Number crosswords
 

These are number crosswords by using the numeric digits.
I do not want to have their solutions from anyone else because
I had created them, I already have / know their solutions.

Interested people can entertain themselves during their spare time.

Every crossword has a unique solution
The first VI crosswords are particularly good
From Crossword VII onwards, crosswords tend to get silly.

[CODE]
Crossword I: No zeros, No repeated digits
1 Across: Odd number
2 Across: Even number
3 Across: Perfect square
1 Down: Perfect square
2 Down: Not a multiple of 8
3 Down: Perfect square

Crossword II: No zeros
1 Across: Multiple of 37
2 Across: Multiple of 9
3 Across: Perfect square
1 Down: Multiple of 9
2 Down: Multiple of 9
3 Down: Perfect number

Crossword III: No zeros
1 Across: Perfect square
2 Across: Multiple of 7
3 Across: Perfect square
1 Down: Perfect square
2 Down: Multiple of 7
3 Down: Perfect cube

Crossword IV: No zeros, No repeated digits
1 Across: Perfect square
2 Across: Multiple of 5
3 Across: Perfect square
1 Down: Perfect square
2 Down: Even number
3 Down: Odd number

Crossword V: No zeros, No repeated digits
1 Across: Perfect square
2 Across: Even number
3 Across: Perfect square
1 Down: 29 more than perfect cube
2 Down: Increasing digits
3 Down: Perfect square

Crossword VI: No zeros, No repeated digits
1 Across: Perfect square
2 Across: Even number
3 Across: Odd number
1 Down: Perfect square
2 Down: Not a multiple of 5
3 Down: Perfect square

Crossword VII: No three zeros in same row or in same column
1 Across: Perfect square
2 Across: Leaves remainder 8 when divided by 9
3 Across: Tenth power
1 Down: Multiple of 8
2 Down: Multiple of 16
3 Down: Eleventh power

Crossword VIII: No three zeros in same row or in same column
1 Across: Fifth power
2 Across: Ninth power
3 Across: Fourth power
1 Down: Eighth power
2 Down: Even number
3 Down: Odd number

Crossword IX: No three zeros in same row or in same column
1 Across: Prime number
2 Across: Seventh power
3 Across: Perfect square with digits reversed
1 Down: Perfect cube
2 Down: Sixth power
3 Down: Palindrome

Crossword X: No three zeros in same row or in same column
1 Across: Palindrome
2 Across: Multiple of 37
3 Across: Perfect square
1 Down: Fourth power
2 Down: One more than perfect square
3 Down: Perfect square

Crossword XI: No three zeros in same row or in same column
1 Across: Palindrome
2 Across: Not a multiple of 37, but a multiple of 3
3 Across: Perfect square
1 Down: Fourth power
2 Down: One more than a perfect square
3 Down: Perfect square

Crossword XII: No three zeros in same row or in same column
1 Across: Palindrome
2 Across: Multiple of 111
3 Across: Perfect square
1 Down: Perfect cube
2 Down: One more than perfect cube
3 Down: Perfect cube

Crossword XIII
1 Across: Not natural
2 Across: Triangular number
3 Across: Perfect square
1 Down: Perfect cube
2 Down: x³ + y³ mod 10
3 Down: Perfect cube
HINT: 1 Across is zero, there isn’t any zero elsewhere.

Crossword XIV
1 Across: Not natural
2 Across: Great zero
3 Across: Perfect square
1 Down: Perfect cube
2 Down: One more than perfect cube
3 Down: Perfect cube

Crossword XV
1 Across: Zero
2 Across: 273.15 more than absolute zero in °C
3 Across: One less than 3 digit number, not divisible by anything till 25, and is not a perfect square, and is composite
1 Down: Perfect cube
2 Down: One more than perfect cube
3 Down: Perfect cube

Crossword XVI: No three zeros in same row or in same column
1 Across: Absolute value of absolute zero in °C
2 Across: Perfect square
3 Across: A divisor of 9911
1 Down: 13 × 23
2 Down: Multiple of 100
3 Down: Multiple of 7

Crossword XVII: No zeros, No repeated digits
1 Across: Odd number
2 Across: Even number
3 Across: Perfect square
1 Down: Perfect square
2 Down: Multiple of 8
3 Down: Perfect square
[/CODE]

[QUOTE=Raman;367488]number crosswords[/QUOTE]Crossnumbers?

