@BeastlyGerbil I think it's interesting to see what people write.. even if it's just to see where they are from or the experience they have... helps give perspective and makes it easier to understand people you're talking to
You have a 3-tuple $(x_1,x_2,x_3)$. At each move, you can take any two numbers, $x_i$, $x_j$, and replace them: $x_i \rightarrow \frac{(x_i + x_j)^2}{\sqrt2}$ and $x_j \rightarrow \frac{(x_i - x_j)^2}{\sqrt2}$. You're give two tuples.
So, given initial $(x_{i_1},x_{i_2},x_{i_3})$ and end tupl...
I know some of you enjoy some good math logic problems (Myself included) here is one I had fun with that took me a bit of time to solve. The A in these numbers is a number 0-9, it is the same number of all the A's in the puzzle. The question marks can be any other number 0-9 except whatever you c...
I soundly slept, but when I rose,
my papers showed disheveled prose.
At once I knew the imp had been
again among the realms of men...
Minimum ward to get by on (6)
To celebrate their love of geometric puzzles, the friends had a tangy... (7)
Sasquatch rumps are soft but years are the softest (...
I'll go first, I'll lead the way
With some careful planning we'll make them pay
There's an incessant ticking off to the side
Don't take too long, you cannot hide
I see others standing tall
I'm just as strong even though I'm small
If I should fall onto my face
I know another will ...
Maybe "around 0 in estimation" is NEGLIGIBLE (def). Not sure what the wordplay would be, though...
It could also be RE (note) + PUT (place) + A + T + ION (around 0 in "estimation" (the letters around the O)) = REPUTATION, but that leaves no definition...
Not sure if that's definitive enough to be considered correct. I need to go AFK in about 5 minutes, so I could post a new one now, or wait for confirmation from Rubio.
While being indescribably grateful for the hundreds of
Car Talk Puzzlers,
I have a quibble with one in particular.
The goal now is to
improve, in my opinion, on that puzzle’s official solution.
Paraphrase of
The Dark and Stormy Night
from Car Talk Radio
1. All residents of a 3-storey apa...
I'm trying to clarify the statement and hope that the comments are helping some in the meanwhile. It is meant as a fairly easy situation puzzle, not a trivial mathematics puzzle.
Got a tough mathematics puzzle in the works to make up for that, don't worry:
If you're artistically inclined you can use a drawing tablet and any software that you can draw in and setup an symmetry option to just make symmetrical squiggles and the likes
@Randal'Thor , another cool use of the word Kali! I used an adapted version of EquationExplorer. The puzzle will be to produce a muuuch simpler picture from the same simple equation that produced that thing up there
... actually, no, having looked more I'm still not convinced that Kali is likely to produce pictures like that one, for two reasons.
1. It makes things with wallpaper-group symmetries, but @humn's picture doesn't have that sort of symmetry.
2. It wants you to draw, freehand, with straight lines. Making a picture with the relationships between lattice points that seem to be present in @humn's, and with the nice smooth "organic" contours, using such a tool, sounds really painful.
@GarethMcCaughan I'm not sure exactly what kind of symmetry humn's picture has, but at any rate both humn's picture and the images produced using Kali are very symmetrical.
I mean, his contours are presumably something like the solutions of f(x,y)=const or maybe f(x,y)=integer, where f is probably some sort of sum over things involving lattice points. That's not the sort of thing Kali seems designed to do.
@Randal'Thor I'll guess that the only actual symmetries are D_6 (i.e., the dihedral group of order 12, same as the symmetries of a regular hexagon) but there's clearly more regularity going on than literal symmetries.
@GarethMcCaughan You can set Kali to use curved lines instead of straight (not arbitrary squiggles, but in such a way that when you change direction, the straight line bends into a smooth curve - there's probably a name for that which I've forgotten). And the lattice points make themselves, since wallpaper groups include translational symmetry.
I have a whole gallery of amazing Kali pictures, but I don't have the software to either view them or create new ones any more :-(
yebbut what's going on with the lattice points here isn't an actual outright symmetry of the sort Kali would produce. The picture isn't the same "at" each lattice point. But I hadn't noticed Kali was able to draw curves. That does make it more plausible that it could produce a picture like this, given enough determination.
Okay well I didn't mean any of these things were squiggles.. just suggesting a different approach, more freehand and less mathematical.. e.g like a mandala style tattoo or something
This is an entry into the 29th fortnightly topic challenge - Retrograde Analysis.
Scenario:
Alice and Bob were playing a game of Sudoku-Janpu.
Alice: I win.
Bob: (looking at the board) Oh man, not again!
Alice: You could have won before; I made a mistake.
Bob: Really?
Alice: (pointing at the...
You have a 3-tuple $(x_1,x_2,x_3)$. At each move, you can take any two numbers, $x_i$, $x_j$, and replace them: $x_i \rightarrow \frac{(x_i + x_j)^2}{\sqrt2}$ and $x_j \rightarrow \frac{(x_i - x_j)^2}{\sqrt2}$. You're give two tuples.
So, given initial $(x_{i_1},x_{i_2},x_{i_3})$ and end tupl...
Solve the riddle,
That's all you great folks
I soundly slept, but when I rose,
my papers showed disheveled prose.
At once I knew the imp had been
again among the realms of men...
Minimum ward to get by on (6)
To celebrate their love of geometric puzzles, the friends had a tangy... (7)
Sasquatch rumps are soft but years are the softest (...
I'll go first, I'll lead the way
With some careful planning we'll make them pay
There's an incessant ticking off to the side
Don't take too long, you cannot hide
I see others standing tall
I'm just as strong even though I'm small
If I should fall onto my face
I know another will ...
While being indescribably grateful for the hundreds of
Car Talk Puzzlers,
I have a quibble with one in particular.
The goal now is to
improve, in my opinion, on that puzzle’s official solution.
Paraphrase of
The Dark and Stormy Night
from Car Talk Radio
1. All residents of a 3-storey apa...
This is an entry into the 29th fortnightly topic challenge - Retrograde Analysis.
Scenario:
Alice and Bob were playing a game of Sudoku-Janpu.
Alice: I win.
Bob: (looking at the board) Oh man, not again!
Alice: You could have won before; I made a mistake.
Bob: Really?
Alice: (pointing at the...
