Description

very fun puzzle🙃

8 months ago
Permalink

Comment has been collapsed.

I agree. Tupper's Formula looks like magic from the world of mathematics.

8 months ago
Permalink

Comment has been collapsed.

Boson was here - but has not entered. Thx for the riddle. :-)

8 months ago
Permalink

Comment has been collapsed.

Very unique Puzzle. No way I could have gotten it without the hint :)

8 months ago
Permalink

Comment has been collapsed.

That was a fun puzzle, needed the hint to solve. Learnt something new and interesting as well - Tupper's Formula.

8 months ago
Permalink

Comment has been collapsed.

Cool. I've never heard of that formula before but today's hints got me there.

8 months ago
Permalink

Comment has been collapsed.

what a nice puzzle and what a beautiful math behind it. thank you Ethan!

8 months ago
Permalink

Comment has been collapsed.

Wow, I don't know how others did it, but the hints helped to remember this Numberphile video and then ChatGPT helped vibe-code the Python script to draw function (at the correct coordinates).

8 months ago
Permalink

Comment has been collapsed.

Cool puzzle, here is python solution:

def f(x, y):
    left = y // 17
    right = 2 ** (17 * x + (y % 17))
    return (left // right) % 2

K = 34715022670997049467397073987958999809201825123344361063308290896093630889576951943185462837416523415946541516978679503451387575681812437645653452342654502903415183073217114234298401050675001237934232649222699651787192139247138604100875379642171222009623609344
width = 106
height = 17

for y in reversed(range(K, K + height)):
    line = ""
    for x in range(0, width):
        line += "\u2588" if f(x,y) else "\u2591"
    print(line)
View attached image.
8 months ago
Permalink

Comment has been collapsed.

Unfortunately I ruled out graphic generating approach early and paid too much attention on Gödel's Theorem/Gödel numbering - after all it appeared way above the Tupper's formula at the Self-reference Wikipedia article.
Anyway I already own all the 6 GA games so not my loss...

8 months ago
Permalink

Comment has been collapsed.

You do not have permission to comment on giveaways.