No problem....but yes a selfbow could have a 5 piece construction if you so desired....
Well the answer is easy enough then
You will be limited by the width of your horns. Unless you plan on laminating multiple strips side by side.
Thicker is quicker is the rule but of course going too thick and narrow will lead to instability issues.
How many hornbows have you made before? If you have any pictures of the sort of design you plan on using i'll be able to help further.
There is a section on the forum for hornbows in particular.
I always regarded a selfbow as a single piece core, but I guess it is more common to see splices now. I have made 3 successful ones in the past, but sadly due to instability in life only thing I have left from before is tools. 1 was a tatar like I am planning and 2 were Mongol inspired. Had used wide and narrow setups with a core of rock maple and they were little slower than I wanted.
I thought the general discussion may be better than hornbow since it is likely another month before I even get all my materials together to start building. Planning out design aspects now, I will have enough for 3 bows, with just 1 being the thick and narrow to test it out with an identical dimensions and materials one that is more standard thickness and width. Both these I am looking at a tatar design, but not sure on the 3rd yet.
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Still.... The material of your core becomes less relevant also. You're not harnessing the power of Osage after you bury it in the core.
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I get it becomes less relevant, but it is the optimal choice for a narrower build. Will reduce the issues that could arise from the thick and narrow design element.