Merry Christmas
and Happy Hanukah from Joseph Young’s Puzzle –ria! This week’s blog will be a
tad less intense and a mite more mellow than usual.
Oh sure, we
will still serve up a merry menu of puzzle slices, but some will be ones you
may want to share with family members, especially precocious youngsters, if you
encounter any leisurely down-time over the holidays.
But first, here
are a few of our favorite Yuletide things, things that lift us up into the
spirit of Christmas:
O. Henry’s “The Gift of the Magi”;
The evangelist
Luke’s nativity narrative;
Secular carols:
“Silver Bells”; “Sleighride”
Sacred carols: “HallalujahChorus”; “Angels We Have Heard on High”; “O Holy Night”;
Spiritual
carols: “Mary Had a Baby”; “Mary’s Boy Child”;
And, movies
galore:
“Bells of St.Mary’s”; “It’s a Wonderful Life”; “Miracle on 34th Street” (NatalieWood’s 1947 version); “A Christmas Story” (master storyteller Jean Shepherd’s
magna opus); “The Apartment”; “Stalag 17” (kinda hokey but a nice plot); “The Nativity Story” (a nice narrative of what the Nativity might have been like)…
And, our
sleeper pick, “We’re No Angels” (1955 version, a bit hokey but great plot and
performances by Bogart, Ustinov and Aldo Ray. See screen shots, above)
Now here is this week’s
merry menu of pine-fresh Puzzleria! slices. Hop aboard and join us on our Magical
Mystical Yuletide Tour, on our SantaNantucket Sleighride to the snowy peaks of Puzzledom:
Menu
O, Miss Kris Tree…
Miss Kris Tree stands
in the family room by the picture window, skirted and all decked out with
shiny, sparkly “adornaments,” with a ribbony rainbow of gaily wrapped presents at her feet… er, her foot. Also at her foot are her pet shrubs, Puppytree and Kittentree. Solve the
following riddles regarding Miss Kris Tree:
What does Miss Kris
Tree do when people applaud her?
After a few too many
Christmas cookies, where does she keep her “spare tire”?
What does she prefer having her Christmas day turkey dinner with?
How does Miss Kris
Tree describe someone who is in a jittery state of anticipation?
What does Miss Kris
put scoops of ice cream into?
When Kris wears a
hooded parka how does she accessorize it?
What nickname does
Miss Kris Tree use when referring to Hollywood?
Besides her hooded
parka, what does Miss Kris Tree wear to keep warm?
What type of salad
dressing does Miss Kris Tree pour onto her chef salad?
What are her two
favorite math subjects at school?
What does Puppytree
say when he observes a particularly well-decorated limb of his mistress, Miss
Kris?
What does Miss Kris
Tree’s pet kitten, “Kittentree” call the spherical ornaments worn by her
mistress?
What does a sun-deprived
Miss Kris Tree apply to her trunk when she notices it is becoming a bit too “birchbarkish”?
What is Miss Kris
Tree’s favorite soft drink/soda?
Who is Miss Kris Tree’s
favorite pro golfer?
What is her favorite
Tom Hanks movie?
When in an
alliterative mood, who is her favorite New Jersey rock star?
Christmas Quiz
Mastery
Using 18 Scrabble tiles, place the words “Christmas,” “Quiz” and “Mastery” simultaneously on a standard
Scrabble board so that the three words are connected and score the maximum
point total possible.
Note #1: If you use the starred center square, treat it as a double-word score.
Note #2: Words may be “stacked” one atop another horizontally, or set adjacent to one another vertically, but only if all the two-letter words formed are official Scrabble words, in either the TWL or SOWPODS lists. For example, “tq,” “eu” and “yz” are not official Scrabble words.
Note #1: If you use the starred center square, treat it as a double-word score.
Note #2: Words may be “stacked” one atop another horizontally, or set adjacent to one another vertically, but only if all the two-letter words formed are official Scrabble words, in either the TWL or SOWPODS lists. For example, “tq,” “eu” and “yz” are not official Scrabble words.
Yule Tied In a Bow
Slice:
All naughty, none
nice
Santa is making a
list (below) and checking it for consistencies. The words and phrases in his
list all have something in common. All are “naughty.” None are nice. Exactly what
is it they have in common that makes them “naughty?”
Nativity; Christmas
Eve; Away in a manger; Our Savior is born; The Gift of the Magi; Wise men; We three kings of Orient are bearing gifts, we traverse afar; Shepherds; Cherubim;
Seraphim; Saint Nick; Grandma Got Run Over By A Reindeer; Joy; Christmas Time Is Here; I’m dreaming of a white Christmas; Fruitcake; Quince or mincemeat
pies; Christmas quizzes; Frosty the Snowman; Happy Xmas (War Is Over); Creche
scenes; Red and green decorations; A star set atop the evergreen tree; Frosted
cookies; Candy canes; Popcorn strings; Bright, shiny ornaments; Do They Know It’s Christmas?;
Tiny Tim; Ebenezer Scrooge; the Grinch; Eggnog; Nutmeg; Ribbons, bows and
wrapping paper covering boxed-up presents; Ave Maria; Up On The Housetop;
Chestnuts roasting on an open fire, Jack Frost nipping at your nose; Santa’s
workshop; Earth Today Rejoices; the Nutcracker Suite; The Chipmunk Song; O
Tannenbaum; Poinsettias; Yorkshire pudding; Advent wreaths; Rockin’ Around The Christmas Tree... but not that other “Rock Around...” song that was a smash hit in the same decade; A partridge in a pear tree; The stockings were hung by the
chimney with care; Do You Hear What I Hear?; December twenty-fifth... or twenty-five... or twenty-five-or-six to four (or three-thirty-five-or-four) if you’re in Chicago; I Saw Three
Ships; Unto Us A Boy Is Born; Peace on Earth; “Go near, see him, my pax”; Frankincense, myrrh... and whatever that third gift was that the other magus (what was his name? Gaspar? Caspar?) brought to Jesus... I can never quite remember the type of treasure he had borne and bestowed on the newborn babe... wait, now it is somewhat coming back to me... and so, on second thought, maybe not, never mind; Gonna find out who’s naughty or nice;
Hint: There is only
one acceptable answer, and it is a short one. But the short answer (ironically,
like O. Henry’s “The Gift of the Magi”) is nice, not naughty, so Santa would have
to keep it off his above list. (The title of this slice, “All naughty, none
nice,” is similarly ironic.)
