This is a 100% recycled yak fur story.
Molly asked me a thoughtful question while I was in the middle of something else and I said “Just a second, I need to rotate my brain.” A moment later, I said OK and she asked me if my brain was all rotated now. I replied, “Well, 82° out of 90°, close enough.” Molly quipped “And since when did you ever do things square?”
But then I nerdsniped myself. I started to wonder about 82° angles. If a polygon with 90° angles is a square, what sort of polygon do you get if you turn 82° at each corner? It’s not one of your basic shapes, because:
- 120° angles make a triangle (3 sides, since 360° ÷ 120° = exactly 3)
- 90º angles make a square (4 sides; 360° ÷ 90° = exactly 4)
- 82° angles make a ??? (?? sides; 360° ÷ 82° = 4.3902439024???)
- 72° angles make a pentagon (5 sides; 360° ÷ 72° = exactly 5)
It must be some kind of … star shape, 82 doesn’t go evenly into 360, which means that you’d have to spirograph-around the circle more than once to come back to where you started.
But what kind of star? How many points would there be on a star with 82° angles at each point? I decided that I had to know, and that I wanted to see what the star looked like, not just find out the numeric answer. The numeric answer is the GCD of 82 and 360, and I could figure that out, but then where’s my picture of the star? I decided to write a quick program to draw stars with angles of ‘N’ degrees at each corner, and to print out how many points there were on the star.
So ten minutes later, I had refreshed my Logo skills. Luckily, Logo is secretly sort of a dialect of LISP, and I’m very comfortable with LISP-like languages. Here’s the code I finally came up with:
to anglestar :angle clearscreen penup forward 150 pendown make "count 1 setheading :angle while (heading > 0) [ forward 200 right :angle setheading round modulo heading 360 make "count sum :count 1 ] forward 200 show :count end anglestar 82
And it printed “180”, meaning that this is a 180-point star. Or, as Molly pointed out, more of a bike wheel than a star really. An imaginary bike wheel.
I decided to try other angles since I now had this great program. With N=80°, you get a nine-pointed star, because 80° x 9 = 720°, which is twice around the 360° circle:
And with N=81° you get a 40-pointed star:
Although as Molly pointed out, this one isn’t really a ‘star’, either. This one is more of an imaginary bicycle gear, a lot like this real 40-toothed bicycle gear:
Oh, and after all this, Molly very patiently re-asked me her original question again, and I answered her without yak-further delay.
Oh, we love our Easter Egg hunts.
Oh, we love our Easter Egg hunts. As the girls (now age 14) have grown from little kids, to tweens, to actual teenagers, what started as a simple find-the-hidden-eggs game has grown right along side them; it’s now a full-on multi-stage puzzle hunt. 2014’s hunt involved complex interlocking rules. 2016’s hunt involved cryptography and QR codes. Now, here’s how 2017’s puzzle unfolded…
The rules were simple: each girl would be assigned a couple of colors, and each girl could pick up any egg she found once she was certain that the egg matched one of her colors. Easy, right? Further ‘simplifying’ things, I announced that I had placed one giant colored egg on a pedestal with each girl’s name (and one for the parents), so all they had to do was look at the pedestal with their name, and they’d see their first egg color. I showed them all a picture (below) of how nicely I had set it up, and how easy it was going to be.
But when we got outside to start collecting eggs… quelle surprise! The wind seemed to have blown the eggs off their pedestals! How ever would the girls know which color was theirs??
Luckily, each pedestal contained a set of instructions for figuring things out in case of just such an emergency:
The girls retreated to the kitchen to pencil-and-paper this problem. After a few minutes, they’d worked it out with Rebecca offering supportive coaching (but not giving away the answers even though she’s great at these puzzles). The girls hastened outside to each crack open their correct-color giant eggs.
Inside each giant egg was a message… and another, smaller egg.
Inside the smaller eggs was some chocolate, which was immediate consumed as much-needed brain fuel. And there were also some scraps of cut up paper with writing across them — clearly they needed to be reassembled. The girls hurried back inside, and taped the paper back together, revealing four trivia questions about opening magical doors. (Full credit here: Three of these riddles were written by Ryan O’Boyle for Veracode Hackathon 10 & 5/7ths. His riddles were great, and inspired me to add one additional one of my own.)
It just so happened that the team included a Tolkien expert (Norm), and several Harry Potter fans (everyone but me) so the answers were quickly found. Bonus points to Abby for remember the spell “Alohomora”, and to Eleanor for remembering that the Ministry of Magic’s phone booth code was “M A G I C” on the telephone dial — and then using the Phone app on her iPhone to look up what numbers that was.
But now what? The girls still needed to know what colors of eggs they each were looking for, and all they had were these trivia answers — definitely not colors. Well luckily the third giant egg, the one for the parents, contained a “Helpful, Quick, and Easy Egg Color Key!” with some hand-wavey formula clues on it about how to transform the trivia question answers into numbers.
By considering a=1, b=2, etc., and adding up the letters in each trivial answer (and after I fixed a typo..oops), the girls arrived at numeric values… but still no colors. It was more or less at this point that Eleanor started invoking the word “patricide” in her running commentary.
Working through the formulas provided on the key, the girls had figured out that the variables k=112, j=250, x=147, and y=248, so, again, they had some numbers, but no colors. The key said that one color was y,y,x and the other color was k,j,k.
“But how are those colors?”, Rebecca asked, and there was a moment of silence.
“HEX CODES!” Eleanor exclaimed, and the chase was back on! Using an Internet color code converter, the girls converted 248,248,147 into yellow, and 112,250,112 into green. Colors at last!
Now with each of the girls knowing exactly which egg colors were theirs, they scooted out to the yard. Within just a few minutes, they’d found all of the (poorly) hidden eggs, collected them, and returned to the kitchen inside to savor the chocolate goodies within.
