up eating half of it!' Jughead, with the cutter: 'Relax! I've divided it into four equal slices! Check it yourself!' Reggie: 'OK, I guess they do look equal.' Archie: 'Except for one thing! There are only three of us!' (Reggie and Archie each have one slice; Jughead has two.)
Henry Scarpelli and Craig Boldman’s Archie for the 4th of April, 2019. Now this strip I’ve written about as recently as October. That appearance, and other Archie strips, are discussed at this link.

Henry Scarpelli and Craig Boldman’s Archie for the 4th features an equal-divisions problem. In principle, it’s easy to divide a pizza (or anything else) equally; that’s what we have fractions for. Making them practical is a bit harder. I do like Jughead’s quick work, though. It’s got the slight-of-hand you expect from stage magic.

Caterpillars in an algebra classroom. On the back of one caterpillar student is a sign, 'Kick^{10} me'.
Scott Hilburn’s The Argyle Sweater for the 4th of April, 2019. And this strip I’ve written about … wait, can I really have gone since early March without mentioning? Huh. Well, so it appears. Essays discussing The Argyle Sweater appear at this link.

Scott Hilburn’s The Argyle Sweater for the 4th takes place in an algebra class. I’m not sure what algebraic principle 7^4 \times 13^6 demonstrates, but it probably came from somewhere. It’s 4,829,210. The exponentials on the blackboard do cue the reader to the real joke, of the sign reading “kick10 me”. I question whether this is really an exponential kicking situation. It seems more like a simple multiplication to me. But it would be harder to make that joke read clearly.

Tony Cochran’s Agnes for the 5th is part of a sequence investigating how magnets work. Agnes and Trout find just … magnet parts inside. This is fair. It’s even mathematics.

Looking over a pile of debris and a hammer on the table. Agnes: 'OK, we smashed a magnet. What do we see?' Trout: 'Uh. Magnet crumbs.' Agnes: 'Me too. I see magnet crumbs.' Trout: 'No gizmos, no gears, no wires. Just dirty black magnet crumbs.' Agnes: 'So what does this tell us about magnet function?' Trout: 'That it's one of God's many mysteries. Let's go eat.'
Tony Cochran’s Agnes for the 5th of April, 2019. And this strip I quite like, but don’t get to discuss enough. My essays featuring Agnes appears at this link.

Thermodynamics classes teach one of the great mathematical physics models. This is about what makes magnets. Magnets are made of … smaller magnets. This seems like question-begging. Ultimately you get down to individual molecules, each of which is very slightly magnetic. When small magnets are lined up in the right way, they can become a strong magnet. When they’re lined up in another way, they can be a weak magnet. Or no magnet at all.

How do they line up? It depends on things, including how the big magnet is made, and how it’s treated. A bit of energy can free molecules to line up, making a stronger magnet out of a weak one. Or it can break up the alignments, turning a strong magnet into a weak one. I’ve had physics instructors explain that you could, in principle, take an iron rod and magnetize it just by hitting it hard enough on the desk. And then demagnetize it by hitting it again. I have never seen one do this, though.

This is more than just a physics model. The mathematics of it is … well, it can be easy enough. A one-dimensional, nearest-neighbor model, lets us describe how materials might turn into magnets or break apart, depending on their temperature. Two- or three-dimensional models, or models that have each small magnet affected by distant neighbors, are harder.


And then there’s the comic strips that didn’t offer much to write about.
Brian Basset’s Red and Rover for the 3rd,
Liniers’s Macanudo for the 5th, Stephen Bentley’s Herb and Jamaal rerun for the 5th, and Gordon Bess’s Redeye rerun for the 5th all idly mention mathematics class, or things brought up in class.

Doug Savage’s Savage Chickens for the 2nd is another more-than-100-percent strip. Richard Thompson’s Richard’s Poor Almanac for the 3rd is a reprint of his Christmas Tree guide including a fir that “no longer inhabits Euclidean space”.

Mike Baldwin’s Cornered for the 31st depicts a common idiom about numbers. Eric the Circle for the 5th, by Rafoliveira, plays on the ∞ symbol.


And that covers the mathematically-themed comic strips from last week. There are more coming, though. I’ll show them on Sunday. Thanks for reading.

Reading the Comics, November 7, 2018: Shorthand and Reruns Edition


There’s two types of comics for the second of last week’s review. There’s some strips that are reruns. There’s some that just use mathematics as a shorthand for something else. There’s four strips in all.