O Little Noun of
Bethlehem
Think of a singular
noun associated with the birth of Jesus in Bethlehem. Remove three of its
letters and add a common personal pronoun to the end to form a plural noun
associated with the birth of Jesus in Bethlehem.
Replace the pronoun you added
with a different personal pronoun to create the singular form of the plural
noun you previously created.
What are these three
nouns?
Wise Women Seek Him
Still Slice:
“May a pax be upon
your manger!”
Wise men from the
East followed the Star of Bethlehem to the site of Christ’s Nativity. But let’s
say a trio of wise women from the West also paid a Nativity visit – Germanic
wise women, three proto-English-speaking, not-so-obtuse Angles, Saxons or Jutes
who picked up a smattering of Latin along the way on their eastward trek toward
Bethlehem.
Let’s also say that
one of the women, upon beholding the babe in the manger, in a
hybrid “Latinglish” tongue suggests to her companions:
“Go near, see him, my pax.”
Rearrange the letters
of those six words to form four words – three of them plural – that often
appear in crèche scenes. What are they?
just, as served, two became
Every Friday at
Joseph Young’s Puzzle -ria! we publish a new menu of fresh word puzzles, number
puzzles, logic puzzles, puzzles of all varieties and flavors. We cater to
cravers of scrumptious puzzles!
Our
master chef, Grecian gourmet puzzle-creator Lego Lambda, blends and bakes up
mysterious (and sometimes questionable) toppings and spices (such as alphabet
soup, Mobius bacon strips, diced snake eyes, cubed radishes, “hominym” grits,
anagraham crackers, rhyme thyme and sage sprinklings.)
Please post
your comments below. Feel free also to post clever and subtle hints that do not
give the puzzle answers away. Please wait until after 3 p.m. Eastern Time on
Tuesdays to post your answers and explain your hints about the puzzles. We
serve up at least one fresh puzzle every Friday.
We invite you to make it a habit to “Meet at Joe’s!” If you enjoy our weekly puzzle party, please tell your friends about Joseph Young’s Puzzle -ria! Thank you.
I am writing this on Thursday night and hope I have time to post before I have to go to the train station.
ReplyDeleteJoe, this seems to be a good time to thank you the brain teasers (sometimes brain bruisers) that you have provided for our enjoyment(?) over the past eight months. I anticipate checking out what new treasures you have for us each Friday morning. As I have said before, I have no idea how you come up with three or four good conundrums each week. I am satisfied to come up with a piggyback or two each week.
My wife and I are getting on a train and heading back east on Friday, so I won’t be posting much in the next few days (even though I have more time than for working on the answers), since wi-fi connections are sparse. I hope to reappear here in cyberspace when I get to Chicago on Sunday afternoon or Ohio on Monday morning (not much hope in Montana or South Dakota on Saturday).
This comment has been removed by the author.
DeleteYou are welcome, David. Thank you for your kind words about our Puzzleria! blog. I cannot think of a better Christmas gift than that.
DeleteI hope to keep Puzzleria! open for as long as I can. Eventually it may have to evolve into a more participatory site, with other puzzle enthusiasts contributing original “from scratch” and original "piggyback" puzzles to the mix (as Puzzlerians! like you, Paul, Bob Kerfuffle, ron and others have already been doing to great effect, along with guest-contributing “wild cards” like skydiveboy.)
This infusion would strengthen the blog, giving it more diversity, variety and fresh approaches to puzzle creation. I’m better at creating word puzzles than I am at number or logic puzzles, for example.
Also, I need to try creating some spacial/geometrical puzzles. Mine tend to be too alphabet-based, or else overly ironic. I may have somehow gotten my elements wrong and have mistaken “Ir”idium for “C”arbon! (except for this week's Evergreen Slice)
Great puzzle variety is a major reason Will Shortz has been so successful with his NPR Sunday puzzles over the years, IMO. He has a virtual nationwide staff of puzzle writers tossing their best efforts over his transom!
So, David, thanks for your support and encouragement. And, safe travels…
‘Twas the night before Lego would post Puzzleria!
A wise man and his wife to their homestead said, “See ya!”
Their stockings were stashed in their luggage with care
In hopes that their train trek would soon get them there,
To points east, the Big Sky, South Dakota, Chicago…
And re-access to wi-fi and spheres that are blogo!
BlogoLambda
Oops, I misread my departure time so I have more some time to answer some of your Ss, so I guess my post above is BS.
ReplyDeleteI have some of the ESs. I particularly like on of the math ones.
The SS is good for the train. A question on the rules: do you use the double/triple letter/word scores for each word the uses that space? For example, if the "s" in both "Christmas" and "mastery" are on a double word square, do both words double?
Got the YTIaBS. Even more irony than you first thought.
Got the EAPS.
The WWFHSS is also good train work. More irony that they are German.
Got the PS.
I note that we were both liberal this week with the use of "ironic". I often wonder whether many people who use "ironic" have somehow gotten their elements wrong and have mistaken "Mo"lybdenum for "I"odine.
David,
ReplyDeleteI will respond more completely to your comments anon. But I wish to address your excellent Scrabbley Slice (SS) question, asap.
You ask: “Do you use the double/triple letter/word scores for each word the uses that space? For example, if the "s" in both "Christmas" and "mastery" are on a double word square, do both words double?”
