Why Quartersawn Lumber Is So Stable: The 0-1-2 Rule In Action
So, now because of my earlier post, “Have You Heard About Shrinkage,” you’ve been thinking 0-1-2, 0-1-2, slow, slow, quick, quick (if you’ve ever taken a dance class with your wife you’ll get that one), and you are still a little confused. Most likely you got bored reading about the 0-1-2 rule I wrote about earlier and drifted off, but this is where it all comes together.
Lumber basically comes in three categories of cuts, which refer to the angle of the growth rings in relation to the surface of the lumber; flatsawn, quartersawn, and riftsawn. A board can be any of these three or anywhere between these three, and since the growth rings form a circle, the category can even change within a board. That’s right, wider boards can have centers that are flatsawn while the outer edges are riftsawn and possibly quartersawn. That is why I push for an understanding of the cut of lumber and worry less about the name.
To the right are the three cuts in their most pure form (the three in the top right of the log diagram) and others that are thrown in for fun. The “fun” ones are to show that it doesn’t matter what process was used to get the lumber from the log (flatsawing, quartersawing, etc.) or its orientation in the log, it is the growth ring direction that counts. The growth rings of flatsawn lumber are parallel to the widest surface, while the growth rings of quartersawn lumber are perpendicular to the widest surface. The rings of riftsawn lumber are at a 45 degree angle. Remember, these refer to their purest forms and there are many cuts in between (as demonstrated by the “fun” names like Nifty Rifty Flatsawn).
The next illustration shows the 0-1-2 rule in action. The three illustrations are table tops glued up from several pieces of wood. The first one is flatsawn lumber, the second is riftsawn, and the third is quartersawn. The numbers represent proportionally how much each piece will move in a given direction (remember that the length moves 0). In this case it is shown as shrinkage from a low-humidity environment, but it could also be expansion if the piece was stored in a high-humidity environment. Either way, the proportion of movement is the same. To make the proportions mean something, make them into fractions. Across the width, flatsawn lumber moves 2 over 1 when expressed as a fraction or 2/1, which simplifies to 2. Quartersawn moves 1 over 2 or 1/2. If you compare those two numbers (2 to 1/2), flatsawn moves four times as much as quartersawn across the width.
If I didn’t just lose you, then you can see by looking at the numbers and the second illustration that quartersawn lumber has the least amount of movement across the width, while flatsawn has the most. This makes the quartersawn the more stable of the two as far as expansion and contraction goes.
The other advantage to quartersawn lumber is its ability to stay flat. While flatsawn lumber has a propensity to cup, quartersawn lumber does not cup, and the 0-1-2 rule is the reason why. All of the heavy internal forces exerted on quartersawn lumber are in the thickness of the wood and going in only one direction, and they have little effect on the shape of the lumber. Those same forces on a flatsawn board are going across the entire face and in an arched trajectory. When these forces pull hard during shrinkage or push hard during expansion, they cause the lumber to take an arched shape that we call cup.
Quartersawn lumber will stay flat and move the least amount when in service. However, it is not so stable that the wood movement can be ignored in construction. When joining two boards, any movement between them that is not proportionally the same and in the same direction must be addressed by allowing the wood to move. Remember the 0-1-2 rule, and look at the boards you are joining to see if the numbers match. It is as easy as 0-1-2.
Have You Heard About Shrinkage?
As woodworkers we have developed our skills worrying about shrinkage, many knowing that quartersawn lumber is more stable, but not really understanding why. We know a piece of wood is going to get fatter in high-humidity and skinnier in lower humidity, but to what extent, and how is that going to effect the shape of the lumber. If the lumber that is being used isn’t obviously quartersawn then what will happen? Is it flatsawn? Or, is it riftsawn? Or, maybe, kinda riftsawn?
I say stop worrying about, and trying to name, the condition of each piece of wood when trying to understand how it will move. A simple rule can be applied to the log to understand wood movement, which can then be easily translated to the lumber. Following this rule will tell you how the lumber is going to shrink, no matter which part of the log it came from or the direction it was cut. Just looking at the endgrain will tell you everything you need to now about the lumber you are using.

The end view of this white oak shows how logs crack or check on the ends as they dry out. The cracks open up because of twice the amount of shrinkage in a circular direction.
I call the rule the 0-1-2 rule, which is a simple ratio of wood movement in three directions in a log. The first direction is along the length of the log. Since the movement along the length is negligible the number is 0. Basically, lumber does not shrink in length. The next number, 1, is applied across the end of the log. In this direction the lumber does shrink, and in a ratio of 1 to the 2 in a circular direction, or half as much. The third number is the 2. In this circular direction, the log shrinks twice as much as it does across the log.
This 1-2 ratio is what causes all the kerfuffle in wood movement. Since the two directions aren’t shrinking and/or expanding at the same rate, wood can’t just be thrown together any direction and expected to stay together. These movement forces are great and will blow things apart or break lumber if not allowed to move.
There is a lot more to be said in a complete discussion of wood movement, but this rule lays the groundwork for all further discussions. Study this one and get to know it like the back of your hand. After you do, it won’t matter what the cut of wood is called, you can just look at the end of the board, envision where it came from in the log, and know how it wants to move.



