Puzzles and Conundrums

[sydneyjohn57]

1 hour ago, Pdoggg said:

Yes, well done Sydney John!  This was really stumping me.

Since the blue and red triangles have different slopes then neither A or B are actually triangles but rather they are quadrilatetals. So A and B have different areas with neither being exactly 32.5 which would be the area of a 13 x 5 triangle. 

It's almost imperceptible but the diagonal in fig A is just below a straight line and in fig B it is just above a straight line with the total of the differences making 1 square. It is most noticeable when looking at the points where the blue and red triangles meet each other in each diagram by looking at the same point in the other diagram.

[Tomcat]

 

Well done Gents ... i put the bigger image up as the old image was to small but the new image you can spot the slight differences...  i wish i had the bigger image the first time i posted the puzzle . Its enough to drive one crazy if you cant get the answer and was bugging me for ages hence the re visitation

https://en.wikipedia.org/wiki/Missing_square_puzzle

 

[dixon cox]

A couple of short-time quickies - Family riddles ..

1.  I am your mother's brother's only brother in-law. 
-  Who am I?

2.  Looking at a picture a man says "Brothers and sisters I have none, but this man's father is my father's son".
- Who is the man in the picture in relation to the man looking at it?

[cobber32]

1. Your father

2. His son

[Quinn]

Question 2 I remember from about 50 or more years ago - he's looking at a picture of - see page 93 !

[dixon cox]

4 hours ago, cobber32 said:

1. Your father

2. His son

Correct! .. on both counts 

[Tomcat]

this one is very well known among those that like these novelties...i see it in a copy of Scientific American ... the best of its kind and a real fooler in every sense of the word. This is E.H.Adelsons gift to the world.

The answer to this poses a sort of conundrum of its own....can you see what is remarkable about the two squares A and B ?

[sydneyjohn57]

At a wild guess I'd say they are each a different size to all the other 'squares' if in fact they are squares. Would have to be some sort of optical illusion to do with the green cylinder and its shadow?

Now I'll have to google it to see how far wrong I am.

[sydneyjohn57]

3 minutes ago, sydneyjohn57 said:

At a wild guess I'd say they are each a different size to all the other 'squares' if in fact they are squares. Would have to be some sort of optical illusion to do with the green cylinder and its shadow?

Now I'll have to google it to see how far wrong I am.

Ok, completely on the wrong track for that one.

[Tomcat]

well you were partly on track Syd... if you think about it , without giving anything away we will give you a Bronze . its all to do with Psychophysics or so it seems. The word squares is just a description and one could just call them tiles or checkers. ...the answer is a bit of a  hammer blow to the head when one finds out whats going on here

[dixon cox]

12 hours ago, Tomcat said:

...can you see what is remarkable about the two squares A and B ?

They are the same colour.

Their neighbouring shades and the shadows make them appear completely different. Nice illusion 

[dixon cox]

Can you decipher the hidden code?

[Quinn]

[Tomcat]

10 hours ago, dixon cox said:

They are the same colour.

Their neighbouring shades and the shadows make them appear completely different. Nice illusion 

congrats Dixon...

[Tomcat]

10 hours ago, dixon cox said:

Can you decipher the hidden code?

 

Is Quinn giving us a clue here Dixon or have you driven a Tractor over his new carpet

[seven]

10 hours ago, dixon cox said:

They are the same colour.

Their neighbouring shades and the shadows make them appear completely different. Nice illusion 

A and B are same colors? Please explain before I book an appointment for new specs.

[Tomcat]

1 hour ago, seven said:

A and B are same colors? Please explain before I book an appointment for new specs.

If you get a small piece of white card and cut two small holes in it and then place it over A and B you will see they are the same colour.

Otherwise your brain fools you into seeing two colours , light and dark

Incredible ... or unbelievable..

 

https://www.businessballs.com/amusement-stress-relief/shadow-optical-illusion/

https://en.wikipedia.org/wiki/Checker_shadow_illusion

 

[dixon cox]

2 hours ago, Tomcat said:

Is Quinn giving us a clue here Dixon or have you driven a Tractor over his new carpet

I think he just doesn't like these types of images 

 

2 hours ago, seven said:

A and B are same colors? Please explain before I book an appointment for new specs.

Here, just for you 

[sydneyjohn57]

15 hours ago, dixon cox said:

Can you decipher the hidden code?

Sure can.

[seven]

10 hours ago, Tomcat said:

Incredible ... or unbelievable..

 

10 hours ago, dixon cox said:

Here, just for you 

If this is the explanation then indeed it is unbelievable .

[Tomcat]

intermission

 a pesky announcement bar column has embedded itself to the right of the page in this topic

how do i get rid if it....i dont how know it appeard but its ruined the layout

 

help

 

[seven]

1 hour ago, Tomcat said:

a pesky announcement bar column has embedded itself to the right of the page in this topic

Same here. All blank though.

[Tomcat]

On 9/11/2020 at 12:34 AM, sydneyjohn57 said:

Sure can.

why dont you tip your mit then Syd... ?   i cant see anything other than a carpet with some marks too erratic to be a code ..i tried the eye squinting and all that stuff

[sydneyjohn57]

2 hours ago, Tomcat said:

why dont you tip your mit then Syd... ?   i cant see anything other than a carpet with some marks too erratic to be a code ..i tried the eye squinting and all that stuff

My old eyes see 2 numbers. Top line 2488 and underneath 421

[dixon cox]

8 hours ago, sydneyjohn57 said:

My old eyes see 2 numbers. Top line 2488 and underneath 421

You are painfully close, Syd, and are clearly doing it right. However, two numbers are wrong.

 

11 hours ago, Tomcat said:

why dont you tip your mit then Syd... ?   i cant see anything other than a carpet with some marks too erratic to be a code ..i tried the eye squinting and all that stuff

 TC, there is a way to see what these images hold and once it happens it can become quite satisfying. It is also a nice exercise for your eyes. There are many to be found on the internet if you google 'magic eye'. Most people give up too easily. 

Here are a few tips:  Do NOT focus on the image itself, look through it. If you can see your reflection in your screen then that gives an idea of how it works. You do need two eyes. Relax them. Don't give up. I position myself about arms length from the screen to see them.