My answer is “Yes.” In other (greater-than-one) words, treat each word (and count each’s letter-value score) as if it is independent of the other two words, even though all three are connected at two points. That is, tabulate their values as if none were connected and you were spelling them out with 20, not 18, tiles.
Let me confess here that I am pretty much “all thumbs” (kind of like the Jack of Clubs... thanks sdb) when it comes to Scrabble. I have never won a game of Scrabble in my life, and I have played quite a few.
I’ve often wondered what a game of Scrabble would be like if you played it on a board devoid of double- and triple- letter and word scores, and perhaps even with no letters with a value greater than one. The element of chance (drawing letters blindly) would still apply, but I believe this would be a “more pure” contest.
LegoLambda… Scrabble score: 25 (with both the G and M on triple letter scores)
In Shelby, MT. Got the WWFHSS.
ReplyDeleteDavid,
DeleteCongrats on the WWFHSS solve. I guess it’s my version of Will’s NPR puzzle, “A few Texans come in/Santa Fe, New Mexico,” just an exercise in anagramming. I do like the plural words in my version, however. BTW, it is now called the WWSHSS. I have great wi-fi access and have been tweaking this week’s blog.
I’ve come up with two relatively high-scoring answers to my Scrabbley Slice. There may be higher scores. I just don’t know. I guess we’ll find out on Tuesday, Christmas Eve Eve.
How’s the scenery from the rails so far?
LegoLocoMotivation
David, it looks like MT is not as MT of Wi-Fi service as you thought. I have done that trip by bus--beautiful MTs and lots of MT spaces.
DeleteHappy solstice in a wee while! Lego, thanks for enlightening us each week!
Made it to Elyria, both trains were on time this year. Nice scenery, a real nice sunrise on Saturday, not much snow the whole way. Once we were out of the Northwest, not much green. We had over an hour to walk around Chicago yesterday.
DeleteIn Havre, MT. Piggyback time.
ReplyDeleteWhat kind of tree is Miss Kris Tree, according to Kittentree?
Who puts the presents under Miss Kris Tree, according to Kittentree? According to Puppytree?
Is that Piggyback Daylight Time or Piggyback Standard Time? I guess we can now add a pet Piggytree to our Miss Kris Tree menagerie.
DeleteI might have figured out your first, I've "nailed" your second, and am still gnawing on your third. (Or is it gnawing at me?)
LegoDomesticPettingZoo
Now in Williston, ND, and back in the dark. How does Miss Kris Tree keep her tree skirt from being stolen?
ReplyDeleteWhere does Miss Kris Tree keep her money?
ReplyDeleteWhat does Piggytree like best about Miss Kris Tree?
Legolambda,
ReplyDeleteI was wondering how to give a clue as to the total I've achieved for SS. Would it be OK to reveal the largest prime number which divides into the total I've achieved? What property might you reveal about the total you've achieved?
Enya_and_Weird_Al_fan,
DeleteYes, that sounds like a good plan. Thank you for asking. I will use your "prime criterion" to reveal my highest total achieved later today.
Lego...
Ok, before I reveal my magic square completely, I thought I'd repost
ReplyDeletemy challenge one last time. This time I reveal a lot more!
> I thought a magic square that *I* had made would be a welcome sight
> here on Puzzle-ria!. I thought I'd show mine side-by-side with the
> well known 8x8 square made by Benjamin Franklin, when it occured to
> me that by leaving some of the numbers out of my square, I'd be
> posing a rather challenging puzzle:
>
. . . . . . . . . . . . .. . . . . . . Mine (I've left out some of
. . . . . Ben Franklin's: . . . . . . . the numbers as a challenge):
>
╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗ . ╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗
║52 │61 │ 4 │13 ║20 │29 │36 │45 ║ . ║ . │ . │ 4 │13 ║20 │29 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║14 │ 3 │62 │51 ║46 │35 │30 │19 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║53 │60 │ 5 │12 ║21 │28 │37 │44 ║ . ║ . │ . │ 5 │12 ║21 │28 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║11 │ 6 │59 │54 ║43 │38 │27 │22 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣ . ╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣
║55 │58 │ 7 │10 ║23 │26 │39 │42 ║ . ║ . │ . │ 7 │10 ║23 │26 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║ 9 │ 8 │57 │56 ║41 │40 │25 │24 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║50 │63 │ 2 │15 ║18 │31 │34 │47 ║ . ║ . │ . │ 2 │15 ║18 │31 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║16 │ 1 │64 │49 ║48 │33 │32 │17 ║ . ║ 1 │ . │ . │ . ║41 │ . │ . │ . ║
╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝ . ╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝
>
(End of part one.)
>
ReplyDelete> . . . . . . . . . . . . . . Properties:
>
> 1. All rows and columns add to . .. 1. All rows and columns add to
>. . 260 stopping halfway at 130. . . .. 260 stopping halfway at 130.
>. . Main diagonals do NOT add to . . .. Main diagonals ALSO make 260
>. . 260, however. . . . . . . . . . . . ALSO stopping halfway at 130.
>
> 2. All bent diagonals & parallel .. 2. All the same bent diagonals &
>. . bent diagonals add to 260. . . . .. parallel bent diagonals add
>. . Ex: from 9 diagonally up to 12, . . to 260, but broken diagonals
>. . plus 21 diagonally down to 24. . .. ALSO add to 260!
>
>. . Ben probably considered his . . . . So mine is THREE times as
>. . square to be twice as magical . . . magical as normal pandiagonal
>. . as pandiagonal magic squares, . . . magic squares and HALF AGAIN
>. . since there are twice as many . . . as magical as Ben's!
>. . bent diagonals and parallel bent
>. . diagonals as broken diagonals.
>
> 3. The shortend bent diagonal, . .. 3. The same shortend bent
>. . from 53 up to 4 and 29 down to . .. diagonal, (now with different
>. . 44, with the top two corners . . .. numbers) with the top two
>. . adds to 260. . . . . . . . . . . .. corners adds to 260.