[QUOTE=Raman;367488]Every crossword has a unique solution.[/QUOTE]

Bullshit.

Here is an other interesting puzzle

I am interested in [COLOR="White"]0 × 0 if meaningful, 1 × 1 if sensible, 2 × 2 if possible, [/COLOR]
3 × 3, 4 × 4, 5 × 5, and if possible higher square matrices
such that their horizontal elements words form a proper sentence,
or possibly a proper question

For example,

WHEN
DOES
FUSE
MELT

is a formation of a proper question

[QUOTE=retina;367484]There is more than one "official" Scrabble word list. I think you are referring to the US version which goes to eight letters. But it does state in the beginning that nine letter words are acceptable just that they are not listed to save space. As for which dictionary to use to adjudicate nine letters and above it would likely be Websters.Get the international version. It goes to fifteen letters. It is not a dictionary, but a word list. It also uses a different set of words. So you see, even the Scrabble players can't agree on which words to use.

Additional: I just looked up the latest US Scrabble list and if seems they have a "Long Word List" available for all the 9-15 letters words as an extra to the up-to-eight dictionary, but it is only available to members of the association. So if you are not a member then you will have to get back to arguing with grandma about how to interpret your little concise abridged dictionary for those longer words.[/QUOTE]

[url]http://wims.unice.fr/wims/wims.cgi?session=0U82AFCAA3.2&+lang=en&+module=tool%2Flang%2Fwfind.en[/url]
[url]http://code.google.com/p/dotnetperls-controls/downloads/detail?name=enable1.txt[/url]

[QUOTE=EdH;367465]When I was playing a lot, long ago, I would also occasionally make words that took in multiple columns, resulting in >8 letters. It would seem the "official" dictionary is indeed, lacking.:smile:[/QUOTE]

To include all possible up to 15 letter words would probably
require a book twice the size. It would cost more, and
think of the trees! :smile:

[QUOTE=Raman;367491]Here is an other interesting puzzle

I am interested in [COLOR="White"]0 × 0 if meaningful, 1 × 1 if sensible, 2 × 2 if possible, [/COLOR]
3 × 3, 4 × 4, 5 × 5, and if possible higher square matrices
such that their horizontal elements words form a proper sentence,
or possibly a proper question

For example,

[CODE]WHEN
DOES
FUSE
MELT[/CODE]

is a formation of a proper question

[CODE]
HOW THEY
ARE HAVE
YOU BEEN
SENT
[/CODE][/QUOTE]

Here is an other interesting puzzle

I am interesting in [COLOR="White"]one example each[/COLOR] [COLOR="White"]of proper valid English words, common / formal , [/COLOR]
one example each of words containing substring
'aa', 'bb', 'cc', 'dd', 'ee', 'ff', 'gg', 'hh', 'ii', 'jj', 'kk', 'll', 'mm', 'nn', 'oo', 'pp', 'qq', 'rr', 'ss', 'tt', 'uu', 'vv', 'ww', 'xx', 'yy', 'zz',

Which letters do you think that it is possible to come up with an example, and which letters do you think that it is not possible? Why so?

What will be your maximum possible score out of 26? Why so?

[QUOTE=Raman;367458]With the program, I found some interesting ones

[CODE]
RIM HOP GAS AND
YOU ANY OIL YOU
END SEX TRY ERG
[/CODE]

I particularly like the first one because one of its diagonals, forward diagonal also form a valid word

[CODE]
ANT RIB AIM
YOU YOU YOU
ERG END END
[/CODE]

We could get other valid interesting ones by one letter modification from above mentioned solutions[/QUOTE]



[QUOTE=fivemack;367437]
I think the best one is

[code]
old
air
key
[/code]

though
[code]
ask
pie
try
[/code]

has some merit also[/QUOTE]

Do you have some scoring based system with your best 10 or so such 3 × 3 crosswords?

