0
This is the fourth installment of the Fortnightly Topic Challenges Rerun described here and the forty-fifth installment of the FTCs overall, with topics suggested and voted on here. This fortnight's topic is "Flags" (suggested by Stiv) and will span from the 13th of December to the 26th of Decemb...
Find the pattern here:
10 11 21 247 29 391 ? ? ?
I'm probably making too much bad puzzles - 3 in a single day and two of them bad.
Given the following object - box of which a rectangular pyramid is removed.
By means of unmarked ruler, draw lines on the surface of the object to guide cuts of the object into two objects with the same volume - half of the original object volume.
I'm piece of cake.
Anti-me can be fatal.
In this puzzle book, I came across a question that goes like this:
Make the numbers from 1-10 using 5 3s.
Rules:
You are only allowed to use the four basic arithmetic operators($+, -, \times, \div$). You are allowed to use brackets.
Here is what I have so far:
I have not figured out the rest...
This puzzle is a hybrid of three different puzzles: Cross the Streams (h/t to athin for recalling this excellent puzzle type), Nurikabe, and Tapa. In this puzzle, as with all three of its progenitors, the goal is to shade cells in the grid such that the shaded cells form a single orthogonally con...
You drive a delivery truck between warehouses in a large number of cities. On a typical day, you drive a triangle: starting at warehouse X, driving to Y, then Z, then back to X. You notice that the number of miles warehouse-to-warehouse is always an integer, and moreover, that the number of mil...
I have a nice integral for you.
"Normally" I publish them on youtube, but why also not here?
Find for real x > 0 an integralfree expression for following function:
$$f(x)=\int\limits_0^x \frac{\arctan\left(\dfrac{1}{\sqrt{t^2+1}}\right)}{\arctan\left(\dfrac{\sqrt{t^2+1}}{t}\right)} \, dt$$
Enjoy....
Proposal: Other
It seems rather often, and to the chagrin of many loyal Stack Exchange users and the entire community, that some questions have no place to go. See What happened to "What real life bad habits has programming given you?" for an example. The question with 157k views was dumped on p...
Proposal: Undeclared
Sometimes, a good question in a SE site will get closed because its not relevant to the site topics, but its generally speaking a good question someone might do. There should be a default site for migrate these questions when its not clear that a site exists where the questi...