>
>. . You can slide this configuration .. You can also slide this
>. . up and down and it remains magic; . configuration up and down AND
>. . that is, the numbers within the . . ALSO ROTATE IT 90 degrees
>. . configuration still add to 260. . . left or right and IT STILL
> . . . . . . . . . . . . . . . . . . .. remains magic!
>
> 4. The two-piece diagonals around . 4. The two-piece diagonals
>. . the corners: 14, 61, 36, 19, . . .. around the corners also add
>. . 47, 32, 1 and 50 add to 260 and . . to 260 and can be divided in
>. . can be divided in half top and . .. half top and bottom OR left
>. . bottom to make 130. . . . . . . . . and right to make 130!
>
> 5. All 2x2 subsquares within Ben's .5. Same property.
>. . magic square add to 130.
>
> To help you fill in the numbers (after all, there ARE 2^6 * 6! magic
> squares all having the properties I've listed; 2^3 * 6! if you don't
> count rotations and reflections; just as there are 2^6 * 6! magic
> squares all having the same properties of Ben Franklin's magic square;
> 2^4 * 6! if you don't count all the rotations and reflections of his
> square -- and no, that's not a misprint; since some properties of
> Ben's square no longer hold if for example, his square is rotated 90
> degrees clockwise) - *anyway* - to help you narrow it down:
>
> 1/4 of all the numbers 1-64 occur in the SAME POSITIONS in my square
> as in Ben Franklin's square. I now reveal EXACTLY WHICH numbers in the
> square those are.
>
> The number 1 is in the lower left corner in my magic square. In fact,
> the entire ascending main diagonal consists of 1, 10, and those
> numbers up to 64 whose digits ADD to 10. As a matter of fact, that
> last clue I give you was an extra freebie, since once I told you that
> 1 was in the bottom left corner, you now had EVERY CLUE you needed in
> order to figure out MY magic square!
> P.S.: In addition to revealing which numbers are in the same cells
> in both Ben Franklin's and my square, I've also revealed the position
> of the largest prime number which exactly divides the total which I
> achieved in this week's SS challenge.
(End of part two.)
>
ReplyDelete> Now, repeating what had been the first new hint since my original
> post when I had posted this challenge the first time:
>
> Consider properties 1, 2, and 5 which I claim my own magic square
> to have: What property can you conclude that ALL 4 QUADRANTS of my
> square MUST have in order for my square to be able to have those 3
> properties?
> (It's a property which the quadrants of Ben's square DO NOT have!)
>
> If you know what that property is, you'll know where 64 must go!
Now a hint to the above hint:
Property #5, about all 2x2 subsquares throughout the square adding to
the same total, is actually a pretty powerful property having some
consequences:
Consequence #1: All subsquares of even by even dimension have their
. . . . . . . . 4 corners adding to the same total as the 2x2
. . . . . . . . subsquares.
Consequence #2: All subsquares of even by odd dimension have the sum
. . . . . . . . of the 2 corners on one even side equal to the sum of
. . . . . . . . the 2 corners on the other even side.
Consequence #3: All subsquares of odd by odd dimension have the sums
. . . . . . . . of the two pairs of opposite corners equal to each
. . . . . . . . other.
┌───┬───┬───┬───┐ Consequence #4: In any 4x4 subsquare, the sum of
│ . │ a │ b │ . │ . . . . . . . . one broken diagonal added to the
├───┼───┼───┼───┤ . . . . . . . . sum of the same broken diagonal
│ . │ b │ a │ . │ . . . . . . . . rotated 90 degrees adds to twice
├───┼───┼───┼───┤ . . . . . . . . the sum of any 2x2 square.
│ b │ . │ . │ a │
├───┼───┼───┼───┤ Consequence #5: Likewise, the sum of one broken
│ a │ . │ . │ b │ . . . . . . . . diagonal equals itself rotated
└───┴───┴───┴───┘ . . . . . . . . 180 degrees.
Now for any parallel bent diagonal in my 8x8 square, what conclusion
can you make regarding the sum of the two closest fitting broken
diagonals in 2 of the quadrants?
For any broken diagonal in the 8x8, can you make the same conclusion
in *its* two closest fitting quadrants broken diagonals?
Can you force a conclusion regarding ALL broken diagonals within each
quadrant of my 8x8?
Enjoy!
Since my last 3 posts above, I've managed to IMPROVE my scrabble score
ReplyDeletein the SS challenge this week. So now I reprint the two magic squares
now including the NEW highest prime number that divides my score.
. . . . . . . . . . . . .. . . . . . . Mine (I've left out some of
. . . . . Ben Franklin's: . . . . . . . the numbers as a challenge):
>
╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗ . ╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗
║52 │61 │ 4 │13 ║20 │29 │36 │45 ║ . ║ . │ . │ 4 │13 ║20 │29 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║14 │ 3 │62 │51 ║46 │35 │30 │19 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║53 │60 │ 5 │12 ║21 │28 │37 │44 ║ . ║ . │ . │ 5 │12 ║21 │28 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║11 │ 6 │59 │54 ║43 │38 │27 │22 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣ . ╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣
║55 │58 │ 7 │10 ║23 │26 │39 │42 ║ . ║ . │ . │ 7 │10 ║23 │26 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║ 9 │ 8 │57 │56 ║41 │40 │25 │24 ║ . ║ . │ . │ . │ . ║ . │ . │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║50 │63 │ 2 │15 ║18 │31 │34 │47 ║ . ║ . │ . │ 2 │15 ║18 │31 │ . │ . ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║16 │ 1 │64 │49 ║48 │33 │32 │17 ║ . ║ 1 │ . │ . │ . ║41 │ . │17 │ . ║
╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝ . ╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝
Enya_and_Weird_Al_fan,
DeleteI am sure that your highest Scrabble total for the SS puzzle is the same as mine. Our answer's highest prime factor appears in your amazing 8-by-8 magic square immediately above. Like you, I too had achieved a somewhat lower total in my first try, one with a largest prime factor that appears in the 8-by-8 magic square that appears in your 1:54 AM post from early Sunday morning.
