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Unanswered Questions

84 questions with no upvoted or accepted answers
22 votes
0 answers
3k views

What does this mathematical operator do?

The solution to this puzzle is one I came up with when working on this puzzle: What is the answer of this math puzzle? For two natural numbers a,b, can you figure ...
14 votes
0 answers
1k views

How would this binary-ish code be translated?

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12 votes
0 answers
454 views

Can we find four identically colored numbers?

Take the positive integers {1, 2, 3, ...} and color them red, green or blue. Is it true that no matter what coloring is chosen, we can always find three distinct numbers x, y and z so that x, y, z ...
12 votes
0 answers
259 views

The Snake and the Hunter

The Snake and the Hunter is a game for two players who play in two rounds interchanging the roles of snake and hunter. The game is played in a rectangular grid of points, say 6×6. In both rounds the ...
12 votes
0 answers
896 views

Dissecting a figure into 2, 3, 4, and 5 parts but not 6

This figure is divided in 2, 3 and 4 equal parts of same size and shape, but it is not possible to do it in 5 equal parts of same size and shape. Is it possible to find a figure that can be divided ...
10 votes
1 answer
752 views

Powerful number systems

Imagine I have two positive integers, $a$ and $b$. Can you find the last digit of the sum $a+b$ given only the last digits of $a$ and $b$? More generally, can you find the last $n$ digits of $a+b$ ...
10 votes
0 answers
512 views

I'm a number with a special product, so name me when you think you've got it

In the blocks that come before, their special product tells us more. To guess my scheme you'll need calculation, but only little tests of recreation. Each block contains atoms strong as Thor, ...
9 votes
0 answers
361 views

A Glutton and a Split Check

N, T, A, B are arbitrary constants in this problem. I have only definitively solved the N=1 subproblem, so, if the general problem cannot be solved, I will be satisfied to mark as accepted a solution ...
9 votes
0 answers
291 views

Zed's Order: Breakfast at Elon's

My friend Elon and I constantly irritate each other. He recently built himself a rather respectable restaurant – a sort of bed-&-breakfast, minus the beds. Last week, he asked if I could ...
9 votes
1 answer
2k views

Is there another name for this puzzle? (Kyudoku, Nine Find)

Is there another name for this type of puzzle? I can only find two examples of it online: https://www.brainzilla.com/logic/kyudoku/ http://ninefind.com/ In the game you start with a 6x6 grid filled ...
8 votes
0 answers
452 views

Cookie Unionization

My Christmas cookies are gone! When I came into the kitchen this morning, the box was empty. All that remained were a few crumbs and this note: We absconded. You never saw that coming, did you? Well, ...
8 votes
0 answers
277 views

Doubling the cube with rational Meccano strips

In three monographs published in 2006, 2008 and 2014 Gerard 't Hooft considered "Meccano mathematics": how to construct specified distances and regular polygons by a rigid system of ideal ...
8 votes
0 answers
427 views

An Evil Cartesian Psycho

I came up with this puzzle when I was in high school. There is an island owned by an evil man who keeps some tourists who were visiting the island a few years ago captive. The authorities demanded ...
8 votes
0 answers
559 views

Ode to a Nightingale: a puzzling study in literary criticism

The field of literary criticism is an interesting and fruitful one, in which puzzlers might carve out a niche. This was recently brought home by a conversation I had with a sagacious old gentleman in ...
8 votes
0 answers
346 views

We found text from the year 2040!

Recently, the first surviving examples of text from the ███████████████e discovered! The unearthed artifacts included a collection of rectangular tablets inscribed in the hitherto unknow███████████████...

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