[COLOR="White"]Why so?

Why not so?[/COLOR]

I didn't read this initially, but being weekend, and because I saw some heavy names coming into it :P, I had a look. As a former scrabbler I had a SOWPODS list somewhere. All I had to do was to write the proper query, which is like an one-liner in Excel VBA, and wait for about 20 minutes. There are 619294 solutions of 3x3 grids which are SOWPODS-valid, in fact only half (309647) considering the transpose symmetry, from which 14362 don't use repeated letter. Those 14k solutions are in the attached text file, you can check which one is the nicest one. :razz: (I found some of them really funny, hehe, look for sex, pay, lay, etc).

Didn't spend the time to remove the symmetric solution (cutting the file in half) nor to write a better query to avoid them (in fact, this last thing, I tried, but it is not easy, a clever algorithm to avoid them from start would be freaking complicate, and the school-grade solution - comparing each new solution to those already generated - is freaking slow. Any better idea? computing checksums of the involved letters? how to transpose the checksum? this is already a puzzle for another topic...).

I'm scoring by sum(log(frequency in the frequency-annotated word list)), so giving more points to squares containing more common words. I also give a higher score to squares in which lots of the words are different.

Since there aren't very many output squares, it's easy just to look through them and decide which ones are pretty.

I think it's more interesting to try to make the squares using shorter word lists; I've managed a few symmetric squares with six-letter words, though none of them make sense, but seven-letters is starting to get hard.

[CODE]
BOA RIM HOP GAS AND ANT RIB AIM OLD ASK
URN YOU ANY OIL YOU YOU YOU YOU AIR PIE
GET END SEX TRY ERG ERG END END KEY TRY
[/CODE]

[CODE]
BUG RYE HAS GOT AYE AYE RYE AYE OAK APT
ORE ION ONE AIR NOR NOR ION ION LIE SIR
ANT MUD PYX SLY DUG TUG BUD MUD DRY KEY
[/CODE]

[CODE]
சி வா ஜி
வா யி லே
ஜி லே பி
[/CODE]

[QUOTE=retina;367440]Wow, so many restrictions. So in fact we can only use Raman's dictionary and things like Oxford, Websters, Wiktionary are actually NOT okay?

And actually you raise an important question: What is English origin? You might be surprised by the answer if you didn't previously know the real origins.

[size=1]I find this a lot with any word game. People can never seem to agree upon what are "valid" words and what are not. House rules and other arbitrary criteria seem to always creep in.

I think the Scrabble folks got it all sorted out with their word lists ... oh wait, even they couldn't agree on one list to rule them all, they use at least two, maybe more depending upon where you live.[/size][/QUOTE]

On the one side, I would dislike playing words like interjections, abbreviations and other informal non-dictionary words in local scrabble games with family, friends, relatives. Frowning upon them. On the other hand, I would like to allow names of months, days of week, names of planets and their moons, names of languages, currencies because they are globally unchanged. Names of rivers is probably questionable, also names of countries, states, cities, districts, counties and other places. Names of persons are not allowed.

Plural words, past tense words, other less common words, less preferred by me, i.e. disliked by me only in crosswords. Other more common words are more preferred.

I made a Super Scrabble board, tiles by myself out of cardboard sheet and chart paper cut off, without purchasing game, with dynamic tile distribution as in Yahoo! Literati, i.e. pick random 200 tiles out of 400 tiles at start of game to play with, with variable face value even for same letter. Nice to play local Super Scrabble games, with family, friends, relatives.

Super Scrabble board, tiles means with 21 × 21 square board with Quadruple letter scoring places, Quadruple word scoring places, along with single / double / triple / quadruple letter / word scoring places, means with 200 tiles to play game with. As compared to standard Scrabble board, tiles means with 15 × 15 square board without Quadruple letter scoring places, Quadruple word scoring places, along with single / double / triple / no quadruple letter / word scoring places, means with 100 tiles to play game with.