Incidentally, E_a_W_A_f, thanks for sharing this challenge with us. It really is quite a feat. I have not yet solved it (I tend to plod a bit with solving magic squares), but I will keep trying. It is up to you, of course, to decide when you want to reveal to us how all the numbers from 1 to 64 fall into your 8-by-8 grid.
LegoGridChallenged
Enya_and_Weird_Al_fan,
DeleteI thought I was going to solve your magic square, and I still may, but I hit a speed-bump on the road to Nirvana. I followed the grid properties, patterns and "gimmes" you so generously gave us. I filled in from the bottom up, exactly 75 percent of the squares, but then hit a snag while trying to fill in the 49th square with a somewhat unlucky number.
I might have made an arithmetical error (I'm not using a calculator) or maybe I'm sleep-deprived, or else just don't yet fully understand the "gifts of this Magi"-cal Square!
There are 49 2-by-2 sub-squares, not just 16, correct? Am I making a common mistake that many solvers make?
There are seemingly no end to the nifty number patterns in the square; I can sense its elegance even though I have not yet achieved 8-by-8 consummation.
LegoStrandedInTheNorthwest
As a matter of fact, there are 64 2-by-2 subsquares, as they do wrap around. In Ben Franklin's square, 17-16-45-52 is the 2x2 subsquare having 17 in its upper left corner.
DeleteCurious how the number 49 seems to trouble you. You hit a snag while trying to fill in the 49th square? Could this have something to do with the fact that last Sunday, San Francisco was mathematically eliminated from playoff contention, thanks to our beloved Seahawks and so it became absolutely certain that the next Superbowl, Superbowl #49, will NOT include the 49ers?
Enya_Weird_Al_and_Misguided_Seahwks_fan,
DeleteThanks for your non-misguidance on the subsquares…
Speaking of which , I am, like you are, seven-square against the S.F. Forty-niners. But I am also foursquare against the Seattle Seahawks. Their only redeeming quality is that their QB was a Wisconsin Badger for a spell. “You don’t need no stinkin’ Badgers?” Au contraire!
No, the NFC team that will compete in the 49th running of “the big game” will hail not from the Great Northwestern rainforest, but from the the land of the ice and snow or, more likely, from the frozen tundra!
LegoLambeauLombardiLegacyLambastesRestOfTheLeague
Enya_and_Weird_Al_and_fan,
ReplyDeleteWell, I finally solved your 64-number magical square, after using all your clues. To finish solving it I needed the nugget that the sum of the digits in each number along the lower-left to upper-right diagonal sum to ten. (In the other, upper-left to lower-right, diagonal, the digits sum to 5 or 6.)
Your square is richly rife with such patterns, like Pascal’s Triangle. The necessary “balance" and numerical distribution such a square requires becomes evident when you enter its 64 counting numbers in order from left to right in a 64-number square grid. Then notice exactly where in that “counting number grid” the numbers of each of the magic square’s four quadrants fall.
It is also interesting to count from 1 to 64 in your magic square, hopping from spot to spot around the grid. You make a lot of “knight moves.” You do in Ben’s square also, except that they are “extended knight moves.”
How long did it take you to construct this mathematical masterpiece, E_a_W_A_f?
Thank you for bestowing upon us this Giftof the Magi…cal Square!
LegoOffTheGrid
I'm not much good a riddles, but I got a few of them, I think. (Geometry, Trigonometry, Tinseltown?)
ReplyDeleteI'm not much good at "find the common property" either, but I got to wondering at work this morning whether or not there was an L in that looooong list of words and phrases. So I checked when I got home, and, lo and behold, there wasn't!
The last THREE puzzles seem to be related; iMAGIne that!
MANGER>MAGI>MAGUS
MARY/MAGI/OXEN/SHEEP
MAGISTRATE>MAGI/STRATA
Which leaves the Scrabble puzzle, which reminded me off the Scrabble games I used to play with my mother. I think ONE TIME I talked her into keeping score, and when we finished that game she said "OK, now let's just play the usual way."
"The usual way" followed all the standard rules except those involved in scoring. Ignore those numbers in the corners of the tiles. Ignore the light and dark red and blue squares. It's not about somebody getting more points and winning; it's about making an aesthetically pleasing grid with lots of interesting words, long words, unusual words...
And using ALL the letters. That's where we would depart from the rules. When it got to the point where one of us couldn't make a word, we would 'pool' our letters (and intellects) to try to get all those letters on the board. If we did that, we won. We didn't always win, but a lot of the time, we did.
So, I had to read up on the scoring rules. I quote:
"If a word is formed that covers two premium word squares, the score is doubled and then re-doubled (4 times letter count), or tripled and then re-tripled (9 times letter count) as the case may be. Note that the center * square is a light red square and therefore doubles the score for the first word."
Although not explicitly mentioned in the rules (copyright 1953), I believe a doubled and then tripled (6 times letter count) word score is also possible.
Which is why I claim 102 points for CHRISTMAS, entered horizontally, ending at the midpoint of the rightmost column.
42 points for QUIZ intersecting CHRISTMAS at (where else) I.
And 48 points for MASTERY intersecting CHRISTMAS at the final S.
192 points. I think Mom would be proud. Or she might just say "OK, now let's play the usual way."
I haven't really been trying to understand the magic square, but I just caught a glimpse of something about 'knight moves'. Knight's tours? Hamiltonian paths? Maybe I should try to wrap my brain around this.
Paul.
