The Confuzzle
Intro: The Confuzzle
Simplicity and confusion don't often go hand in hand. Here's a confusing puzzle, or "confuzzle", that can be made in minutes. Although it involves simple geometric principles, it is surprising and even baffling to some people. In short, it's a quick, easy project that is tons of fun to show others.
Here's a short video showcasing the presentation and effect of the puzzle:
STEP 1: What You Need
1) Two different colors of posterboard (each measuring at least 8.5" x 8.5").
2) Scissors
3) Pencil
4) Ruler
5) Black magic marker
STEP 2: Measuring and Cutting
Connect the dots as shown in one of the photos below. This will create a slanted cross pattern.
Use scissors to cut out the square . Then create four pieces by cutting along the remaining lines. The pictures below show all of the necessary dimensions.
STEP 3: Creating a Background Frame
Framing the confuzzle is essential. To do this, create a background with a frame by keeping the square "intact" and tracing it on another piece of poster board. Use a black magic marker to trace it. White posterboard works very well for this. Then cut out the square (leaving the black marker lines visible).
Another option is to trace it before you cut the original square into four pieces. This is actually easier.
STEP 4: Presenting the Confuzzle
With the puzzle assembled as a square, rotate each of the four pieces 180 degrees and line them up together. They will fit perfectly inside the background frame, but there will be an open spot in the center. Rotate each piece 180 degrees again and the open spot will not be there. This is the baffling part to most people.
How is it possible for the four pieces to fill the background frame completely and then, when rotated, not fill the frame completely? Shouldn't the physical area be the same no matter how the pieces are arranged? These are questions that you and others may ask yourself/themselves. Of course the area is the same. It's just confuzzling!
Again, here's a short video showcasing the presentation and effect of the puzzle. Enjoy!:
62 Comments
squishyjoss 10 years ago
DUO0037 10 years ago
jerryloo 10 years ago
Not sure if you received my PM concerning production of your Confuzzle?
Jerry
LUCCHINA 13 years ago
greeenpro 13 years ago
Seriously...best of luck to all of the other authors.
Zombie_BBQ 11 years ago
sciman1 11 years ago
mrmuffin 11 years ago
Dusk Shadows 11 years ago
greeenpro 11 years ago
micraman 12 years ago
Sorry if the photo resolution isn't good. The photo was taken with a phone cam and a magnifying glass.
Thanks for the GREAT puzzle!
greeenpro 12 years ago
fizzix18 13 years ago
DHagen 13 years ago
Richard5 13 years ago
The reality is that on a 13 x 5 triangle the hypotenuse at that intersection falls slightly above the grid intersection. The drawing is drawn wrong to mislead you.
If you carefully draw a 13 x 5 triangle on a 1/2" grid and then carefully place each figure in their first relative position, you will see the sliver of space above the green and orange triangles, That sliver of space amounts to one grid square. ( 1/2 sqin if measured in inches)
Rearrange the shapes and that extra 1/2 sqin shows up immediately.
Proof : (in inches) (area = 1/2 base x height)
13 x 5 main triangle = 32.5 sqin
8 x 3 orange triangle = 12 sqin
5 x 2 green triangle = 5 sqin
red shape = 8 sqin
blue shape = 7 sqin
total shapes = 32 sqin
j_a_s_p_e_r 13 years ago
bigbrosrule 13 years ago
j_a_s_p_e_r 13 years ago
mrmerino 13 years ago
j_a_s_p_e_r 13 years ago
The length of the hypotenuse does not directly relate to the problem, but rather it is the difference in angle of the right triangles that creates the illusion. I can easily provide a counter example where the hypotenuses are different and the illusion does not happen.