John Deering’s Strange Brew for the 6th uses mathematics as shorthand for demonstrating intelligence. There’s no making particular sense out of the symbols, of course. And I’d think it dangerous that Lucky seems to be using both capital X and lowercase x in the same formula. There’s often times one does use the capital and lowercase versions of a letter in a formula. This is usually something like “x is one element of the set X, which is all the possible candidates for some thing”. In that case, you might get the case wrong, but context would make it clear what you meant. But, yes, sometimes there’s no sensible alternative and then you have to be careful.

Person upstairs: 'I don't understand how Lucky keeps getting out.' Lucky, the dog, is downstairs, writing out plans: 'V_1 Q_q = X'^4 y / B(4) x^2'
John Deering’s Strange Brew for the 6th of November, 2018. The mathematics is all fine but have they considered they never did close the patio door?

Randy Glasbergen’s Glasbergen Cartoons for the 6th uses mathematics as shorthand for a hard subject. It’s certainly an economical notation. Alas, you don’t just learn from your mistakes. You learn from comparing your mistakes to a correct answer. And thinking about why you made the mistakes you did, and how to minimize or avoid those mistakes again.

Student, to teacher: 'If we learn from our mistakes, shouldn't I make as many mistakes as possible?' On the blackboard is the problem 473 x 17.
Randy Glasbergen’s Glasbergen Cartoons for the 6th of November, 2018. The strip is a rerun, but I have no information to date when it’s from.

So how would I do this problem? Well, carrying out the process isn’t too hard. But what do I expect the answer to be, roughly? To me, I look at this and reason: 473 is about 500. So 473 x 17 is about 500 x 17. 500 x 17 is 1000 times eight-and-a-half. So start with “about 8500”. That’s too high, obviously. I can do better. 8500 minus some correction. What correction? Well, 473 is roughly 500 minus 25. So I’ll subtract 25 times 17. Which isn’t hard, because 25 times 4 is 100. So 25 times 17? That’s 25 times 16 plus 25 times 1. 25 times 16 is 100 times 4. So 25 times 17 is 425. 8500 minus 425 is 8075. I’m still a bit high, by 2 times 17. 2 times 17 is 34. So subtract 34 from 8075: it should be about 8041.

Student taking a test: 'Which of these is a right triangle?' (Figures a, b, and c.) Maria's answer: 'c is right. a is left. b is middle.'
John Zakour and Scott Roberts’s Maria’s Day for the 7th of November, 2018. Kind of curious whether this is meant to have one correct answer or an unspecified number of correct answers, since both ‘b’ and ‘c’ look plausibly like right triangles to me.

John Zakour and Scott Roberts’s Maria’s Day for the 7th is a joke built on jargon. Every field has its jargon. Some of it will be safely original terms: people’s names (“Bessel function”) or synthetic words (“isomorphism”) that can’t be easily confused with everyday language. But some of it will be common terms given special meaning. “Right” angles and “right” triangles. “Normal” numbers. “Group”. “Right” as a description for angles and triangles goes back a long way, at least to — well, Merriam-Webster.com says 15th century. But EtymologyOnline says late 14th century. Neither offers their manuscripts. I’ll chalk it up to differences in how they interpret the texts. And possibly differences in whether they would count, say, a reference to “a right angle” written in French or German rather than in English directly.

Literary Calendar. Several jokes, including: Saturday 7pm: an infinite number of chimpanzees discuss their multi-volume 'Treasury of Western Literature with no Typos' at the Museum of Natural History. Nit picking to follow.
Richard Thompson’s Richard’s Poor Almanac rerun for the 7th of November, 2016.

Richard Thompson’s Richard’s Poor Almanac for the 7th has been run before. It references the Infinite Monkey Theorem. The monkeys this time around write up a treasury of Western Literature, not merely the canon of Shakespeare. That’s at least as impressive a feat. Also, while this is a rerun — sad to say Richard Thompson died in 2016, and was forced to retire from drawing before that — his work was fantastic and deserves attention.


This and every Reading the Comics post should be at this link. Essays discussing topics raised by Strange Brew are at this link. The essays discussing Glasbergen Cartoons are at this link. Essays which mention Maria’s Day, are at this link. And essays featuring Richard’s Poor Almanac are at this link.

My Fall 2018 Mathematics A-To-Z averages two new posts a week, through the end of December. Thanks again for reading.