DeleteI have never met your mother but I love her! She sounds like a wonderfully wise woman, one willing to tweak the “official rules” of a game in a quest to make it more creative, cooperative, fun and less arbitrary (in both non-mathematical senses of that word)… “Yahoo! I just drew a Q, Z and Y. I think I can spell out QUARTZY!”
Your Scrabble total of 192 points eclipses my best effort by 22 points (see my “official”(!) answers, below). Not bad for a fellah who almost never “played according to Hoyle!” (And 192 has a very, very low highest-prime-factor.)
Congrats.
You did not iMAGIne the MAGI and plural nexuses, of course, in the final trio of puzzles.
I encourage you (and others) to investigate Enya_and_Weird_Al_fan’s gargantuan magic-square puzzle. It is really a wonderfully elegant feat of mathematics and, as I said earlier, it strikes me as Pascal-Trianglesque.
LegoMakeMineADouble…WordScore
I think you have a few too many Magi lurking in this week's puzzles. I know, you have only Three "Magi" (Wise Men)!
ReplyDeleteWhat if it had been Three Wise Women (Magae, or Maggies!) instead of Three Wise Men?
They would have asked directions
Arrived on time
Helped deliver the baby
Cleaned the stable
Made a casserole, and
Brought practical gifts!
EASPS:
Manger>>>Magi>>>Magus
WWSHSS:
Magi, Sheep, Oxen, Mary.
PS:
Magistrate>>>Magi + Strata.
YTIaBS:
No items contain an L. All non-L words or phrases are “naughty”, all words with Ls are “nice.” Or “All” (the word “all”) is naughty because it contains an L and “none” (the word “none”) is nice as it contains no L...So L-words are both "naughty" & "nice!"
ron,
DeleteWise Women = Magae or Maggies?
MAGnIficent idea! Although I did believe I had left myself off the hook of male chauvinism by introducing a token trio of non-males into my “Wise Women Seek Him Still Slice.”
But I suspect Word Woman (who is likely working diligently at preparing this week’s PEOTS blog) would agree with your assessment. I make Alan Alda and Phil Donohue look like Andrew Dice Clay and Attila the Hun. (BTW, here in Fargo-flyover country, we we eat “hotdish.” “Cassi(us)role” is a part in some Shakespeare play that highbrows might show in New York or some such hoity-toity place.)
Good solving, as usual.
LegoQuicheIntolerant
ron, MAGAE or MAGGIES--I like them both. Now change one letter in the latter to get some avian creatures baked in a pastry.
DeleteIndeed, I am working on PEOTS now. The latest teaser: CARP in a bathtub (inspired by my son's Czech Republic girlfriend's traditions).
Merry Christmas Eve Eve. Wild and windy here--a two dog night.
Yuletide answers, Part 1 (for the record):
ReplyDeleteEvergreen Slice:
O, Miss Kris Tree…
Miss Kris Tree stands in the family room by the picture window, skirted and all decked out with shiny, sparkly ornaments and a ribbony rainbow of gaily wrapped presents at her foot. Also at her foot are her pet shrubs, Puppytree and Kittentree. Solve the following riddles regarding Miss Kris Tree:
Answers:
What does Miss Kris Tree do when people applaud her?
Takes a bough
After a few too many Christmas cookies, where does she keep her “spare tire”?
In her trunk
What does she prefer having her Christmas day turkey dinner with?
All the trimmings
How does Miss Kris Tree describe someone who is in a jittery state of anticipation?
That person is on pines and needles.
What does Miss Kris put scoops of ice cream into?
Pine cones
When Kris wears a hooded parka how does she accessorize it?
With hood ornaments
What nickname does Miss Kris Tree use when referring to Hollywood?
Tinseltown
Besides her hooded parka, what does Miss Kris Tree wear to keep warm?
Her fir coat
What type of salad dressing does Miss Kris Tree pour onto her chef salad?
Balsamic vinaigrette
What are her two favorite math subjects at school?
Twigonometry; “Gee-I’m-a-tree”
What does Miss Kris tell nervous strangers about her pet puppy, “Puppytree”?
His bark is worse than his bite.
What does Puppytree say when he observes a particularly well-decorated limb of his mistress, Miss Kris?
Bough-wow!
What does Miss Kris Tree’s pet kitten, “Kittentree” call the spherical ornaments worn by her mistress?
Firballs
What does a sun-deprived Miss Kris Tree apply to her trunk when she notices it is becoming a bit too “birchbarkish”?
“Tanning balm”
What is Miss Kris Tree’s favorite soft drink/soda?
Root beer (or, for extra credit, Barq’s Root Beer)
Who is Miss Kris Tree’s favorite pro golfer?
Tiger Woods
What is her favorite Tom Hanks movie?
Forrest Gump, (or, for extra credit, Forrest Stump)
When in an alliterative mood, who is her favorite New Jersey rock star?
Spruce Springsteen
Scrabbley Slice:
Christmas Quiz Mastery
Using 18 Scrabble tiles, place the words “Christmas,” “Quiz” and “Mastery” simultaneously on a standard Scrabble board so that the three words are connected and score the maximum point total possible.
Note #1: If you use the starred center square, treat it as a double-word score.
Answer: 170 points
Christmas = 102; Quiz = 42; Mastery = 26; total, 170
Place Christmas vertically on the board so that its “H” is on the center square. Place Quiz horizontally so that its “I” intersects with the “I” in Christmas. Place Mastery horizontally so that its “M” intersects with the “M” in Christmas. (The largest prime factor in 170 is 17.)
(Our second-best total is 164 points, with a largest prime factor of 41.)
(See Paul's above post to see how he achieved a point totla of 192. Ding-ding-ding-ding-ding!)
Lego...
Yuletide answers, Part 2 (for the record):
ReplyDeleteYule Tied In a Bow Slice:
All naughty, none nice
Santa is making a list (below) and checking it for consistencies. The words and phrases in his list all have something in common. All are “naughty.” None are nice. Exactly what is it they have in common that makes them “naughty?”