Other games made out of chart paper, cardboard sheet printed off by myself include Tamil tiles, [COLOR="White"]Hindi tiles, [/COLOR]
Hot death Uno game playing cards - an extension to Uno game playing cards, [COLOR="white"]game playing cards - an extension to game playing cards, Clue Master Detective game means game along with playing cards - an extension to Cluedo / Clue game means game along with playing cards.[/COLOR]

[U]Playing scrabble game in other languages[/U]
In Angry Words, we can play scrabble game in Russian along with other Latin based languages.
In Web Feud, we can play scrabble game in Greek, Cyrillic, Arabic, Hebrew, along with other Latin based languages, along with different scoring place distributions, board, not tiles are variable / dynamic.
No scrabble helpers I have for Arabic, Hebrew. I only have scrabble helpers for common languages. Only English I can play without helpers, although in competitive games, I do use helpers for English as well as possibly, as follows as, Wordsmith Tournament, EA Swiss Scrabble, Yahoo! Literati game
Each scrabble game Android application software version has different new feature, one has teacher, which other has not got, one has keep track of our statistics, one has we can play in multiple languages, one has multiple players, one has tournament game knockout / elimination mode, one - Pixie Pit - one, one has big square board to play with, as compared to as small as square board to play with as along with standard mode.

Driven motivated by all these , by , myself , I went ahead to make standard / super scrabble board, tiles in Tamil, Hindi language distribution

I made tiles for Tamil language distribution
To give flexibility, mobility to play with, I made flip tiles decision - for each tile a player can experience his choice to play with - either front side or back side. Blank tiles completely removed. 441 tiles - pick random 100 or 200 at start of game to play scrabble game with depending up on size of board game to play scrabble game with

If flip tiles decisions are made in English scrabble game, it would be extremely flexible, extremely mobile to play English scrabble game with. It would be insanely easily possible
probably [COLOR="white"]as well as possibly as follows as [/COLOR]
to score bingos [COLOR="white"]by myself [/COLOR]
by all seven tiles on almost all turns. Even without blank tiles. Given that in flip tiles decisions, different letters in front and back side of given tile will be mostly those which do not go easily along with in - along with in each other in common words, or different letters in front and back side of given tile which are different variants of same sound pronounciation letter. Given that different letters always appear in different letters in front and back side of given tile, & no letter pair shared [COLOR="white"]- go easily along with in - along with [/COLOR]
in two different - other tiles

Making scrabble game tiles in Hindi is extremely difficult - given that there are four variants for
for each of
of hard consonant. Making common words. Single face tiles, or even two sided flip tile decision does not seem to provide guaranteed flexibility, mobility, playability assuredly. May be quite possibly
Quite probably [COLOR="white"]as well as possibly as follows as[/COLOR] quite

Six faced tiles cubically may be sufficiently needed to get adequate support of common words to play scrabble game with. Four sided tiles cuboid may be sufficiently needed to get adequate support of common words to play scrabble game with. Even without blank tiles. Blank tiles completely removed.

Remembering / recalling dice / dominoes cases / situations with in as with along with in - along with in in as with along with in - along with in these hard languages scrabble game tiles. Comparing / contrasting in as with along with in - along with in in as with along with in - along with in pyramid / prism dice / dominoes cases / situations with these hard languages scrabble game tiles. cases / situations / scenario / positions / locations. cases / situations / scenario / positions / locations

Latin language script based languages alphabet scrabble game tiles - 26 letters, Greek language script - 24 letters, Cyrillic language script - Russian language script / Ukrainian language script - 33 variably different letters, right now tried out off to make scrabble game tiles in - marginally relatively harder borderline Indian languages script based languages - Tamil language script - 247 letters, Hindi language script - ? letters

Indian language script - Tamil language script, Hindi language script, Telugu language script, Malayalam language script, Kannada language script, Oriya language script, Gujarathi language script, Bengali language script, Punjabi language script, Sinhala language script, Tibetian language script, Urdu language script, [COLOR="white"]Persian language script, Arabic language script[/COLOR]
Urdu language script, Persian language script, Arabic language script use Arabic language script

