The worlds first riddle!

Mark:


ENIGMA 1452

Original: 27x27
Pieces: 27x6, 27x21




What a star!






In an m x n grid of squares there are m+1 lines in one direction and n+1 in the other. In choosing a rectangle out of those, you're choosing one upper line, one lower line, a left line and a right line, so there are C(m+1,2)*C(n+1,2) such rectangles.

The following program has a function, rects, to evaluates the number of rectangles in an a x b grid of squares, and uses it to try all the possible combinations of square grid size (up to 31 squares on a side, as beyond that there are more than three digits in the number of individual squares in the grid).

DECLARE FUNCTION rects! (a!, b!)
FOR a = 1 TO 31
orig = rects(a, a)
FOR i = 1 TO a / 2
new1 = rects(a, i)
new2 = rects(a, a - i)
IF 3 * (new1 + new2) = 2 * orig THEN
PRINT USING "## ###### ## ###### ###### ###### ######"; a; orig; i; new1; new2; new1 + new2; (new1 + new2) * 3 / 2
END IF
NEXT i
NEXT a

FUNCTION rects (a, b)
ap = a + 1: bp = b + 1
rects = ap * bp * a * b / 4
END FUNCTION







So TTH's larger square was a 27x27 square of little squares, and was cut below the 6th row of squares, into a 6x27 rectangle of little squares, with 7938 rectangles that could possibly be formed from the gridlines and a 21x27 rectangle of little squares, with 87,318 visible rectangles. The total of 95,256 is 2/3 of the original 142,884 rectangles that could be seen with the 27x27 array of little squares.





Farther Sun



LE
…..VEL

LE
…..VEL = unlevel or uneven

FREE EE E= free and easy

Stormy:


LE
…..VEL = unlevel or uneven


(Split level)




FREE EE E= free and easy

How do you do it?






I like my Starbucks and usually order an Americano, which is made by adding hot water to shots of espresso. The ratios they use are 2 shots for a Tall (12 oz), 3 shots for a Grande (16 oz), and 4 shots for a Venti (20 oz).


What simple rule do I use when ordering any size to ensure I always receive my coffee at a consistent strength




……US
O…………..H
E…………...E
C…………...R
…….AB





all all all all
…..CE

STARBUCKS
[size=7]I'm not sure what you're after here. If you get the small two ounces short and the medium one ounce short, you'll achieve your goal.


herbaceous border

once (and) for all[/size]

[size=7]just say "add an extra shot of espresso"

that way the ratio of espresso to water will be equal in each case, 1/3:
(2+1)/(12-3) = (3+1)/(16-4) = (4+1)/(20-5) = 1/3[/size]

Depression is merely anger without enthusiasm, so Eagles may soar, but Mustela frenata* don't get sucked into jet engines.



*Ok! Who knew what that meant without having to look it up?




Mark:



……US
O…………..H
E…………...E
C…………...R
…….AB …………= herbaceous border



all all all all
…..CE…………… .= once (and) for all


I don't know how you managed that!





Thoh:

Just say "add an extra shot of espresso"

That way the ratio of espresso to water will be equal in each case, 1/3:
(2+1)/(12-3) = (3+1)/(16-4) = (4+1)/(20-5) = 1/3



He is absolutely right!






CUT
REST
REST
REST




O_ER_T_O_

CUT
REST
REST
REST = a cut above the rest

O_ER_T_O_= painless operation

Stormy:

CUT
REST
REST
REST = a cut above the rest

O_ER_T_O_= painless operation


Too good!





There are nine trees in my large backyard that form a rough circle. I've decided to use 4 of the trees as fence posts. This will create a quadrilateral region where my dogs can play.


How many different quadrilateral can deformed by joining any 4 of the trees




….chilles endon
a………....t



… .C
DRAIN
…..S
…..H

severed achilles tendon



cash down the drain

QUADRILATERAL
[size=7]C(9.4) = 126[/size]

Tryagain, lift that Dumas: un pour tous , tous pour un.

I say, always try to be modest and be proud of it! Two wrongs are only the beginning; experience is something you don't get until just after you need it.




Thoh:


….chilles endon
a………....t = severed achilles tendon


… .C
DRAIN
…..S
…..H = cash down the drain


You nailed it.




Mark:

QUADRILATERAL
C(9.4) = 126



Which must mean:

C(9,4) = [ 9 ! / ( 4 ! X 5! ) ] = 126



Epenthesis gently crafted, "lift that Dumas: un pour tous , tous pour un."

