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tapwelder
05-19-2006, 02:24 AM
One of my current jobs requires me match a scroll that already exist. However, I cannot take the scroll.

I remember this from a few years ago. One of those things you don't think you'll ever need.

The development of a mathematically true scroll follows a sequence in called fibonnocci numbers or the "golden mean".

The sequence goes 0,1,1,2,3,5,8,13,21,... where numbers after 1 are the sum of the two previous numbers.

By setting up squares following the sequence, scrolls can be drawn easily.

looking at the picture attached. Beginning at the top small square in the middle draw an identical square (0+1)^2, next to those two squares another square is drawn with sides equal to the sum of the first two small squares (1+1)^2...this pattern continues.

Basically if you start with 1"sq then another 1"sq below that. The next will be a 2"sq the next will be 3"sq and the next 5"sq the next 8"sq and so on.

Drawing an arc in each square generates a scroll. see photo.

I worked backward, since I needed a scroll that was 13" wide. My first square is 1-5/8 in.

I'll transfer it to a piece of sheet metal, welded a form onto it and forge the scrolls.

tapwelder
05-21-2006, 11:14 PM
As mentioned in the last post I'd never used the Golden Mean method to make a scroll. It is pretty cool. Biggest advantage I see, is the arc placed in each square reduces the scroll to several quarter circles. I was able to roll the 1/8"x1.5" jig, then tack it to the drawing. Also it is easy to calculate the amount of material need by by calculating the circumference of each quarter circle.

The pictures below show my progress.

1. The pattern becomes a jig.
2. Using a bending fork to bend, yeah that is red hot.
3. The bending fork/ digging tool for my sons.
4. the matching scrolls. 3/8x1" stock.

The process is simpler than it may appear. I had to do some calculation because I was trying to match an existing pattern.