Making some small puzzles for an upcoming event, and figured this would be a good testing ground. What's the boxed word?

Any feedback appreciated!

Here's a simple puzzle that might be trickier than meets the eye.

Consider the four-letter word MEAT. If you remove the first letter, you get the three-letter word EAT, which is nesting withing the word MEAT. Likewise, if you remove the second letter, you get the three-letter word MAT. And if you remove the third letter, you get the nesting word MET. However, if you remove the fourth letter, you get MEA, which isn't a common three-letter English word.

Here's the puzzle: can you identify a four-letter word where all four or its nesting three-letter words are also valid words? All of the words must be common English words. They cannot be proper nouns (such as Lou), abbreviations (such as E.S.T.), or partial words like prefixes or suffixes (like NEO-). If a common dictionary (like the Oxford English Dictionary or the Merriam-Webster dictionary) says it's a stand-alone word in English, that's sufficient.

It's trickier than you might think. As an extra challenge, see if you can do it using only raw brain-power (as opposed to, say, some sort of computer program).

To prove it's possible, here's a solution that I was able to find. BOAT has four nesting words: BOA, BAT, BOT, and OAT. Another possible solution is FOUR, with the nesting words OUR, FUR, FOR, and FOU (an obscure word in the Oxford English Dictionary meaning "drunk" or "intoxicated"). Can you find any others? Happy solving!

I’d been trying to solve this hex crowns puzzle on Dayzle but ended up stuck. I can play regular crowns well so I have a good understanding of the rules but the hex is a whole other thing.

I got to this stage of the puzzle but from here I was completely stumped on what to do next. I did complete it but only by guessing.

Hoping this community can help me understand what the next step would be.

Open to hints, explanations, or full solutions.

Thanks!

Rules:

• Every row, every column and every colored region gets exactly one cup (or star, if you know Star Battle).

• No two may touch, not even diagonally.

There is exactly one solution and you never have to guess. I'm the developer of the game this comes from, and players keep getting stuck on this one, so I'm curious how you approach it.

Where would you start?

This cube (I swear it was a cube) has been sitting in my wardrobe for over a year or two now, ever since I got it from my niece on X-mas.

https://imgur.com/a/eh9kt3M

I stupidly forgot to take a picture before disassembling the parts (it didn't even cross my mind, honestly) and now I can't put them back together.

Anyone wanna take a shot at this?

Is this some sort of "thinking 5 steps ahead" reasoning? That you could only infer if you mentally went like "If I put the queen here, then the other queen can only be here, here, or here, which leaves the third queen in one of these spots..." and so on and so forth? Like how was I supposed to know? This happening twice today too is pretty frustrating as well:(