Which I am sure is Flemish for; three blind mice…


"Eh, Epenthesis, let us reckon upon accidents! Life is a chaplet of little miseries which the philosopher counts with a smile. Be philosophers, as I am; sit down at the table and let us drink. Nothing makes the future look so bright as surveying it through a glass of chambertin."


Or, as they are fond of sayin' down hereaways; Rien ne réussit comme le succès.

Unless that is; a damn big parrot, coz they can really suck seeds!






Randy and CJ agreed that they would each mow one-half of the lawn.
The lawn is a 25'x45' rectangle.

The mower cuts a 2 foot wide path. If Randy starts at one corner and mows a path completely around the outside, how many times should he go around to mow one half of the lawn



DAM
DAM
REST



TIME
TIME
ING

MOWER
[size=7]every time he goes around, the width decreases by 4 ft an the length decreases by 4ft
original area = 25*45 = 1125 so needs to cut half that or 562.5 ft = he needs to leave a new rectangle of size 562.5
(25-4x)(45-4x) = 562.5 where x is the number of times he goes around
x = 2.315[/size]

MOWER
[size=7]I get 2.3325.

He needs to mow 562.5 square feet, which is 281.25 linear feet.
First lap is 132 feet long.
Second lap is 116 feet long (248 linear feet so far).
The third lap is 100 feet long, and he's got 33.25 linear feet left.
Therefore, the he goes 2.3325 laps.[/size]

Weep," said Athos, "weep, heart full of love, youth, and life! Alas, would I could weep like you!"

http://en.wikiquote.org/wiki/Alexandre_Dumas

comically there is pathos and bathos in Athos. and who is alice?

And now, farewell to kindness, humanity and gratitude. I have substituted myself for providence in rewarding the good; may the God of vengeance now yield me his place to punish the wicked…...When you get out PJ, come say hello.





Thoh:

MOWER
every time he goes around, the width decreases by 4 ft an the length decreases by 4ft
original area = 25*45 = 1125 so needs to cut half that or 562.5 ft = he needs to leave a new rectangle of size 562.5
(25-4x)(45-4x) = 562.5 where x is the number of times he goes around
x = 2.315


Mark:

MOWER
I get 2.3325.

He needs to mow 562.5 square feet, which is 281.25 linear feet.
First lap is 132 feet long.
Second lap is 116 feet long (248 linear feet so far).
The third lap is 100 feet long, and he's got 33.25 linear feet left.
Therefore, the he goes 2.3325 laps.



Let me consult my notes:


The total area of the lawn: 45*25= 1125 square feet half of the area: 1125/2=562.5 square feet. (So far, so good)

The mower cuts 2 feet wide , if he starts from the left up corner and move along the rectangle area covered by the mower at the first round: 2*(2* 45) + 2(2*(25-4))=180+84=264 square feet

Second round: 2*(2*(45-4)) + 2*(2*(25-8))=164+68=232 sq ft
3rd round only moving along the longer side: 2*(45-8)=2*37=74 sq ft

So 264+232+74= 570 sq ft which is close to half of the lawn CJ will be happy because she will mow 7.5 square feet less.

My bad, as I don't exactly answer the question set.




Epenthesis writ, "comically there is pathos and bathos in Athos. and who is alice?"



A.L.I.C.E. Artificial Intelligence: Promoting the development and adoption of ALICE.

Are you looking to adopt?




HO USE




MIND
..^

[size=7]broken home[/size]

Isn't Pelosi trying to fix it?

Mark:

HO USE = broken home



Francis:


HO USE = Isn't Pelosi trying to fix it?

Very good, it sure is a house divided!



I have lost:

A) A five-digit integer (not starting with zero) that consists of five consecutive digits, in any order, which when multiplied by 8 gives a five-digit integer that consists of the other 5 digits

B) A five-digit integer that consists of five consecutive digits, in any order, which when divided by 8 gives a five-digit integer (not starting with zero) that consists of the other five digits

For each answer, give the integer that consists of the five consecutive digits.




Puzzle (by Sam Loyd)

Two children, who were all tangled up in their reckoning of the days of the week, paused on their way to school to straighten matters out…

"When the day after tomorrow is yesterday," said Priscilla, then 'today' will be as far from Sunday as that day was which was 'today' when the day before yesterday was tomorrow!"

On which day of the week did this puzzling prattle occur




CCCCCCCC












A W A K E

LOST
[size=7]A) 12345 * 8 = 98760
B) 87456 / 8 = 10932

wide awake[/size]