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Looking at installing waney wood window sills. These are bay windows.
Is there a way of maintaining the grain and the waney edge.
I’m thinking a jigsaw type joint
Or some form of creative jointing.
Usually it's not possible to keep absolute continuity of grain because the angles mean that either the front edge or back edge only will match with its neighbour(s). If you draw out the necessary angles the degree (!) to which this will be significant will soon be obvious. {edit} It's the opposite of waney edges round the outside of (for instance) a table where the grain/edges can be matched all the way round as long as you have long enough boards and are accurate with your cuts.
Typically waney edges will be more jarring if they are miles out (compared to grain which unless you have particularly wild character is reasonably easy to match visually if you are using single/adjacent boards) but they can be modified/shaped relatively easily to give a close(ish) match so that's where I'd tend to work from.
As for jointing, can be a simple or complex as you like - most people would prefer them to be invisible so no need for anything overly complex really.
Not all boards are dead straight. If you look about you might find something with a natural curve to it
Example https://www.ebay.co.uk/itm/255008541199?hash=item3b5fb18a0f:g:1dQAAOSw8hlgvgen
Chances are a single board isnt going to be enough to span the entire bay, so you would need to find 2 of the same tree which you would joint in the middle.
Joining the two in the middle shouldn't be difficult, and maybe even something simple like a butterfly joint in a contrasting timber.
For some reason that has always escaped me waney edged boards seem to sell at a premium in some places, when in fact straight clean timber without knots or defects are the desirable timbers for use in fine furniture construction.
That said,even i suppose in the waney board, it being straight would be more useful to most people looking to use that style, rather than something with a pronounced bend to it. so maybe if you can find the right sawmill, you could get them at a better price.
I think waney edged boards tend to be uk-grown, whereas the bulk of the timber we buy is shipped in from abroad and so has the waney edges cut off and everything standardised to make shipping easier and lighter. No point shipping all that stuff that most people cut off and get rid of.
UK grown timber will tend to be harvested in lower volume, is arguably more prized (our seasonal variations make for more interesting grain patterns due to growing conditions) and is quite often air-dried too.
For waney edges, I would suggest knocking off the actual bark(it'll fall off at some point anyway) and you'll be left with a more solid edge to work with.
Joining the two in the middle shouldn’t be difficult, and maybe even something simple like a butterfly joint in a contrasting timber.
This could look nice.

Where you have an angled join between two different boards, I'd lay them across each other first to get the closest match then when jointed I would tend to use an angle grinder with a flap disc and just blend them into other as best as I could following grain lines as much as possible.
Joint-wise, (depending how thick the boards are) you could use biscuits along the joint, and rout a couple of worktop connectors underneath. I would glue the joint but perhaps only towards the front where the joint is seen, allowing any movement to happen further back independently of each section.
Pics when you do it 👍