Nativity; Christmas Eve; Away in a manger; Our Savior is born; The Gift of the Magi; Wise men; We three kings of Orient are bearing gifts, we traverse afar; Shepherds; Cherubim; Seraphim; Saint Nick; Grandma Got Run Over By A Reindeer; Joy; Christmas Time Is Here; I’m dreaming of a white Christmas; Fruitcake; Quince or mincemeat pies; Christmas quizzes; Frosty the Snowman; Happy Xmas (War Is Over); Creche scenes; Red and green decorations; A star set atop the evergreen tree; Frosted cookies; Candy canes; Popcorn strings; Bright, shiny ornaments; Do They Know It’s Christmas?; Tiny Tim; Ebenezer Scrooge; the Grinch; Eggnog; Nutmeg; Ribbons, bows and wrapping paper covering boxed-up presents; Ave Maria; Up On The Housetop;Chestnuts roasting on an open fire, Jack Frost nipping at your nose; Santa’s workshop; Earth Today Rejoices; the Nutcracker Suite; The Chipmunk Song; O Tannenbaum; Poinsettias; Yorkshire pudding; Advent wreaths; Rockin’ Around The Christmas Tree... but not that other “Rock Around...” song that was a smash hit in the same decade; A partridge in a pear tree; The stockings were hung by the chimney with care; Do You Hear What I Hear?; December twenty-fifth... or twenty-five... or twenty-five-or-six to four (or three-thirty-five-or-four) if you’re in Chicago; I Saw Three Ships; Unto Us A Boy Is Born; Peace on Earth; “Go near, see him, my pax”; Frankincense, myrrh... and whatever that third gift was that the other magus (what was his name? Gaspar? Caspar?) brought to Jesus... I can never quite remember the type of treasure he had borne and bestowed on the newborn babe... wait, now it is somewhat coming back to me... and so, on second thought, maybe not, never mind; Gonna find out who’s naughty or nice;
Hint: There is only one acceptable answer, and it is a short one. But the short answer (ironically, like O. Henry’s “The Gift of the Magi”) is nice, not naughty, so Santa would have to keep it off his above list. (The title of this slice, “All naughty, none nice,” is similarly ironic.)
Answer:
Noel (“No L”); There is not a single letter “L” in any of the words or phrases of Santa’s list. The number of L’s in the list is zero, or “naught,” which is the root and original sense of the word “naughty.” (“Naughty” meant “needy” or “possessing nothing.) Santa’s list possesses “naught one L.”
The word “noeL” does contain an “L,” however, so, ironically, it would be out of place on the naughty list. The title of the slice, “All naughty, none nice,” is ironic because “all” is nice (ell-full) and “none” is naughty (ell-less).
Lego...
Yuletide answers, Part 3 (for the record):
ReplyDeleteEasy As Shepherd’s Pie Slice:
O Little Noun of Bethlehem
Think of a singular noun associated with the birth of Jesus in Bethlehem. Remove three of its letters and add a common personal pronoun to the end to form a plural noun associated with the birth of Jesus in Bethlehem.
Replace the pronoun you added with a different personal pronoun to create the singular form of the plural noun you previously created.
What are these three nouns?
Answer:
MANGER; MAGI; MAGUS
MANGER – NER = MAG;
MAG + I = MAGI
MAG – I + US = MAGUS
Wise Women Seek Him Still Slice:
“May a pax be upon your manger!”
Wise men from the East followed the Star of Bethlehem to the site of Christ’s Nativity. But let’s say a trio of wise women from the West also paid a Nativity visit – Germanic wise women, three proto-English-speaking, not-so-obtuse Angles, Saxons or Jutes who picked up a smattering of Latin along the way on their eastward trek toward Bethlehem.
Let’s also say that one of the women, upon beholding the babe in the manger, in a hybrid “Latinglish” tongue suggests to her companions:
“Go near, see him, my pax.”
Rearrange the letters of those six words to form four words – three of them plural – that often appear in crèche scenes. What are they?
Answer:
MAGI; SHEEP; OXEN; MARY
Plurality Slice:
Just a piece in our game...
just, as served, two became
Take a singular word that can be a synonym for “justice of the peace.” Change the last letter to a different letter and divide the result to form two plural words. What are they?
A MAGISTRATE can be a “justice of the peace”
MAGISTRATE > MAGISTRATA = MAGI + STRATA
Lego…
Not sure how often RoRo wanders through the desert to get here, but one of my favorite Smith College dishes was Cheese Strata. Definitely fit for a Magistrate.
DeleteFor the piggybacks:
ReplyDeleteWhat kind of tree is Miss Kris Tree, according to Kittentree? M-yew.
Who puts the presents under Miss Kris Tree, according to Kittentree? According to Puppytree? Santa Claws. Santa Paws.
How does Miss Kris Tree keep her tree skirt from being stolen? She uses a hemlock.
Where does Miss Kris Tree keep her money? A branch bank.
What does Piggytree like best about Miss Kris Tree? Her sty-le.
Note also that my first post above was written with no "l" (Noel). It really was written on Thursday night, before I saw the YTIaBS, hence when I called it BS in a subsequent post, I meant Bonus Slice.
ReplyDeleteDavid,
DeleteM-yew to you too! I fared better on your Blaine’s piggybacks than your Puzzleria! piggybacks this week. The only one I “nailed” was “Santa Claws.” My friend thought Miss Kris Tree might keep her money in Woodstocks (R.I.P. Joe Cocker).
Okay, let me get this straight: You composed your December 19 at 8:20 AM comment Thursday evening, before I uploaded Puzzleria! (and its “Noel”-solutioned puzzle slice) Friday morning at 4:43 AM. You didn’t include and “L” in your comment (using “conundrum” instead or “puzzle,” for example, and “piggyback” instead of piggyback puzzle,”), thereby turning your comment itself into a Bonus Slice, with its answer, “No L” (Noel).