Reading the Comics, February 20, 2018: Bob the Squirrel Edition


So one comic strip was technically on point all this week, without ever quite giving me a specific thing to talk about. And I came to conclude there was another comic strip I could drop from my consideration. Which all were they? Read on.

Frank Page’s Bob the Squirrel for the 18th of February isn’t really about the Rubik’s Cube. It’s just something to occupy Bob’s mind until a deeper mystery emerges. Rubik’s Cubes, meanwhile, are everyone’s favorite group theory pastime, although I’m not sure how many people have learned group theory starting from that point. Where flies come from in the middle of winter I don’t know. We’ve been dealing with box elder bugs ourselves. (We’ve been scooping them up and tossing them outside where they can hopefully find the trees they should be using instead.)

Bob the Squirrel went on, during the week, to start a sequence about Lauren needing a geometry tutor. The story hasn’t done much that geometry-specific — Saturday’s was the most approximately on point — but it’s a comic strip I like. Squirrel fans might agree. (The strip for the 22nd has most tickled me.)

Allison Barrows’s PreTeena rerun for the 19th has a student teacher starting off her experience with a story problem. Your classic time-estimation problem.

Jack Pullan’s Boomerangs rerun for the 20th is one that mentions entropy and that I’ve already talked about at least twice before. These were times in January 2017 and also in November 2013. Given that the strip’s no longer in production and that I’m clearly on at least my third go-round I suppose I’ll retire it from my daily read. I’m curious why, if it was about 14 months between the last appearance and this appearance of this strip, why I didn’t have it at all in 2015 or 2016. Maybe I missed it, or it came a week there was enough to write about that I didn’t need to include a marginal strip.

Christopher Grady’s Lunarbaboon for the 20th is intended to be a heartwarming little story of encouragement and warm feelings. (Most Lunarbaboon strips are intended to be a heartwarming little story of encouragement and warm feelings.) That it’s mathematics the kid struggles with is incidental to the story setup. But it does make it easy to picture a kid struggling and a couple kind words offering some motivation, or at least better feelings.

Richard Thompson’s Richard’s Poor Almanac for the 20th is a casual mention of sudoku and a publication error that would supposedly have made it impossible. If the numbers were transposed consistently — everything that ought to have been a ‘2’ printed as a ‘5’, and everything that ought to have been ‘5’ printed as ‘2’ — the problem would be exactly as solvable. This is why you can sometimes see sudoku-type puzzles that use symbols or letters or other characters. But if, say, the third and the second rows were transposed then there’s a chance the incorrect puzzle would be solvable. Transposing a bunch of squares, like, the top three rows with the bottom three rows, wouldn’t make the puzzle unsolvable. This serves as a reminder that if you make enough mistakes you can still turn out all right, a comforting message for our times. Also I know I’ve featured Richard’s Poor Almanac several times over, but I’m a Richard Thompson fan so I’m not dropping that from my feed.

Will Henry’s Wallace the Brave — to be newspaper-syndicated from the 26th of March, by the way, and I’m glad for that as Wallace and I share the same favorite pinball game — just mentions mathematics as a subject Wallace isn’t thinking enough about. I’m also fond of the Loch Ness Monster, so, all the better.

I’m not surprised that this seems to be the first time I’ve had Lunarbabboon tagged. I am surprised that Bob the Squirrel seems not to have been tagged here before. Maybe I didn’t give the tag suggested-completion enough time to figure out what to do with ‘bob the’. We’ve been having odd little net glitches that mostly pass quickly, but that kill any sort of client-side Javascript-based page rendering. You know, like every web page does anymore because somehow “the web server puts together a bunch of stuff and transmits that to the reader” is too inefficient a system.

Reading the Comics, January 22, 2018: Breaking Workflow Edition


So I was travelling last week, and this threw nearly all my plans out of whack. We stayed at one of those hotels that’s good enough that its free Internet is garbage and they charge you by day for decent Internet. So naturally Comic Strip Master Command sent a flood of posts. I’m trying to keep up and we’ll see if I wrap up this past week in under three essays. And I am not helped, by the way, by GoComics.com rejiggering something on their server so that My Comics Page won’t load, and breaking their “Contact Us” page so that that won’t submit error reports. If someone around there can break in and turn one of their servers off and on again, I’d appreciate the help.