Then came the screams.
Then came the screams. For inside each egg not only was there a tasty bit of chocolate, but also… more sliced up message fragments. There was clearly another part of the puzzle. Madly, the girls sorted out all the pieces and assembled them:
The team stared at this for a while, and then started discussing the fonts: Papyrus, then a font that no one knew the name of, then Times, Comic Sans, and Helvetica (with a quick argument about Arial… ending with “Well, young lady, in this house, we use Helvetica!”). Could the five-letter word that the clue was asking for be made from the initials of the fonts? P_TCH? PATCH was considered for a minute, but when the girls hit on PITCH, the hints about “pining”, “note”, and “curveball” all clicked!
Using PITCH, they completed the partial URL and typed in http://tinyurl.com/2017EGGPITCH What came up at that URL was a photograph of the front of the house, with a big green arrow.
The girls practically flew out the front door, flipped over the flowerpot in the picture, and were rewarded with a glass jar filled with glittery treasure eggs, yet more chocolate, and a note saying VICTORY! CONGRATULATIONS on SOLVING the 2017 Easter Egg Hunt!
Happy congratulations were shared all around, and everyone enjoyed some of their hard-won chocolate.
With the puzzles finally solved, and chocolate fully secured, Eleanor finally stopped repeating the word “patricide” over and over, which she’d started saying nearly an hour before.
For the record, the total elapsed time was 56 minutes, 42 seconds — including the time it took for me to fix the typo in the math key (oops), and the time that Eleanor spent repeating the word “patricide”.
Maybe next year I’ll start making the puzzles hard.
Bear with me here, because about 200 words from now I’m going to make a huge brag that I hardly ever talk about these days. OK, thanks. Let’s go:
In January 2001, “Web Hosting Magazine” published their “Top 100 Awards” issue.
Clearway Technologies, a company that I founded, shared an award for “Fastest Growing New Market: CDNs”. C.D.N. stands for “Content Delivery Network”, a system of helping deliver web pages, images, and videos faster over the Internet; the CDN that some people may be familiar with today in 2016 is Akamai, but back in the 2000’s, there were half a dozen CDN companies, all trying to get a slice of the CDN revenue pie.
On pages 42-43, Clearway, SolidSpeed, Speedera, EpicRealm, and Akamai were all called out for awards #5, 6, 7, 8, and 9, in the overall CDN area, and for developing this hot new marketplace.
And then, later on in the list of awards, we come to #68, given exclusively to Clearway, and to me, “For Inventing CDN”.
And you know what? They’ve got the facts right here. By the time Akamai was just barely getting started, I already had Clearway Technologies up and running, and we were already shipping our first CDN offering, and I’d already filed for the patent on our core technologies.
So while I’m a little too modest to be comfortable saying it, as far as I can tell, it’s true:
I invented the first CDN.
Now, while I do get to say that I invented the first CDN, “FireSite” and “FireSite.net”, I also have to say that I didn’t get rich from it. Clearway was initially a ‘bootstrap’ startup, and so grew very slowly at first. Here’s the entire company, in August 1996 doing our initial product launch at Macworld in Boston.
Later, we took in venture capital, and we grew Clearway to over 200 people. Here’s the team that helped do our ‘big’ launch at Networld/Interop 2000 in Atlanta.
So we grew the company and ultimately we sold it to Mirror Image Internet, another CDN company with complementary technologies and assets. And while Mirror Image is still around today, it, also, is not a success story. Mirror Image was never able to successfully monetize the union of their existing network infrastructure and Clearway’s advanced CDN technology, and so the company has never seen the growth that we hoped. (And thus I learned the meaning of the term “reverse stock split.”)
Other people have gone on to build bigger CDNs — most notably Akamai, who has become the dominant player in the CDN market, and they’re doing fine financially.
My original CDN patent (U.S. #5,991,809) was filed on July 25, 1996. In the U.S. the term of a patent is twenty years from the first priority date. That means my first CDN patent will expire in two weeks, on July 26, 2016. These twenty years have been a heck of a ride, and looking back, I’m proud of what I invented, and happy to see what it’s become.
-Mark Kriegsman, July 12, 2016.
Here’s the full text of what Web Hosting Magazine had to say about the invention of the CDN:
from Web Hosting Magazine, January 2001, page 77.
For Inventing CDN
Akamai may think of itself as the grandfather of content-delivery network services, but let’s not forget the man who invented the idea: Clearway Technologies founder Mark Kriegsman.
Akamai’s business plan was entered into MIT’s annual $50,000 Entrepreneurship Competition in 1998, by which time Kriegsman had already received Patent #5,991,809 for his “web serving system that coordinates multiple servers to optimize file transfers.” The U.S. Patent Office abstract somewhat cryptically describes Kriegsman’s intervention as a “networked system consisting of one primary and at least one secondary server, both capable of storing static and dynamic content. In addition the primary server houses at least one look-up table, with which the system can use various criteria to search for specific data files and allocate transmission of each file between the primary and secondary servers based on these criteria.” (What can we say? It was 1997.)
So Akamai and Digital Island can sue each other all they want about patent infringements, but Mark– we know who really came first. Wink, wink ; )
Some things we try because we have a clear idea where we want to be and a clear idea how to get there.
Some things we try because we’re suddenly shocked to find that the heretofore completely impossible has suddenly and surprisingly come within practical reach.
And some things we try just to play, and to explore what if. We start with our heads full of simple ideas that turn out to be wrong, and we awkwardly replace them in torn out bunches with new confused half-understandings that, later, will let us reach something wholly unexpected.
I’m not sure which of these things in doing here, which means it’s probably that last one.