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Unanswered Questions

72 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 ...
8 votes
0 answers
494 views

xkcd 2957 - A Crossword Puzzle

The latest xkcd is a crossword puzzle. I thought it might be of interest to this community. Solve it on Penpa+ Clues: Across 1 Famous Pvt. Wilhelm quote (10) 11 IPv6 address record (4) 15 “...
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
201 views

Is it possible to create a knot that is locked only when the rope is stretched?

Is it possible to create a knot that is stable/locked when the rope is stretched? When the tension is relived the knot should open.
7 votes
0 answers
197 views

Can you construct a nonagon with 47 rods?

Stiv's Diabolical Instruments now offers a bundle of exactly 47 equal-length rods that can be joined by hinges at their ends – and only the ends – to form planar linkages (i.e. all hinge axes are ...
7 votes
0 answers
314 views

Even and primes puzzle?

These are secret numbers that increase regularly. What are the next two numbers? If you like numbers, it will be fun. $2^3 \times224299$ $2^2 \times 3^2 \times 19 \times 3557$ $2 \times 5 \times ...
7 votes
0 answers
397 views

Open the French safe

While walking in a small alley in Paris, you come across a safe. The number pad looks like this : There are things on the back of the safe too : "À l'aide du carré 3x3 ci-dessous et des nombres ...
6 votes
0 answers
255 views

Visual puzzle involving mathematical operations

Try this puzzle. It involves mathematical operations. Created on my own. CSV (for those who aren't able to see images): ...

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