Hy Eisman’s Katzenjammer Kids for the 21st of January is a curiously-timed Tax Day joke. (Well, the Katzenjammer Kids lapsed into reruns a dozen years ago and there’s probably not much effort being put into selecting seasonally appropriate ones.) But it is about one of the oldest and still most important uses of mathematics, and one that never gets respect.

Mama: 'Der deadline fer der kink's taxes iss dis veek! Der kink's new tax law makes gif'ink him yer money much easier!' Captain: 'Mit der new forms it should be a snep!' All that day ... Captain: 'Let's see. Add lines 4, 8 und 12 to line 18 und subtract line 22'. And also the next day. Captain: 'Add der number uf fish caught by you diss year und divide by der veight uf der bait ...' And the day after that ... 'If you ate t'ree meals a day all t'rough der year, check idss box ... if you vun money playink pinochle mit der Kink, enter der amount ... ' As the Captain throws the forms up, Mama says, 'Captain! Der tax collector iss here!' The Captain raspberries the agent: 'Hey! Tax collector!' Next panel, in prison. Mama: 'Dumkopf! Why din't you fill out der new easy tax forms?' Captain, in chains: 'Diss iss easier!'
Hy Eisman’s Katzenjammer Kids for the 21st of January, 2018. And, fine, but if the tax forms are that impossible to do right then shouldn’t there be a lot more people in jail for the same problem? … Although I suppose the comic strip hasn’t got enough of a cast for that.

Morrie Turner’s Wee Pals rerun for the 21st gets Oliver the reputation for being a little computer because he’s good at arithmetic. There is something that amazes in a person who’s able to calculate like this without writing anything down or using a device to help.

Steve Kelley and Jeff Parker’s Dustin for the 22nd seems to be starting off with a story problem. It might be a logic problem rather than arithmetic. It’s hard to say from what’s given.

Dustin: 'Next problem. Howard mails letters to four friends: Don, Mary, Tom, and Liz. It takes two days for the letter to get to Don.' Student: 'Excuse me? What's a letter?' Other student: 'Dude, it's the paper the mailman brings for your parents to put in the recycling.'
Steve Kelley and Jeff Parker’s Dustin for the 22nd of January, 2018. Yeah, yeah, people don’t send letters anymore and there’s an eternal struggle to make sure that story problems track with stuff that the students actually do, or know anything about. I still feel weird about how often the comic approaches Ruben Bolling’s satirical Comics For The Elderly. Usually Dustin (the teacher here) is getting the short end; it’s odd that he isn’t, for a change.

Mark Anderson’s Andertoons for the 22nd is the Mark Anderson’s Andertoons for the week. Well, for Monday, as I write this. It’s got your classic blackboard full of equations for the people in over their head. The equations look to me like gibberish. There’s a couple diagrams of aromatic organic compounds, which suggests some quantum-mechanics chemistry problem, if you want to suppose this could be narrowed down.

Greg Evans’s Luann Againn for the 22nd has Luann despair about ever understanding algebra without starting over from scratch and putting in excessively many hours of work. Sometimes it feels like that. My experience when lost in a subject has been that going back to the start often helps. It can be easier to see why a term or a concept or a process is introduced when you’ve seen it used some, and often getting one idea straight will cause others to fall into place. When that doesn’t work, trying a different book on the same topic — even one as well-worn as high school algebra — sometimes helps. Just a different writer, or a different perspective on what’s key, can be what’s needed. And sometimes it just does take time working at it all.

Richard Thompson’s Richard’s Poor Almanac rerun for the 22nd includes as part of a kit of William Shakespeare paper dolls the Typing Monkey. It’s that lovely, whimsical figure that might, in time, produce any written work you could imagine. I think I’d retired monkeys-at-typewriters as a thing to talk about, but I’m easily swayed by Thompson’s art and comic stylings so here it is.

Darrin Bell and Theron Heir’s Rudy Park for the 18th throws around a lot of percentages. It’s circling around the sabermetric-style idea that everything can be quantified, and measured, and that its changes can be tracked. In this case it’s comments on Star Trek: Discovery, but it could be anything. I’m inclined to believe that yeah, there’s an astounding variety of things that can be quantified and measured and tracked. But it’s also easy, especially when you haven’t got a good track record of knowing what is important to measure, to start tracking what amounts to random noise. (See any of my monthly statistics reviews, when I go looking into things like views-per-visitor-per-post-made or some other dubiously meaningful quantity.) So I’m inclined to side with Randy and his doubts that the Math Gods sanction this much data-mining.

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