# Rebuilding the Rio 2016 Olympics logo

This puzzle belongs to the puzzle series: hyper-modern art
It is also an entry to the 13th fortnightly challenge

You two friends are still venturing through the endless halls of the gallery of hyper-modern art.

"Oh, look, this time there is a quite modern piece featuring an on-going event!"

"Really? I don't quite get it. I bet, all these letters are supposed to spell something out, right? But without my HUD I'm not seeing it. What is it?"

"You're quite right, but not exactly. The piece is called Rio 2016, because it resembles the logo of the 2016 Olympics."

"It does? I'm not seeing it, what's the trick?"

"Take a look through my HUD. See how the pieces re-arrange themselves now?"

"Ah, yes. Now I can see it. But why all these letters?"

"Let me show you", he turns another knob on the HUD, "see how these groups now form words? And when you read them..."

"Ah, yes, quite clever. But could one do that without the HUD, I wonder...."

Assemble the puzzle pieces below into an arrangement which best matches the shape of the Rio 2016 logo.

So, the solution is picture of the rearranged puzzle tiles in the (rough) shape of the Rio 2016 logo.

Just in case you don't know what the Rio 2016 logo looks like, here it is:

## But here's the catch:

When all pieces are put together, it must be possible to split the final shape into different connected pieces (consisting of multiple squares which are all connected via common edges, not corners) such that each of these pieces contains letters which can be re-arranged into one of the Olympic sports of the game. All letters must be used that way. (Similar to this puzzle.)

Here is an example:

A few clarifications:

• Puzzle pieces may be rotated
• The orientation of the letters in the square are just to obscure tile orientation
• For puzzle-building reason, the list of Olympic sports has been slightly modified (and not all sports are used), so if you prefer the list, it is:

Archery Athletics Badminton Basketball Boxing Canoe Cycling Diving Fencing Football Golf Gymnastics Handball Hockey Judo Rowing Rugby Sailing Shooting Swimming Taekwondo Trampoline Triathlon Volleyball Weightlifting Wrestling Pentathlon

• To find the approximated shape you want to cover, you will need to resize the logo image such that the number of "used" tiles matches. Or, if you want to make your life more simple, use the following image: (spoiler!)

• Having said that, that doesn't mean I'm not going to have a crack at it myself. Think I'll bring out trusty pen and paper here. – Beastly Gerbil Aug 12 '16 at 14:31
• -1 no water polo (jk, +1'd) – ev3commander Aug 12 '16 at 17:56
• Hm, I feel like "rough shape of the Olympics 2016 logo" leaves too much of a search space. :/ – Deusovi Aug 13 '16 at 2:18
• If anyone needs it, here's an excel file with the grid tiles. – ev3commander Aug 13 '16 at 18:01
• @BmyGuest: The issue was that slight movement to the left or right may exclude some squares and include some new ones such that it still looks roughly like the logo, but has a different arrangement of squares. – Deusovi Aug 14 '16 at 23:12

It was way easier with the shape known. I started with the rugby part. Then added fencing, archery, badminton and cycling on the left. I had the most of the center ready before the shape was added. On the right side the top of basketball was the best match. The bottom right part was the hardest because of the unusual placement of weightlifting. The rest was simply placing the remaining parts from right to left.

• This looks correct - once Ive got confirmation for @BmyGuest then you'll get the bounty! – Beastly Gerbil Aug 15 '16 at 16:39
• Well done. I knew it would be much easier with the shape provided, but it seemed nobody could crack it without. I hope it wasn't too easy that way though... – BmyGuest Aug 15 '16 at 17:19
• @BmyGuest Thanks and it wasn't too easy, the big areas (left and bottom right) were still challenging. – Sleafar Aug 15 '16 at 17:22
• And the bounty goes to you! Well done! I couldn't get this, even with the shape provided – Beastly Gerbil Aug 15 '16 at 18:46

### Starting Point

Here is the frequency of the letters.

There are 210 Tiles which must be fitted into the shape.

Noticeable in the table is that there is only 1 J and 1 X.

This means that the tile with the J and X in it must be part of Judo and Boxing.

This tile then seems the key tile to begin with.

• Interesting starting approach. I hope the frequency analysis holds true for both the "tiles" and the keyword-list? (If not, I would have messed up, so it really should ;c)) – BmyGuest Aug 12 '16 at 16:02
• @BmyGuest It should, because I just copied that list into a letter frequency counter :P – Beastly Gerbil Aug 12 '16 at 16:09