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This puzzle belongs to the puzzle series: hyper-modern art


The two friends in the gallery of Hyper-modern art are still discussing.

"You know what, to certain extent I start enjoying this Hyper-modern art, but I still think it lacks something important."

"And what should that be, my friend?"

"Beauty. Aesthetics. It is all well and good that the observer has to fully engage for deeper understanding, but I still would like to, well, like an image. It should be pleasing to watch."

"Hmm, yes, I get your point. But maybe the next example is more to your liking."

They move on to the forth room of the gallery, where a gigantic painting of 11x16 metre fills the whole side of the room.

"See what we have here: The painting is called 'Nature tells a story', and I think it is rather pleasing, don't you?"

"Well, it for sure is impressive... And yes, it is also nice. But what is the story nature wants to tell us here?"

"See, now we need our HUD again..."


Overview image Full resolution image, 1.3Mb, 6582 x 4539 pixels


The goal of the puzzle is to find the message, this painting is telling us. This message is written in English and consists of five words. The puzzle will likely require some patience and work, and it does require the full-resolution image provided by the link.

While the full resolution is needed to see all details, the puzzle does not require any digital information. You can print the image and still solve it from that.

Bonus: An additional message is hidden in the image. This message is a clue for the actual puzzle. What is the message?


Hints

Hint 1:

You need a hint? Count!

Hint 2:

You think the flying direction of butterflies is random? Think again!

Hint 3:

A single butterfly (in one direction). But two?

Hint 4:

Have you taken a close look at hint 3 above?

BmyGuest
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  • I could provided the image in vector format (.emf) if somebody could let me know how/where to upload. – BmyGuest Jun 23 '15 at 17:31
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    Your puzzles hurt my head. Keep'em coming. – Engineer Toast Jun 23 '15 at 18:53
  • Holy cow. You're not kidding about requiring work. So many pairs to match... – Ian MacDonald Jun 23 '15 at 19:28
  • @IanMacDonald Just make sure you work with the high-res images and pay attention to detail... :c) (But believe me, a lot of work went into creating the image...) – BmyGuest Jun 23 '15 at 19:30
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    @IanMacDonald: Actually, I'm not sure there are any perfect duplicates. And there's a perfectly generic butterfly dead center... – user1618143 Jun 24 '15 at 16:04
  • @user1618143 Yikes. I just noticed that the pairs I was finding had slightly different antennae. :( O! Woe is me! – Ian MacDonald Jun 24 '15 at 16:46
  • @IanMacDonald ;c) BTW, partial answers, situation analysis, and "solution ideas" are welcomed - unless you don't want to spill the beans too quickly. – BmyGuest Jun 24 '15 at 17:48
  • Does the path branch, or is my eyesight just failing me? (If it provides too much of a hint, you can choose not to answer) – Alconja Jun 24 '15 at 23:28
  • It does, you're on the right track. – BmyGuest Jun 24 '15 at 23:28
  • @Alconja Still working on this, or have you given up? I'm thinking of adding hints if nobody is still trying, but I don't want to spoil it for those who still are... – BmyGuest Jun 27 '15 at 10:57
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    @BmyGuest - I got as far as drawing a family tree the other day, but haven't really had a chance to analyse it. I plan on working on it more but my time is limited, so if you want to drop hints to encourage others, feel free (beautifully detailed puzzle by the way). – Alconja Jun 27 '15 at 12:52
  • @Alconja As nobody is so far picking up your work, I've added a second hint. – BmyGuest Jul 02 '15 at 15:50
  • Came back to see if anyone had made any more progress, but still nothing... re: hint 2, I thought at first that the angles matched up with compass or clock directions, but further down there seems to be ones at more & more random angles. With hint 3, I see butterflies that appear to pointing in the same direction as each other (eg. 3 & 9), but that isn't helping me. ...feel like I'm missing something obvious. :\ – Alconja Aug 19 '15 at 01:31
  • @alconja All 3 hints together should be read as a single hint pointing at the same thing. – BmyGuest Aug 19 '15 at 05:11
  • @alconja Btw, it can be a good idea to check the hints themselves carefully... – BmyGuest Aug 19 '15 at 05:55
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    One of these days someone will solve this. D: – Bailey M Aug 28 '15 at 13:33
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    Somebody needs to do a bit more analysis. @Alconja's work is on the right track, but it there might be more in the original.... Read and heed the hints! Maybe somebody posts another "partial" answer to get things started (again) ? Also: Worthwhile to think on how Alconja derived at his partial answer... – BmyGuest Dec 08 '15 at 18:39

3 Answers3

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Partial answer

I mentioned in the comments above that I'd made some partial progress on this. I haven't had much time to take it any further, so I thought I'd post my work so far in case it helps others...

Firstly, I noticed that:

The butterflies are all unique, and that, more importantly, they follow a evolutionary progression. Starting with the completely plain butterfly in the centre and then making a single change each generation, you can map out a family tree of sorts.

Following this logic, I produced:

A labelled copy of the original image.
generations labelled
full size (1.5MB)

Numbers represent the generation (starting with 0), letters show where the species diverged into distinct parallel descendent branches (i.e. A18 & B18 both evolved from 17, and C43 & D43 both evolved from C42).

