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It all starts here - basic "lines
drawing" of a hull is arranged in
such a way
as to represent the shape of the hull in all three
axis - X, Y, and Z.
These are quite different from what is normally called
a "line drawing"!
The lines drawing
depict what you would find if you were to slice the
hull up on a particular axis.
The "profile"
is the side view, the "plan view"
is the boat as seen from
above, and the "body plan"
or "sections" show what the slices would
look like as seen from the ends.
In each view there are two sets of straight lines, and
one set of curves.
The Lines

At the top of this drawing is the profile view.
The curved lines are called "buttlines"
which are shown as straight
lines on the other two views.
At the bottom is the planform.
The curved lines here are called "waterlines".
If the hull were sitting in the
water that deep, that's the shape the water would show.
The vertical lines are called "stations".
They are located aft of a vertical
reference line refered to as the "DATUM"
(the zero point location).
Lastly are the sections,
shown to the right side. These curves represent the
cross section shape at each station. I.E. as if the
boat were sliced up like a
loaf of bread.
The horizontal straight lines shown in the section
drawing are the waterlines.
The vertical straight lines are the buttlines.
It is the intersection
of all these lines (plus a few diagonals to smooth the bottom)
that describes a "fair" surface.
A fair surface
is free of extraneous bumps or hollows.

It looks something like this when projected in 3D.
That's the port side shaping up. Your eye is above and
in front of the
drawing. If you see it from "below", it
looks like the starboard side
pointing the wrong direction?
The section
lines are on the right side (yellow).
The waterlines
are at the bottom (green).
The buttlines
are the purple curves at the top.
Notice how a line is represented in each of the three views.
For every line, two of the views show it as a straight
line while the third shows
the curvature.
To create this 3D shape I've simply taken the section
lines and placed them at
the appropriate station. The waterlines are raised up
to their correct location.
Then the buttlines are slid in place.
The Art of Fairing
requires that all three lines intersect at the same point.
If they don't then there is a lump or dip somewhere on
one (or more!) of the
lines. These have to be corrected.
In the old days this was done with long flexible
sticks of wood (called "battens")
bent around nails driven into a FULL
SIZED DRAWING on the lofting room floor.
An eighth of an inch was considered very good tolerence.
Today, large ships are built in interlocking sections
and must fit a lot closer than
that. So our drawings are done on a computer screen
with a CAD program.
Just like you see in these examples...
On these drawings I've tried to hold tolerance to
1/100 of an inch -
in all three dimensions.
Catalina 27:

Here our hull has been rendered as a wire frame -
with hidden lines removed to reduce the confusion.
The "Load Waterline", that is the
waterline with her normal load
aboard, is picked out in blue.

Smooth rendered!
The fin keel will be added afterward.
Starting to look like a Catalina 27 yet?
A full keel example (Triton 29):

This one is a bit tougher due to the deep keel, which
must be faired
into the hull. But it came out pretty nice in the end.
It did take quite a bit more time and effort, tho.
The Load Waterline of this drawing is picked
out in red.
Again, that's where the water would be when she is
properly loaded.

Doing it on the computer is the same, but harder - or
easier - depending on how
you feel about computer work. But that's the way it's
done these days.

Can you "see" the graceful shape of this one?
A couple of others "finished out" a bit more...
Catboat:

This one is a traditional Cat Boat. Single sail set forward on a fat hull.
Schooner:

A traditional schooner hull and rig for the true romantics.