Let's have a rhombus with sides AB=8 and with two opposite angles 60 degrees each and the other two opposite angles 120 degrees each. What is the maximum area of an octagon that can be inscribed in the rhombus? The octagon is convex with all sides equal. NOTE: Include complete geometrical drawing...

Inspired by encrypted fruits and vegetables, this simple puzzle encrypts a set of things having a common topic. So, please, figure out the topic itself (unlike the linked questions, clues are comma-separated here unless the commas are within parentheses, braces etc.): 🤘, $\boxed{6}+\alpha\to?$...

This is my first slitherlink puzzle. I made it myself. Feedback is appreciated! (I hope this one has a unique solution, unlike my other past puzzles, wink). Rules of Slitherlink (taken from Nikoli): Connect adjacent dots with vertical or horizontal lines to make a single loop. The numbers indic...

This is in the spirit of the What is a Word/Phrase™ series started by JLee. If a word conforms to a special rule, I call it a Oedipus Word™. Use the examples below to find the rule. $$ % \def\Pad{\P{0.0}} \def\Title{\textbf{ Oedipus }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\def\...

A carpark is arranged in a 4x4 grid and has a single entry/exit as shown in the diagram. A car has the size of a single cell of the grid. Cars can move through adjacent empty cells of the carpark either horizontally or vertically, but not diagonally. Cars cannot move outside the car park, except ...

When the fever starts to spread this year, you're gonna need to call an expert! FERUPTEMEFOLCANIMEFATERIAMEFINVOLVEMEFIMEFAMEFINDOOMEFCHILDRENMEFGAMME ILWAUKABETEASHELPBALLLAYASSISTRHOSSERVELUBASOORLDSBOOSTRIESITLSUPPORTS DEMPRIVADINASDLEFADIRDELLAGULLYDWRETADCIMPOTARDCIDA LIKECNAHCITINRARISENIL...

You have decided that you want to become chubbee, but not too much. You will need to eat exactly 10 liters of honey in order to achieve the desired effect. The bees produce 10 liters of honey on request, with an additional amount as a gift. But since bees can only count until 5 they spread th...

An entry in Fortnightly Topic Challenge #51: Non-rectangular grids. This is a standard Tapa puzzle, on a non-standard Tapa grid...the "grid" is a Penrose tiling! Since the grid is not rectangular, we need to interpret the standard Tapa rules in this scenario. Your goal is to shade some of the til...

I go to (and I am in) many places I know (and have) different faces You may think about me every day You may even need me to keep sane I live around rockets in outer space I am often talked about during a race What am I?

Given 25 different positive numbers, can you always choose two of them such that none of the other numbers equals either their sum or their difference? All answers are welcome but brownie points to answers which are intuitive. An intuitive answer, according to me, is one that is not just easy to ...

If you hover your mouse over the time marked in the right-bottom corner of this post, then you will see a string showing the exact time that I post this question, which reads 2021-03-18 22:32:47Z. See this post for more details on how to check the exact time of posting. Ignoring all non-digit cha...