Do great minds think alike, or what!
And, even though I, with my YTIaBS, perpetrated the same “Noel” shenanigans that you did with your initial comment, I didn’t have an inkling of what you were up to, even when you called it “BS!”
egoambda
My post in Blaine's Christmas puzzle was also a form of "no L". I did indeed write my post Thursday night, in a Word document, in hopes of being the first to post on Friday. However, I started thinking about it earlier in the week, when a realized I needed a way to avoid the use of "Lego" and "puzzle".
DeleteGreat minds think alike. So do ours.
You have the soul of a puzzlemeister, David. What would you have done if my name were Joel?
DeleteLegoWarpedMindsThinkAlike
I could have gone formal and used "Mr. Young" or impersonal and not addressed you specifically at all.
DeleteI also couldn't use "slice" or "Puzzle-ria".
I told you guys about a magic square that I had made that was better
ReplyDeletethan the one which Ben Franklin had made. Well, it's been *more*
than 2 weeks now, did you figure out my square on your own? If not,
here it is:
And here is my 8x8 magic square (with Ben Franklin's for comparison!)
. . . . Ben Franklin's . . . . . . . . . . . . . Mine
╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗ . ╔═══╤═══╤═══╤═══╦═══╤═══╤═══╤═══╗
║52 │61 │ 4 │13 ║20 │29 │36 │45 ║ . ║60 │53 │ 4 │13 ║20 │29 │44 │37 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║14 │ 3 │62 │51 ║46 │35 │30 │19 ║ . ║ 3 │14 │59 │54 ║43 │38 │19 │30 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║53 │60 │ 5 │12 ║21 │28 │37 │44 ║ . ║61 │52 │ 5 │12 ║21 │28 │45 │36 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║11 │ 6 │59 │54 ║43 │38 │27 │22 ║ . ║ 6 │11 │62 │51 ║46 │35 │22 │27 ║
╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣ . ╠═══╪═══╪═══╪═══╬═══╪═══╪═══╪═══╣
║55 │58 │ 7 │10 ║23 │26 │39 │42 ║ . ║63 │50 │ 7 │10 ║23 │26 │47 │34 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║ 9 │ 8 │57 │56 ║41 │40 │25 │24 ║ . ║ 8 │ 9 │64 │49 ║48 │33 │24 │25 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║50 │63 │ 2 │15 ║18 │31 │34 │47 ║ . ║58 │55 │ 2 │15 ║18 │31 │42 │39 ║
╟───┼───┼───┼───╫───┼───┼───┼───╢ . ╟───┼───┼───┼───╫───┼───┼───┼───╢
║16 │ 1 │64 │49 ║48 │33 │32 │17 ║ . ║ 1 │16 │57 │56 ║41 │40 │17 │32 ║
╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝ . ╚═══╧═══╧═══╧═══╩═══╧═══╧═══╧═══╝
> . . . . . . . . . . . . . . Properties:
>
> 1. All rows and columns add to . .. 1. All rows and columns add to
>. . 260 stopping halfway at 130 . . . . 260 stopping halfway at 130.
>. . Main diagonals do NOT add to . . .. Main diagonals ALSO make 260
>. . 260, however. . . . . . . . . . . . ALSO stopping halfway at 130.
>
> 2. All bent diagonals & parallel .. 2. All the same bent diagonals &
>. . bent diagonals add to 260 . . . . . parallel bent diagonals add
>. . Ex: from 9 diagonally up to 12, . . to 260, but broken diagonals
>. . plus 21 diagonally down to 24. . .. ALSO add to 260!
>
>. . Ben probably considered his . . . . So mine is THREE times as
>. . square to be twice as magical . . . magical as normal pandiagonal
>. . as pandiagonal magic squares, . . . magic squares and HALF AGAIN
>. . since there are twice as many . . . as magical as Ben's!
>. . bent diagonals and parallel bent
>. . diagonals as broken diagonals.
>
> 3. The shortend bent diagonal, . .. 3. The same shortend bent diago-
>. . from 53 up to 4 and 29 down to . .. nal, now 61 up to 4 and 29
>. . 44, with the top two corners . . .. down to 36, with the top two
>. . adds to 260. . . . . . . . . . . .. corners adds to 260.
>
>. . You can slide this configuration .. You can also slide this
>. . up and down and it remains magic; . configuration up and down AND
>. . that is, the numbers within the . . ALSO ROTATE IT 90 degrees
>. . configuration still add to 260. . . left or right and IT STILL
> . . . . . . . . . . . . . . . . . . .. remains magic!
>
> 4. The two-piece diagonals around . 4. The two-piece diagonals
>. . the corners: 14, 61, 36, 19, . . .. around the corners also add
>. . 47, 32, 1 and 50 add to 260 and . . to 260 and can be divided in
>. . can be divided in half top and . .. half top and bottom OR left
>. . bottom to make 130. . . . . . . . . and right to make 130!
>
> 5. All 2x2 subsquares within Ben's .5. Same property.
>. . magic square add to 130.
Enjoy!
P.S.: To legolambda, congratulations on figuring out my magic square. Frankly, I'm a bit bummed that besides you, apparently no one else even tried!!!
ReplyDeleteAnd I should've remembered that it's skydiveboy who's my fellow Seahawks fan. But anyway, this Sunday, in addition to rooting for my beloved Seahawks to beet the St. Louis Rams, I'll also be happy if your Green Bay Packers beet Detroit. Of course, I won't be too sad if they lose, ONLY PLEASE DON'T TIE!!! ;-)
EaWAf-
DeleteI still aim to try the magic square. I just haven't had a block of time yet. Also, I am a current Seattle resident, so the Seahawks are my adopted team (I grew up in Philadelphia, so the Eagle's are my first love, but since they have been eliminated ...).
And I will get to it sometime this kalpa. Or next. Promise.
Delete