For reference, the leaf nodes (as shown in circles above), are: leaf nodes

So visualising that result another way we get:

The family tree.
family tree
full size (1.4MB)

The red numbers down the left are the generation, with the columns matching up with the various branches. The blue numbers are the total count of individual butterflies up to that point.

That's about all the concrete output I have, but I have a few ideas of what it could mean...

Theories and observations:

The path created by tracing the family tree through the original image seems pretty random, so I don't think it's forming shapes or anything of that sort. Therefore, I assume the answer must be derived from the features of the butterflies themselves.

We are told the answer is a five word phrase, so I'm guessing it will be something along the lines of "Out of chaos comes order", or "Stop and smell the roses", or "Life, uh... finds a way". There also happens to be exactly five branches to the family tree, so I'm guessing each branch (or each leaf node) represents a separate word.

The hint mentions counting, so I imagine we can find letters for each word by counting either changes in features, or the number of generations each feature survives for, or something similar, along each branch. That being said, no feature lasts particularly long in any given family branch, so there may be more to it (or the letters would all necessarily be early in the alphabet).
The tags on the puzzle include "cryptogram", so it's plausible that there's some decryption necessary beyond just mapping A=1, B=2... Baconian encryption came to mind due to the binary nature of changes, but given that each generation changes by exactly one bit, it seems unlikely.

Alconja
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  • As I thought, you've progressed very far towards the goal and grasped a main aspect of the puzzle ( the laborious part ;c) ). Your theories - as could be expected - contain both grains of truth and wrong ideas. On hint-in-a-hint: There is a main-puzzle with the main (5) word solution, but there is also a somewhat separate puzzle which can give you an additional hint. The given hint is "You want a hint? Count!", so the counting is not necessarily part of the main puzzle... But with your "work" done, puzzling out the message should be less laborious now. – BmyGuest Jun 30 '15 at 07:47
  • Just adding to your notation: The first (grey) butterfly is "generation zero", which is like I would also do the counting. – BmyGuest Jun 30 '15 at 07:51
  • Awesome as ever, Alconja! :-D – Rand al'Thor Jul 02 '15 at 19:20
  • Alconja, you've put a lot of work into this, so can you check one thing for me... The directions of the butterflies. They seem to be at discrete rotations... can you tell me if, perchance, there might be 26 different directions? Or thereabouts? I suspect you can tell why I'm asking. – Zerris Dec 07 '15 at 06:09
  • @Zerris - it's been a while, but I'm pretty sure I tried that, and from memory, they start out fairly ordered, but become more & more random - though it could arguably be due to my inaccurate measurements, so don't take this as a definitive "no" (I also tried things like encodings based on left/right or up/down rotations, clock hands, compass positions, etc, without luck). – Alconja Dec 07 '15 at 06:22
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    There are enough that look exactly identical, even towards the end (plus hint 2) that I think I might try it out tomorrow; the distribution of consecutive doubles looks reasonable for English - and more importantly, while I see a bunch of doubles (two in a row, same orientation), I see no triples at all, which seems unlikely for a random distribution of this length (and especially given the number of ones sharing an orientation, consecutively or otherwise). – Zerris Dec 07 '15 at 06:26
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    Wait, I take that back, there is a triple... it's 80-81-82. Okay, less convinced it's a direct cipher... but more convinced that the orientations are discrete in some fashion. – Zerris Dec 07 '15 at 06:39
  • Also, the color changes are at the right frequency to signal word breaks, if each butterfly was a letter. – Zerris Dec 07 '15 at 14:16
  • @Zerris: The solution only has five words so I don't think it signifies word breaks. However I agree with the rotation having significance. In fact, maybe the colour changes mark the start of the coding for a new letter. – orp Dec 08 '15 at 16:17
  • @Zerris: Anybody considering the 3 hints? :c) – BmyGuest Dec 08 '15 at 18:30
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    @BmyGuest - Re: hints, I had assumed way back when you said "check the hints themselves carefully" that the italicised A indicated somehow that counting different directions gave letters (i.e. one in a given direction = A, 2 = B), but never found anything of much note (either counting precise directions, lefts vs rights, ups vs downs, by quadrants, etc...). I'm sure I'm missing something obvious though and will kick myself when someone eventually cracks it. – Alconja Dec 09 '15 at 03:18
  • Also, in case it makes sense to anyone, if you ignore the order they come in and just count how many butterflies point each way, you get 16 unique directions, with the following counts (clockwise from 12, with generation 0 being first): 1,1,9,14,15,3,1,2,5,16,1,8,19,25,2,14. Which as letters gives: AAINOCABEPAHSYBN ...@BmyGuest - I'm assuming the anagram "BANANA BICEPS, AHOY!" isn't a hint. :P – Alconja Dec 09 '15 at 04:12
  • @Zerris - re: your question earlier about whether there was 26 unique directions, see my previous comment... – Alconja Dec 09 '15 at 04:13
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    @Alconja What do mathematicians and cuckoo clocks not have in common? Also, it might be worthwhile to put your ideas (and fails) into the partial answer, as the comments get a bit too long. I wouldn't mind if you start a "2nd" answer for part two neither. – BmyGuest Dec 09 '15 at 07:20
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The solution is

