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Tuesday Teaser #57: How much is EQUESTRIA?

So... yeah. Hi.

I've been a little busy. Not busy with exactly the things I'd prefer, I admit, but some of them are what I want. Like, I'm doing a wimpy (by volume) version of NaNoWriMo; I'm hoping to finish a few chapters by the end of November.

On to the puzzle! Maybe you have heard of Equestria Daily. Last month, they finally got mascots, Spotlight Splash and Rocket Tier. When I read that Spotlight likes solving puzzles, that lent me the impetus to write this puzzle, a pony-themed alphacipher.

In a normal alphacipher, each letter has been assigned a distinct integer value from 1-26, and several words are provided along with their values as determined by adding together the values of their letters. For example, with the common A=1, B=2... Z=26 assignment, EXAMPLE has a value of 5+24+1+13+16+12+5=76. (Yes, both E's count.)

However, I performed some different calculations. The rule I used does coincide with the normal addition in many predictable cases, but... well, my Puzzle Hunt experience is keeping me from outright telling you the rule. If you find that "figure out the secret rule" approach to be too difficult--or obnoxious--here's the rule in rot13:

Rnpu anzr vf gb or fcyvg vagb cnegf bs rdhny yratgu; gur yratgu va rnpu pnfr vf gur ynetrfg cevzr ahzore gung jvyy jbex. V gbbx gur fhzf bs rnpu cneg naq zhygvcyvrq gurz gbtrgure sbe gur tvira inyhr. Sbe vafgnapr, gur rknzcyr jbhyq jbex gur fnzr, naq gur qvfp wbpxrl hfrf gur cebqhpg bs sbhe fhzf bs guerr yrggref rnpu.

Here's the unadorned version:

BON BON.............2401

PINKIE PIE.........65379
RAINBOW DASH.........186

TIME TURNER.........5082
VINYL SCRATCH....3270960

How much is EQUESTRIA?

In semi-related news, as mentioned above, I am attempting to do a low-intensity version of NaNoWriMo, with a crossover called "Dan Vs. King Sombra" which, irrespective of obviousness, is a crossover between "My Little Pony" and the no-longer-in-production cartoon "Dan Vs." My original goal was to write something for the novel every day. I technically failed yesterday, but I fully intend to keep writing.


*blows dust off journal*

Hi there. With the dawning of a new year, I've decided to make some changes. Starting tomorrow, I'm going to try to post on LiveJournal every day.

I'm certainly keeping up my puzzlemaking, and I'd like to point out that some of my creations are going up on Grandmaster Puzzles. Moreover, I intend to put out some life updates here, along with puzzles that don't quite fit over there.

Happy New Year, everyone!


First, I should apologize. The seventh MLP puzzle I was promising hasn't been finished, and it won't be finished for some time yet. But I do have something to show today.

Alexandre Muñiz posted some combinatorial musings on the World Cup recently, and I had a stab at the main posed problem. Figured out some shortcuts, but it's quite combinatorially tricky.

The question is this: given that the soccer teams in each of several groups are evenly matched, and there is a certain likelihood of each game resulting in a tie, how likely is it that the groups will all have different scores?
One imperial long butt-ton of explorationCollapse )

Well, that's about it for the main problem. I don't know the answer. But to make sure my methods work, I tried them in a spreadsheet on three groups of three teams each. The probability of no repeats when ties are 1/3 probability is about .53315 or exactly 1166/2187. This reaches a maximum of about .533468755 when ties have a probability of about .34308.


Tuesday Teaser #56: Small-Town Stargazing

At long last, here is my sixth My Little Pony puzzle, dedicated to Equestria's newest princess. While not absolutely the last, I'm proud of accomplishing my original goal of one puzzle for each of the Mane Six (before the end of the show :p ).
 photo Magic.png
This is a Star Battle variant. There are fifteen colored letter regions and six white regions. The internal borders in the W, P, A, and E are purely to emphasize the letters.

Rules: Forty-two squares of the grid each contain one star, and the rest are empty. No two star squares share a corner or a side. Locate these stars, given that there are two per region, and three per row and column.

So Star Battle is a pretty obvious choice, since Twilight's cutie mark is a group of stars. But why 21 regions in a 14*14 square? Well, I hit upon using 42 stars because in the episode "Fall Weather Friends," some of the cast participated in a race called the Running of the Leaves, and Twilight's racer number was 42. And beyond that number having a prominent place in geek culture, it's also the number of points on the stars in her mark (two large overlapping stars, five smaller stars surrounding them, each with six points).

Then with fifteen regions forming letters, 21 total regions was obvious. And I've already seen several small-region SBs, so using a grid smaller than 21*21 wasn't a tortuous decision.

Next week, I hope to have a doozy of a puzzle ready for you. Maybe I'll even make one for Spike. ^_^


Tuesday Teaser 55: Hurricane Visibility

Sorry to keep you waiting. I had this up on Photobucket for a week, but there was one detail about it that it took me the week to decide to leave alone. So here's Fluttershy's puzzle.
 photo Kindness.png
This is a kuromasu with the twist that half the clues are multiplicative. Of course, I'm going to de-jargon that for you.

Rules: Blacken some of the grid squares so that each number represents its square's line of sight in one of two ways. An observer at each clue looks up, down, left, and right, and sees up to the edge of either the grid or the nearest black square. A clue number is either the count of all these squares including itself, or the total horizontal distance times the total vertical distance. Six of these clues should be one kind, and the other half-dozen should be the other kind.

