# The Pie-Maker's Son

Preface: There's a lot of background story here. Most of it is just for fun but there are definitely clues sprinkled throughout. If you want the strict puzzle, skip on down to the bottom.

For many decades, the pastry shop on Lamuella had been run by a kindly gentleman. He had taken over the sandwich shop when the previous owner bought The King's ship and left. His younger years had seen him as a brave sailor captured by pirates who grew to conquer their ranks. The life was not what he sought and did not bring him happiness so he left the first mate in charge and wandered into the port of Laumuella. The scents drifting from the sandwich shop drew him in and he was hooked ever since. When the owner took off, the ex-pirate stepped in and turned it into a bakery. He had always loved baking, but never could as a pirate lord because the lads would surely not respect such a leader. That was many, many years ago.

The locals loved the now quite elderly man. His shop was always rich in scents and cheap in cents. It was not a life that made the baker wealthy but he felt as though his life had been rich. He married young but his bride died during childbirth, leaving him a son to raise. His son was strong and would help in the kitchen. The man never remarried but he felt his family was complete. Children would stop in on the way home from school and sneak bites of the sweets on the counter as soon as the proprietor would turn his back. Of course, they never wondered why the sweets were always fresh-out-of-the-oven warm or why the old man never seemed to turn around to discover the stolen treats until after the door jangled open at their departure. The old man was happy.

One day, anxiety broke this idyllic life. The old man was carrying out the day's ration of treats to be swiped by the kids when a sharp pain seized his chest and stole his breath. He dropped the tray, clutched at his chest, and fell to the floor, knocking over a chair on the way down. The children discovered him and ran into the street screaming for someone to help.

The man woke up in a hospital bed and saw the face of his son leaning over him. "Oh, Archie!" the old man started. "Hush, father" replied his son with a concerned look on his face. The old man worked to prop himself up better on the pillows, eventually allowing his son to help. He began again, "No, Archie, I must tell you something important. I have a secret I've kept all these years. It's not safe to tell you here but you must know!" The man stopped, his breath caught and he coughed. His soon stood to get a glass of water but the father grabbed his arm and pulled him back down with uncharacteristic strength. "Listen!" he hissed. "I haven't much time. I can feel the end coming. You must listen NOW! Under the bread kiln, there is a brick that's darker red than the rest. Pull it out and find the small metal tin behind it. There's a steel plate inside with a code inscribed on it. You must decipher that code. You know me best; only you can do this!"

The old man's grasp on his son's sleeve slackened. Wheezing, he fell back against the pillows. His breath was shallow but still he spoke. Archie leaned in to hear his father's dying ramblings: "Favorite... Cherry times... Flagged down... Apple, blueberry, chocolate... Multiply...".

The son leaned back, sure that his father was gone. He slumped back into his own chair distraught and wracked with grief. He wasn't sure if he could keep the bakery running by himself or if he even wanted to. His father was a fixture in the community and it wouldn't be the same without him. With all the grief and confusion, he almost forgot his father's words.

As he was sitting in the darkened kitchen days later and wondering how he was going to move on, Archie remembered his father's instructions. Shuffling over to the kiln, he found the brick that was indeed a darker red. All these years working the kiln and he'd never noticed. He toed it with his boot and felt it give. Bending down, he slowly pulled the brick out and stuck his hand into the darkened recess. His fingers found something hard and cool to the touch. Getting excited now, Archie extracted the tin and set it on the ground before him. Trembling, he opened the creaking lid to reveal the engraved plate inside.

3:6::0:1:::9:6::2:8:::6:8::3:6:::9:6::9:6:::9:6::0:1:::6:8::2:8
9:6::2:8:::5:4::2:8:::9:6::9:6:::6:8::9:6:::5:4::9:6:::5:4::7:4
6:8::3:6:::9:6::9:6:::5:4::0:1:::9:6::2:8:::5:4::2:8:::6:8::3:6
9:6::9:6:::4:4::7:4:::6:8::3:6:::9:6::2:8:::9:6::2:8:::5:4::2:8
9:6::9:6:::4:4::9:6:::9:6::2:8:::5:4::9:6:::5:4::0:1:::4:4::7:4


His eyes played over the markings and, with a twinkle of recognition, he began scratching out letters on some parchment. When he finished, he simply sat staring at the results for several minutes. Why had his father never shared these words with him when he was still alive? The world must know. Archie shall tell them!

What was the encoded message that the old pie maker had left his son?

This has already been answered but, for the sake of completion and future readers, here are all the clues hidden in the text. Don't read them if you want to ponder it yourself as they take you halfway to the solution.

