Part 1: The Solved Grid
The solved grid is below:
The logic for the left side portions was relatively straightforward. There were no particularly difficult steps - just searching for the next place progress can be made, like solving a jigsaw puzzle.
A few sections had extra information that seems important:
Part 2: The Messages
Ernie's jigsaw puzzle isn't as straightforward as it seems, as it's actually:
One way of assembling the pieces legally is:
How will you know when you have succeeded?
PS Ernie definitely has a sense of humour about him. After all, when you texted him with "Bored", he replied...
What you're looking for are numbers $X$ and $Y$ where $2X + 2(Y-2) = (X-2)*(Y-2)$. This is generalized; a few possible (and practical) solutions would be:
$5$ by $12$, with $30$ of both edge and middle pieces.
$6$ by $8$, with $24$ of both edge and middle pieces.
Let's take a 25 x 25 puzzle of a color gradient(also called color ramp and color progression). No two connections the same, even it is off by a millimeter. All the pieces are in a pile, with no way to identify the pieces. The fastest would be the first solution, assembling the border first.
Number 1, which is the fastest, would require you to sift through ...
Partial: Criss Cross and Three to one solved
(There are three letters missing to the right of ‘Three to one’ that I can’t yet place without solving the bottom right area)
Three to one:
However I know that Deus has all four parts and is looking at the next steps so I expect this to become obsolete :) Still very fun to solve!!!
Edit: congrats ...
Let's start by just attempting to complete the puzzle, and see how far I get:
WARNING! I didn't know how to effectively spoiler my whole answer, so it's not covered. read at your own risk!
Let's call The possible formations of the sides of a piece 0 for a straight edge, 1 for a single "out", 2 for a single "in", and 3 for the doubled in/out. This naming is ...
To a real-life problem I had to give a real-life answer:
But you asked for an actual tiling, without gaps, so here it is.
PS: there is a simpler pattern where pairs disassemble with a single translation:
The letters in the clues
and the resulting answers
The marked spaces in the grid
and presumably Stiv is proposing this as an
Oh, I should also say which solutions are to which clues. Here they are in the same arrangement as the clues in the puzzle:
The solved dominosa looks like this
At the start there is only one way to place an 88 and 38, this leaves only one way to place the 33 and just two possibilities for the 44. After that we try to place the 47 domino. There is only one 7 with three 4s for this domino. If it would make a 2x2 square with the 44 domino, we get a contradiction.
This means the 47 ...
Efficiency means that you handle each tile as little as possible, and that you make as few mistakes as possible. Ideally you want to pick up a tile and fit it to at least one other rather than put it down again unmatched. Incorrect fitting wastes time when correct matches are rejected and when you have to unpick the mistake.
From experience, the most ...
I'm not entirely sure that my interpretation of how the backwards timer works is entirely correct, but if it works like this:
Then I think I can get
Here's the diagram (pardon the mess):
Here's how we'd set the timers, and what would happen:
I have solved Ravensburger's Neuschwanstein castle (5000 pcs) some ten years ago.
It has an impressive size of 153 x 101 cm (see details on 5000 pcs puzzles).
Once the puzzle was solved, I used this Puzzle Conserver from Ravensburger:
I think nowadays a newer item replaced this, called Puzzle Glue & Go.
Note that this "glue" should be used on the ...