Showing posts with label Puzzle. Show all posts
Showing posts with label Puzzle. Show all posts

17 April 2008

Teach Learn

Cool mirror image...

Source: Internet
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19 January 2008

Top Pangrams

A pangram is a sentence that uses every letter of the alphabet at least once. The shorter the sentence, the better it is. Among the popular pangrams are as follows:

“The quick brown fox jumps over the lazy dog.”

35 letters, 9 repeated: o (4 times), e (3 times), h (2 times), r (2 times), t (2 times), u (2 times)

By changing the second "the" to "a", the above sentence has reduced the number of letters from 35 to 33:


“The quick brown fox jumps over a lazy dog.”


33 letters, 7 repeated: o (4 times), a (2 times), e (2 times), r (2 times), u (2 times)


This version is further modified to reduce one more letter:


“Quick brown dogs jump over the lazy fox.”


32 letters, 6 repeated: o (4 times), e (2 times), r (2 times), u (2 times)


“Pack my box with five dozen liquor jugs.”


32 letters, 6 repeated: i (3 times), o (3 times), e (2 times), u (2 times)


“The five boxing wizards jump quickly.”


31 letters, 5 repeated: i (4 times), e (2 times), u (2 times)


For more fun with words, please visit rinkworks.com.

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15 January 2008

Top Anagrams

DORMITORY
When you rearrange the letters:

DIRTY ROOM


PRESBYTERIAN
When you rearrange the letters:
BEST IN PRAYER

ASTRONOMER
When you rearrange the letters:
MOON STARER

DESPERATION
When you rearrange the letters:
A ROPE ENDS IT

THE EYES
When you rearrange the letters:
THEY SEE

GEORGE BUSH
When you rearrange the letters:
HE BUGS GORE

THE MORSE CODE
When you rearrange the letters:
HERE COME DOTS

SLOT MACHINES
When you rearrange the letters:
CASH LOST IN ME

ANIMOSITY
When you rearrange the letters:
IS NO AMITY

ELECTION RESULTS
When you rearrange the letters:
LIES - LET'S RECOUNT

MOTHER-IN-LAW
When you rearrange the letters:
WOMAN HITLER

SNOOZE ALARMS
When you rearrange the letters:
ALAS! NO MORE Z'S

A DECIMAL POINT
When you rearrange the letters:

I'M A DOT IN PLACE

THE EARTHQUAKES
When you rearrange the letters:
THAT QUEER SHAKE

ELEVEN PLUS TWO
When you rearrange the letters:
TWELVE PLUS ONE

And for the grand finale

PRESIDENT CLINTON OF THE USA
When you rearrange the letters
(With no letters left over and using each letter only once):
TO COPULATE HE FINDS INTERNS

COOOOOOOOOOOOOOOOOOOOOOOOOOOOL

Source: wikipedia.org
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22 November 2007

Missing Square Puzzle - Part 2

A simpler version of the Missing Square Puzzle (depicted in the series of graphics below) uses four equal quadrilaterals and a small square, which form a larger square. When the quadrilaterals are rotated about their centers they fill the space of the small square, although the total area of the figure seems unchanged.





The apparent paradox is explained by the fact that the side of the new large square is actually a little smaller than the original one.

As simple and COOL as that.

Source: wikipedia.org
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21 November 2007

Missing Square Puzzle

According to Martin Gardner, a popular American mathematics and science writer, this puzzle was invented by a New York City amateur magician Paul Curry in 1953. Compare these two triangles below.

Both triangles, the first (Triangle 1) and second (Triangle 2), depict two arrangements of shapes, each of which apparently forms a 13 unit × 5 unit right-angled triangle, but Triangle 2 has one missing square in it.

Both Triangle 1 and Triangle 2 are made up of the same four components, namely:

1) Red right-angled triangle with a measurement of 8 unit x 3 unit.
2) Blue right-angled triangle with of measurement of 5 unit x 2 unit.
3) Green L-shaped figure consisting of 8 square unit.
4) Yellow L-shaped figure consisting of 7 square unit.

However, notice that Triangle 2 has one missing square.

How can this be?

The key to the puzzle is the fact that neither Triangle 1 nor Triangle 2 has the same area as the combined area of its components.

Let’s measure the areas of the four components:

1) Red right-angled triangle. Area = 0.5 x 8 x 3 = 12 square unit
2) Blue right-angled triangle. Area = 0.5 x 5 x 2 = 5 square unit
3) Green L-shaped figure. Area = 8 square unit
4) Yellow L-shaped figure. Area = 7 square unit

Combined area of the four components = 12 + 5 + 8 + 7 = 32 square unit

BUT

Calculated area for Triangle 1 (or Triangle 2 if you ignore the missing square) = 0.5 x 13 x 5 = 32.5 square unit, or so it seems.

So, the combined area of the four components does not tally with the calculated area of Triangle 1 or Triangle 2.

So what does this mean?

The red triangle has a ratio of 8:3 while the blue triangle has a ratio of 5:2. This means these two hypotenuse lines do not have the same gradient. So the apparent combined hypotenuse in both Triangle 1 and Triangle 2 are actually bent. In other words, the hypotenuse in the red triangle is not parallel (in the same straight line) as the hypotenuse in the blue triangle for both Triangle 1 and Triangle 2.

Note the grid point where the red and blue hypotenuses meet in Triangle 1, and compare it to the same point in Triangle 2; the edge is slightly over or under the mark. Overlaying the hypotenuses from Triangle 1 and Triangle 2 results in a very thin parallelogram with the area of exactly one square, the same area “missing” from Triangle 2.

Got it?

Source: wikipedia.org, marktaw.com
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16 November 2007

Vanishing Leprechaun

Made in 1968 by the W. A. Ellott Co. in Toronto. When the top pieces are placed one way, there are fourteen leprechauns and when they are placed the other way, there are fifteen. Magic!

While switching the top two pieces gave this image ...

Notice the difference? The top image has 14 little men, while the bottom image has 15 little men! Where did the extra man come from or where did he go?!

Did you notice the little-person under the second 'e' in 'Leprechaun'? In going from 14 to 15 leprechauns, the poor guy lost a knee-cap! The man under the red 'THE' got the knee-cap, but gave up a foot.

Try rearranging the leprechauns in the order of give-and-take. Start with the knee-cap-loser. Then comes the knee-cap-gainer/foot-loser. Then the chap who gained that foot, and so on. This continues to a little man with crossed arms who acquires a toupe of sorts. In order, the 14 complete leprechauns are ...

Instead of three pieces, the above image has two pieces - top and bottom. Slide the bottom over, giving the second man the first man's knee. What do we find?

15 leprechauns!

Using this ordering of the leprechauns, it is clear where the extra man comes from. Each of the original 14 men (but the last) gives some of himself to the next man, but each man receives less than he gives. The extra leprechaun pieces add up to form a new man!

Isn't this COOL?

Source: angelfire.com
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