Darwin was right no creationism

Steps to the solution

1. Finding the hint

The butterflies have to be arranged according to their orientation. There are 16 different orientations (17 if you count the grey ancestor-butterfly in the center, but it can be ignored for this), evenly distributed with 22.5° difference each. Based on JTL's arrangement, slightly altered here, the first hint becomes visible (reading counter-clock-wise like mathematicians do and unlike cuckoo clocks): The first hint Hint: Baconian by shape

2. Preparing

To get the correct order, the butterflies have to be ordered: Starting with the grey butterfly in the middle the next butterfly-generation has exactly one property changed: either the shape (wings or antennae) or the color or pattern. With this rule a family-tree can be created like this (based on Alconja's work)
Butterfly families

3. Solving

With the hint on Bacon's cipher the solution is hidden as a binary code with A=00000, B=00001, etc. In this riddle a butterfly is considered as 1 if its shape is different (wing-shape or antennae) and is considered as 0 if the shape is the same (and the color or pattern is different). Starting on the second image, the first branch becomes
000110000010001101100100001101
split into chunks of 5 yields
00011 = D, 00000 = A, 10001 = R, 10110 = W, 01000 = I, 01101= N.
Each new branch of the butterflies forms a new word, resulting in the solution: Darwin was right no creationism

A big thank you for this beautiful and challenging riddle! And of course to Alconja and JTL who did all the hard work. I'm new here, so if I can split the bounty, I'm happy to do so.

cad
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  • Congratulations! This one has been sitting unsolved for a long time! – GentlePurpleRain Dec 09 '15 at 20:39
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    You've put the pieces together nicely. Well done, and I accept the answer as first, fully inclusive and comprehensive correct answer. – BmyGuest Dec 09 '15 at 20:48
  • Nice work and welcome to PSE - a grand entrance indeed. And thanks @BmyGuest for another great trip to the gallery of hyper-modern art, hopefully we can return again soon. ;) – Alconja Dec 09 '15 at 23:35
  • Wow, this is amazing. I would have never gotten that solution, grats on cad for doing a great job, Alconja and JTL too. @BmyGuest, this is a wonderful puzzle and I would love to see more of these puzzles, they are extremely beautiful and great! – Takeshi Dec 10 '15 at 03:33
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This is not an answer, but some might find it helpful.

First of all, as has recently been indicated in some comments, I noticed the following:

Hint 2:

You think the flying direction of butterflies is random? Think again!

Hint 3:

A single butterfly (in one direction). But two?

Hint 4:

Have you taken a close look at hint 3 above?

Which seems to suggest that

The frequency of the directions might encode letters.

Here's a demonstration:

I did this with some drag'n'dropping:Butterflies

Unfortunately, I think I waited too long to post this, so it may not help @Alconja much since it seems he's figured this out already. Having said that, I noticed that,

assuming the letters are correct, we have everything we need to spell some words, (most vowels, some useful consonants) though I couldn't get anything out of it. I tried some things like looking at first or last letters of butterflies with certain colors, and a few other things, as well, though I haven't put much effort into that yet, so there could still be something there.

All I really got out of it was a slight feeling of

More Butterflies

Also, for what it's worth,

one of the first things that this kind of puzzle makes me think of is Morse code, however, in this case, I have a strong hunch that this is not relevant this time, even though it doesn't seem like a stretch to interpret the markings on the butterflies as dots and dashes. Some butterflies would have to encode two letters if that were the case, and there would have also been the question of direction, though I personally would have started with anteriorly to posteriorly and in a brachial direction.

JTL
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  • As you note, I was pursuing the same line of reasoning at the same time, and came to the same conclusion... i.e. there definitely seems to be something there, I'm just not sure what. – Alconja Dec 09 '15 at 04:49
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    Though your radial layout is much nicer than my unposted version, and I love your final thoughts. :) – Alconja Dec 09 '15 at 04:51
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    Haha, love your posting. But I especially love your first picture. Have you looked at it closely? You might have solved more than you are aware :c) Also: See my comment on Alconjas posting about mathematicians and cuckoo clocks... – BmyGuest Dec 09 '15 at 07:22
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    @BmyGuest - oh! I was blind, but now I see. :) – Alconja Dec 09 '15 at 08:57
  • I definitely see some words in that radial diagram ;) – orp Dec 09 '15 at 14:40
  • @BmyGuest Thanks; I thought that surely someone else might feel that way after a lengthy period of staring at those butterflies. I hadn't seen that comment yet, though I like the clue. I feel a little silly because I'd actually found what you seem to be pointing out now, though I honestly completely ignored it. I will have to check in that direction later, or at least make an edit and point that out if that's all I have time for. Others are welcome to scoop me on that, though, as long as any answers posted are solid and fully explained, as this puzzle deserves as much. – JTL Dec 09 '15 at 15:15
  • @Alconja Haha, thanks. You are welcome to edit them into your answer if you come up with the solution. – JTL Dec 09 '15 at 15:18