I,ve had this running around inside my head for some time now. Surfding (on another thread) prompted me into writing it up.... and also to see if i'm crazy or not. What ya reckon?
Sorry if its hard to follow, I didn't like school that much... well I didn't go much anyway.
A few points to paint the picture
1. It appears (to me) if you use a ratio of fin placement (front and back) divided by board size then multiply that by a required new board size to obtain a new fin placement, the fin placements get rather excessive as the board grows in length.
Ratio, e.g 11.25" (side fins for 6' board) divided by 72" (6') multiplied by 96" (8') = 15"
2. We need a ratio formula that will provide a truer fin placement when scaling boards.
3. Lets say for argument sake, each customer rides the same size short board as their height (it might become clearer why later)
4. the surfers stance from front foot to back foot then to the groin area forms a isosceles triangle, then from the groin to head a straight line.
5. Lets say the groin area is approx 1/2 the height of the surfer
6. The distance between the surfer’s feet (stance) will increase "using ratio" by the hight to the groin area (creating the triangle), Not the overall height of the surfer/board.
7. How to find the new fin placements in relation to what I’ve just said.
8. Find the two extremes of the board sizes in the new list of fin positions you want to make, e.g 72" (6') to 96" (8')
The 72" board has 3.5 (back fin) 11.25 (side fins) now find, with ratio, the measurements for the fins for the 96" board. Then divide the DIFFERENCE between both the fin positions of both 72" and 96" by 2 (because stance to groin triangle is approx 1/2 height of surfer/board)
Ratio. 3.5 (back fin on 72") divided by 72 then multiply by 96" = 4.666666. The difference between the two back fins is 1.1666666 divide this by 2 = 0.5833333. Then add on to original 3.5 from 72" board = 4.0833333 (this becomes the new position for 96" board)
Ratio. 11.25 (side fins on 72") divided by 72 then multiply by 96" = 15. The difference between the two side fins are 3.75 dividing this by 2 = 1.875. Then add on to original 11.25 from 72" board = 13.125(this becomes the new position for 96" board)
This is our NEW fin positions for 96" board 4.0833333" and 13.125"
Now to find a fin position for every board you want to increase by an inch (in between the two boards 72" to 96").
Get the distance in between back fin of the 72" board and the back fin of the 96" board. And also, a distance between the side fin of the 72" board and the side fin of the 96" board.
*B back = 0.5833333 (distance between 72" and 96")
*S side = 1.875 (distance between 72" and 96")
Now because there is 24" in between 72" and 96" divide above *B and *S by 24. That will give you the amount we have to increase both back and side fins by for every inch (in board length) we want to increase for our new fin positions.
*B 0.5833333 divided by 24 = 0.02430555" (every inch up add this much, back fin)
*S 1.875 divided by 24 = 0.078125" (every inch up add this much, side fin)
Am I tripping?