The title describes a "Pie-Maker" but the text only ever calls him a baker.
The baker was a sailor and a pirate.
The son's name is "Archie" which is a nickname version of Archimedes who introduced a new method to approximate pi.
The dying words "Cherry times" and "Apple, Blueberry, Chocolate... Multiply" both speak to multiplying by types of pies.
The dying words "Flagged down" refers to the flags used in semaphores.

• Wowzers! That's a lot of story! – Ian MacDonald Jun 30 '15 at 22:02
• @IanMacDonald I wanted it to feel complete and probably got carried away. If it sits too long without progress, I plan to go back and highlight the important parts of the story. – Engineer Toast Jun 30 '15 at 22:07
• We don't need to know any pie recipes to solve this one, do we? – mmking Jun 30 '15 at 23:14
• @mmking No recipes required. There is one piece of information you may not have in your head but everything else is general knowledge. – Engineer Toast Jun 30 '15 at 23:30

PrincessTrevor has found that the pairs of numbers correspond to fractions from 0 to 7/4.

Now multiply them by pi to get angles (in radians). By convention, 0 is to the right, pi/4 is up and to the right, 2pi/4 is up, and so on, until 7pi/4 which is down and to the right. "Flagged down" suggests that these are the eight flag positions of semaphore. The message comes out to...

"Jet fuel can't melt steel beams"

• : O Excellent! I checked; this is right! – Aaron P Jul 2 '15 at 16:43
• This isn't the first time Engineer Toast hid this from us! The world must know. Archie shall tell them! – Mark N Jul 3 '15 at 12:38
• @MarkN Whenever I make a puzzle that explicitly asks you to find a hidden message, odds are good that it's the same message. Open yours eyes, sheeple. :-P – Engineer Toast Jul 3 '15 at 17:32
• @EngineerToast I'll be sure to watch out for your future questons and post this answer first ;-P – Mark N Jul 3 '15 at 17:34
• @MarkN Be careful, though. Sometimes it's not even related to the [puzzle]( puzzling.stackexchange.com/q/12851/9000) – Engineer Toast Jul 3 '15 at 17:40

A general observation that might help other puzzlers (I'm stumped):

Treating each set of digits N:M as a unique symbol, there are only 8 symbols in total used by the cipher:

A = 9:6 (54)
\ = 2:8 (16)
@ = 6:8 (48)
_ = 3:6 (18)
I = 0:1 (0)
* = 5:4 (20)
O = 4:4 (16)
 = 7:4 (28)

_I  A\  @_  AA  AI  @\
A\  *\  AA  @A  *A  *
@_  AA  *I  A\  *\  @_
AA  O  @_  A\  A\  *\
AA  OA  A\  *A  *I  O


Here I've used arbitrary distinct characters for each symbol. The :: delimiters are eliminated and the ::: delimiters are replaced with spaces.

It may be significant that the products of digit pairs in each symbol is even, and that all but one symbol (_) has a pair product that's a multiple of 4. I'm only assuming products are relevant due to the mention of multiplication in the pie pirate's ramblings.

It's also worth noting that the symbol _ only appears in @_ pairs, and that the symbol pairs AA and A\ appear with unusually high frequency.

My best guess is that each symbol pair represents a letter, but I have no idea what cipher is being used or even if this is the right direction to go in. It could be that each M:N symbol is a reference to a word/letter (e.g. letter M of word N), but I see no indication of what text this would refer to, and I consider it unlikely since there are only eight such symbols.

One final note: The fact that "Apple, blueberry, chocolate..." in the pie pirate's ramblings are names of pies starting with the letters A, B, C in sequence is almost certainly significant.

Hopefully these observations will be of some help to another puzzler.

• +1 for finding the first two breakthroughs: The pairs of numbers #:# go together and a pair or pairs #:#::#:# form a single letter. However, the single : does not represent multiplication. Try a different operation. – Engineer Toast Jul 1 '15 at 20:23

Another step forward here, I think. Working off of COTO's answer using the same arbitrary characters, but doing

division

I found that:

A = 9/6 = 1 1/2 = 5/4
\ = 2/8 = 1/4
@ = 6/8 = 3/4
_ = 3/6 = 1/2 = 2/4
I = 0/1 = 0
* = 5/4
O = 4/4
 = 7/4

Which can be put in order as:

I = 0/4
\ = 1/4
_ = 2/4
@ = 3/4
O = 4/4
* = 5/4
A = 6/4
= 7/4

From there I tried addition to find position in the alphabet, then multiplication, but neither seemed to get anywhere...

• If it is divisions. Would trigonometry get you anywhere? Also: You have number 0..7 Somehow I get the impression x/8 would be what you're aiming for not x/4. Both are just ideas without justification at this point. – BmyGuest Jul 2 '15 at 15:52