I was watching a video by BDoubleO100 and got inspired to make a "Bridge calculator". What it does is mathematically determine the best spots to place blocks to build your bridge rounded to the nearest "half slab". I have uploaded and modified it to work in a googledoc so that anyone can use it and share it!
You can find the document here.
The two controllable variables are the horizontal bridge length and a "droopiness" number. I suggest playing with the droopiness value until you find one you like. Values for where to place blocks are then found on the right of the spreadsheet.
This can also be used to make arches and "upward facing" bridges by simply looking at it upsidedown. I will work at implementing this into the spreadsheet once i have the time! Feel free to share use and (if you can?) download it so you can use it more easily.
Please do not delete the plot as i was unable to find a way to protect it.
In case anyone is interested: the shape is based off of a catenary which is fairly similar to a parabola. It's shape is determined by simple second order differential equation.
My background is in engineering and applied mathematics =)
Let me know what you think or in which ways it could be improved. ENJOY!
I apologize for bringing up a long dead post, but it would be a beautiful thing if someone could create a "Plotz" version of this, or contact the author of the Plotz page and add this to it. It would be so helpful to be able to choose between slab and full block and simply tweak adjustments with a slider for size and droopiness, a click-button for slabs and a click button for inversion.
My suggestion at this point is to look at https://www.desmos.com/calculator/1lfpgnpoko (or search for "catenary arch graphing calculator"). The specific link lets you turn off the graph, axis, and numbers. Make the line for about what you want, and then do an image copy.
Put the image into GIMP (or other such software) and then "shrink" the image bitmap to about the size you want of "so many blocks high/ so many blocks long".
This isn't a perfect solution AT ALL, but it's one that will work. https://www.kevblog.co.uk/ has not been active for a long time, but I note on https://www.plotz.co.uk/ the copyright has been updated to 2019. It would be beautiful if someone could convince Kevin Reynolds to add "catenary arch" to his selection, but I don't think it likely.
EDIT: I posted on where Reynolds used his web page to build a sphere on Fortnite. That video was seven months ago, and I'm not sure how interested he would be to respond. But it might be worth the polite attempt to suggest adding catenary arch blocks in as a model. Maybe. Who knows?