Sunday, May 07, 2006

Geometry Puzzle

Does anyone out there know how to solve this puzzle? My friends and I are completely stumped by it.

Both the triangles are exactly the same size. The four portions are exactly the same size. How is it then, that when they are moved around, there is an extra square "hole" that appears?


Blogger Macht said...

It happens because the hypotenuse (in both pictures) isn't a straight line. Shape B goes horizontally 5 squares and vertically 2 squares while shape A goes horizontally 8 squares and vertically 3 squares. In order for the hypotenuse to be straight, they would have to have the same ratios. So in the top picture, the hypotenuse caves inwards while in the bottom picture, the hypotenuse caves outwards.

1:47 PM  
Blogger Keith said...


You are my new hero.

5:22 PM  
Anonymous Anonymous said...

Another way to explain it is that when you move C down so that its top row is now in line with the top row of D, it allows for one box to be unfilled. It does allow the triangle A and B to switch places, but via the previous post, that does not mean much.

6:12 AM  
Blogger AmericanPascal said...

This is a good example of self deception. On the surface we are inclined to make assumptions that we don’t even realize are being made – the picture (graph in this case) says a thousand words. But we are conditioned to read certain words or things into any picture we look at. However, when we start to analyze and to question our position, we often find the errors in our views. This is such a great example since the “obvious” missing square was in fact non-existent; and the explanation revealed the true error in our perception. This explains many things… if we could only see beyond the obvious.

7:37 PM  
Anonymous Anonymous said...

aNOTHER way to discover the problem is to realize that triangle "A" and triangle "B" can't possibly be similar triangles: one is 8x3, the other is 5x2. Since the 8/3 is not the same as 5/2, the acute angles must be different.

Basically, the "big triangle" made up of the four shapes combined is NOT a real triangle in either configuration.

2:40 PM  
Anonymous price per head service said...

I'll be visiting your site again to gather some more valuable information. You truly did a good job.

7:31 PM  
Anonymous voip service providers said...

I Like your blog,will sharing this with my friends, excellent work.
voip service providers

7:54 AM  
Anonymous MBA dissertation said...

I am very thankful to you for posting such stuff.This really help me lot.

MBA Dissertation Proposal

3:45 AM  
Anonymous Anonymous said...

Does anyone know the answer to this equation?

Three straight lines joined together so that they are rotated symmetric, four straight lines of three different lengths joined together so that they are vertically symmetric and then repeated later on, a semi-circle repeated later on, three straight lines joined together so that they are vertically symmetric, two straight lines joined
together to form a right-angle and three straight lines joined together so that they are laterally symmetric.

10:30 PM  
Blogger Midnight Essays said...

Another method to clarify it is that when you move C down so that its upper row is now in streak with the highest row of D, it permits for one rectangle to be empty. It does permit the threesome A and B to change spaces, but via the preceding post, that does not nasty much.paying someone to write a paper

10:41 PM  
Blogger Tony Hawk said...

Three straight lines joined together with the goal that they are turned symmetric, four straight lines of three distinct lengths joined together so they are vertically symmetric and after that rehashed later on, a semi-circle rehashed later on, three straight lines joined together so they are vertically symmetric, two straight lines joined together to shape a right-point and three straight lines joined together so they are along the side symmetric.
startup video maker

10:35 PM  
Blogger Blank Card said...


You can hack and break into a bank's security ATM Machine without carrying

guns or any weapon. How is this possible? First of all we have to learn

about the manual hacking of ATM MACHINES and BANKING ACCOUNTS HOW THE ATM

MACHINE WORKS. If you have been to the bank you find out that the money in

the ATM MACHINE is being filled right inside the house where the machine is

built with enough security .to hack this machine We have develop the special

blank ATM Card which you can use in any ATM Machine around the world. this

card is been programmed and can withdraw 8,000 USD within 24 hours in any

currency your country make use of there is no ATM MACHINES this BLANK ATM

CARD CANNOT penetrate into it because it have been programmed with various

tools and software before it will be send to you. The card will make the

security camera malfunction at that particular time until you are done with

the transaction you can never be trace. it also has a technique that makes

it impossible for the CCTVs to detect you, there are so many other hacker

out there whom claim to be real you have to be very careful they can never

create this card all they want is your money. no ATM card can be able to

withdraw $50,000 usd each day that is impossible, getting the card you will

forward the company your address details so we can proceed to send the card

to you once you agree to the terms and conditions. you can contact us on

email now at blankcardinter



8:51 PM  
Blogger Mahrukh Babar said...

Good Morning i'm so obsessed wit your perfect article and ave read it twice. Well 6 week ultrasound what to expect this is i guess all the mothers were looking for so try this.

1:40 PM  
Blogger Mahrukh Babar said...

Extraordinary post. I discovered your site ideal for my requirements. Extremely valuable data particularly the last part. Much obliged to you for imparting to us, and we truly trust you will keep on updating or post different articles. Well read i am broken
this is soo amazing and superb so do visit my blog instantly.

1:41 PM  

Post a Comment

Links to this post:

Create a Link

<< Home