For a nice entry game for a group setting, I recommend Carcassonne. It has a simple and engaging basic gameplay with a surprising amount of depth, that can easily be scaled up and down in complexity depending on your group's preference and experience level by simply adding more pieces/mechanics.
Carcassonne is also really nice with children. You can start them on just the "puzzle" aspect on attaching matching tiles, without scoring.
Our oldest child is now capable of the base game, and I can still make it interesting for me by going for secondary objectives, such as filling difficult gaps ;-)
Very clever to introduce it to kids as purely a puzzle game! I'll keep that in mind.
When my girlfriend and I play, we sometimes give unofficial bonus points as compensation for suboptimal plays that fill out unseemly gaps that would otherwise stay open. Makes for a nice, aesthetic endstate board without handwringing over your score :b
In particular, the core disagreement seems to be about whether the automorphisms of C should keep R (as a subset) fixed, or not.
The easy solution here would be to just have two different names: (general) automorphisms (of which there might be many) and automorphisms-that-keep-R-fixed (of which there are just the two mentioned.
If you make this distinction, then the approach of construction of C should not matter, as they are all equivalent?
To add to the above: The high-performance commercial solvers typically offer a free (as in beer) licence for academics (students and researchers), so this subgroup has a smaller incentive to develop a competing solver.
Similarly, researches who do spend their time implementing solver algorithms and running tedious computational experiements (the work that the software vendors put in) have historically had difficulties getting academic credit for their work, because the journals favored theoretical work.
That being said, with HiGHS and SCIP, we have two open-source solvers developed in an academic setting, with a lot their graduates joining commercial software vendors. So it's not like these are two completely separate worlds.
Was there some issue in customer support, or getting spare parts?
Is it about the new products that have since come out?
I'm also using a Framework notebook for the past two years and have been quite happy, but nothing needed replacement so far...
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