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.
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.