For instance, the 25 clue on the bottom is obviously the second kind, with five squares visible above and five squares visible left and right. These five-counts include the clue square, so the normal clue that would otherwise occupy that square is 9. (Of course, if a clue can only see its own square horizontally, it gives the same value whichever type it is. Same if it only sees its own square vertically.)

Two final rules govern the black squares. First, no two may touch at an edge, although corners are fine. Second, the black squares must not cut off one section of the grid from the rest.

The highlighted clues that spell Fluttershy's name trace a double-sided spiral, a reference to "Hurricane Fluttershy." I chose kuromasu because Fluttershy has an interesting dynamic with being seen. For the most part, she's not comfortable being the center of attention (see "Green Isn't Your Color" or the aforementioned "Hurricane Fluttershy"). On the other hoof, she has a stare to rival Zoolander's "Blue Steel," powerful enough to resist a cockatrice's magic. That's why I put in two different clue types.

To end on a pleasant note, not only have I composed Twilight's puzzle, but I am ready to follow it up with a seventh going on the "Friendship Is Magic" theme. Well, more or less. You'll see in two weeks (if I don't space things out again).


Tuesday Teaser #54: Jewel-Encrusted Patchwork

I apologize for being late again. I should have remembered that I lose connectivity late at night, but even forgetting that, I should have done all the work earlier. But in any case, here's the first puzzle in this misordered series of pony tributes, a cryptic Shakashaka for Rarity.
Generosity photo Generosity.png
Colors, as usual, are courtesy of the Kinky Turtle. The rules are as follows.

Your aim is to shade in a number of half-cell triangles so that the remaining white space forms a number of rectangles, many tilted at 45 degrees to the grid, that share no edge. Rectangles may touch corner-to-corner or corner-to edge. Triangles may touch anywhere. (As a solving aid, each square cell is divided into quarters. If any part of a given cell is shaded, it is exactly two adjacent quarters.)

Each letter represents a distinct digit from 0 to 4, inclusive. This clue number is the count of black triangles that are to share an edge with that clue's cell in the solution. The meaning of each letter is for you to determine.


Tuesday Teaser #53: Square Dance

Well, shoot. It ain't ideal, but it's still Tuesday in Alaska.
Honesty photo 1394003967.jpg
This here puzzle's a cryptic variant on Country Road. Whatcha need to do is draw a non-crossing loop from square to edge-adjacent square so's there's one segment in each outlined region.

Two provisos there. First, y'all don't need to visit every square, but where two squares share a thick border, ya gotta visit one or both. An' second, those letters represent numbers, cryptogram-style, an' those numbers are the number of squares in that respective region's segment.

There ya go, third pony puzzle on the LiveJournal. Ah figger ah'll put Rarity's up next week, just fer completeness' sake. Yee-freakin'-haw!


Weekend Update

My mom informed me a week or two ago that I have a worldwide fan club. So I figured I should post something for all of you. This isn't exactly that post.

I haven't exactly had a packed schedule the last three months. The garage door is now half-insulated; I gotta finish that. I have get-togethers away from the house on Sundays and Tuesdays, though that's a little up in the air right now. I've also been keeping up with MLP, and even now, I'm lining up an Applejack puzzle for Tuesday.

Now if you'll bear with me a minute, I'm gonna chase that last bit around. Those of you who've been watching, or otherwise keeping track of, the show, know that the six central characters (known to fans as the "Mane Six") have been, one by one, finding special objects that display rainbow shimmers to the camera. I won't discuss the important details here; I just wanted to note that the first three ponies to find their object were also the first three I made puzzles for, which only had one chance in ten of happening. And I say 1/10 instead of 1/120 for two reasons:

A) because I got the order wrong, so it was six times as likely that I'd match three ponies, and
B) because come on, Twilight's obviously going to be the last one in both lists, so I only really needed to arrange five ponies. (Which, see point A, I didn't do quite right.)

Anyway, I replaced the image for Rainbow Dash's puzzle because some grid lines had been lost to artifacting. And speaking of things I've lost, I had a puzzle written for Fluttershy, but it was... unkind, so to speak. The answer grid was all right, but I wasn't sure how to solve it or how many extra clues to give. Then I put it off so long, I lost the notebook I'd put it in. >(\< So that won't be up for a while, though I'll probably include Rarity's puzzle for completeness, with a color adjustment.

And that's really it for now. See you Tuesday!


Tuesday Teaser #52: Zag

I seem to have a tiny dilemma here. I actually had this puzzle written last week, but Tuesdays are now host to "Agents of SHIELD" viewing parties. And sure, I should post these in the morning, but I'm not generally a morning person. So should I move my weekly (ha) puzzle to another day of the week?

Anyway, here's a sudoku variant called X-Sums Sudoku, which I first saw on Para's site (http://puzzleparasite.blogspot.com/). Each outside clue equals the sum of the first X digits in its line starting from the edge where the clue is located, where X equals the nearest such digit.
 photo X-SumsSudokuZag.gif

(Not to be confused with N-Sums sudoku, where N is the last of the N digits to be added. That, incidentally, means not all 36 spots around the grid can have a clue.)


Tuesday Teaser #51: Blatant Self-Insert

I blew past midnight a little. Briefly, the inside edge of this tapa is continuous with its outside edge. Each square counts as 1. Don't completely surround any one corner.

Inside-Outside Tapa photo BlatantSelf-Insert.gif