Please tell me if it is possible
. [COLOR="white"]May be quite possibly
Quite probably[/COLOR] [COLOR="white"]as well as possibly as follows as[/COLOR] quite

[COLOR="white"]may be
kindly[/COLOR] to play scrabble game [COLOR="white"]tiles , by[/COLOR] , [COLOR="white"]myself , by , [/COLOR]
devising process / mechanism scrabble game tiles in as with [COLOR="white"]along with in - along with in in as with along with in - along with in[/COLOR]
To play scrabble game tiles devising process / mechanism , - , in in as with [COLOR="white"]along with in - along with in in as with along with in - along with in[/COLOR]
Chinese language script - how many letters
Japanese language script - ? letters
Korean language script - - letters

Why so, why not so?

Well, let me know about it around

[QUOTE=Raman;368912]
Please tell me if it is possible
[COLOR=White].[/COLOR] [COLOR=white]May be quite possibly
Quite probably[/COLOR] [COLOR=white]as well as possibly as follows as[/COLOR] [COLOR=White]quite [/COLOR]

[COLOR=white]may be
kindly[/COLOR] to play scrabble game [COLOR=white]tiles , by[/COLOR] [COLOR=white], myself , by ,
devising process / mechanism scrabble game tiles[/COLOR] in [COLOR=White]as with[/COLOR] [COLOR=white]along with in - along with in in as with along with in - along with in[/COLOR]
[COLOR=white]To play scrabble game tiles devising process / mechanism , - , in in as with along with in - along with in in as with along with in - along with in[/COLOR]
Chinese language [COLOR=White]script [/COLOR]- how many letters
Japanese language [COLOR=White]script [/COLOR]- ? letters
Korean language [COLOR=White]script [/COLOR]- - letters

Why so, why not so?

Well, let me know about it around[/QUOTE]A lot of letters to be [COLOR=White]being[/COLOR]
[COLOR=White]Please tell me if it is[/COLOR] possible
[COLOR=White].[/COLOR] [COLOR=white]May be quite possibly
Quite probably[/COLOR] [COLOR=white]as well as possibly as follows as[/COLOR] [COLOR=White]quite [/COLOR]

[COLOR=white]may be
kindly[/COLOR] to play scrabble game [COLOR=white]tiles , by[/COLOR] [COLOR=white], myself , by ,
devising process / mechanism scrabble game tiles[/COLOR] in [COLOR=White]as with[/COLOR] [COLOR=white]along with in - along with in in as with along with in - along with in[/COLOR]
[COLOR=white]To play scrabble game tiles devising process / mechanism , - , in in as with along with in - along with in in as with along with in - along with in[/COLOR]
Chinese language [COLOR=White]script [/COLOR]- how many letters
Japanese language [COLOR=White]script [/COLOR]- ? letters
Korean language [COLOR=White]script [/COLOR]- - letters

[COLOR=White]Why so, why not so?

Well, let me know about it around[/COLOR]
, In , fact , , , , , [COLOR=White]too , many , further[/COLOR] , more , letters , than , over , all , allowed , tiles , [COLOR=White]allowed , allowed , allowed , over , all , over , all , overall , [/COLOR] [COLOR=Yellow], , , , , t[/COLOR][COLOR=Yellow]o , , , , , [/COLOR][COLOR=Yellow]be , , , , , [/COLOR][COLOR=Yellow][COLOR=White]being [/COLOR], , , , , [/COLOR][COLOR=Yellow]to , , , , , [/COLOR][COLOR=Yellow]be , , , , , [/COLOR][COLOR=Yellow][COLOR=White]being [/COLOR], , , , , [/COLOR][COLOR=Yellow]to , , , , , [/COLOR][COLOR=Yellow]be , , , , , [/COLOR][COLOR=Yellow][COLOR=White]being [/COLOR], , , , , [/COLOR][COLOR=Yellow]to , , , , , [/COLOR][COLOR=Yellow]be , , , , , [/COLOR][COLOR=Yellow][COLOR=White]being [/COLOR], , , , , [/COLOR]