```
Many ways to attack a problem.
```

The problem is actually quite trivial, if we employ some

mathematics. By the way if math is a dirty word for you, do not

bother to read any further. Only brave, mathematically inspired souls

should venture beyond this paragraph.

Let’s unfold the bezel. What we have is a rectangle. To match the

bezel to the curved surface means to find a geometrical shape where 3

sides are matching the rectangle of the same dimensions, and the

fourth side is defined by a graph of the function of the surface we

are trying to match with.

By saying that we trying to find geometrical shape, we are saying

that we want to know the area of such shape. By phrasing the problem

in this way, we reduced the problem to finding an integral of the

function defining the intersection of our bezel with the curved

surface we are matching to.

Plainly speaking, an integral is simply a sum of areas of

rectangles, arranged in such way, that by varying the height of the

rectangles, the tops are approximating the graph of the surface

defining function. Theoretically, the width of the rectangles is

tends to zero, but for our purposes, it does not have to. We should

choose the width which only provides sufficient accuracy. There is no

reason to bother with smaller values.

Once we understood the mathematics behind the problem, the practical

implementation is quite easy.

Make a bezel equal to required height + maximum height of the

surface, we are matching to. A little bit if extra height would not

hurt. With dividers opened to maximum of the surface height, mark

the line all around the bezel. Take fine snips and divide the marked

off part of the bezel into strips of 1.5 - 2 mm width, same way you

prepare your solder. Do not go beyond the marked line.

Now, the marked part of the bezel is a sum of rectangles that we

talked about. To find an integral all we need to do is simply the

following. Gently tap the divided end of the bezel against the

surface. The portions of the strips that are extraneous, should bend

away. After a few taps, you should have the contour matching the

surface. Open dividers a couple of millimeters and using this contour

scribe another line on the bezel above the contour. Cut off divided

portion of the bezel along this line and we done.

Leonid Surpin

www.studioarete.com