Dihedral Angle Calculator, determine the compound angle formed by the intersection of two intersecting planes
The purpose of this page is to help you calculate the saw blade angle, or joint angle of the dihedral. A dihedral in geometric terms is the line formed where two planes (or climbing wall panels) intersect. This is a common situation when building climbing walls. Often, two panels will intersect at arbitrary angles. Often it is possible to take this measurement directly. However this is not always possible. This is an online calculator for determining the compound angle, or the dihedral angle where two panels meet. From this, the joint angles for the plywood edge and framing members can be determined.
Dihedral as a Climbing Term vs a Geometric Dihedral
This bears explanation because the term as used on this page is the geometric dihedral, yet the audience are climbers. So let me explain the difference... In the sport of climbing, a dihedral is a rock formation that is nearly vertical and forming a fairly sharp angle at the "dihedral" end. The meaning of dihedral when used as a geometric term is the line or vector that is formed along the intersection of two planes. In the context of building an indoor climbing wall, it is the line where the two climbing surfaces intersect. The intersection is the dihedral. The angle between the two panels is the dihedral angle.
Determine the dihedral angle so you know the miter angle setting for the saw blade. The calculator will give you the dihedral and joint angle for situations where you cannot measure it directly. When your walls are inclined, the dihedral angle is not the same angle as the angle on the horizontal plane. Adjusting your joint by this calculation will give you an exact and solid joint. Be sure to verify all angles using scrap wood before making your cuts.
Why Calculate Dihedral Angle
When building a climbing wall, it is useful to have the angle which the two climbing faces meet. The builder may not be able to take a direct measurement prior to building, and as a result may need to know this angle during the design phase.
How to find the Dihedral Angle
This online dihedral angle calculator gives you the angle between two planes. The planes, or panels can be elevated, inclined, rotated, or an any position or orientation.
- Determine the orientation of the two planes by inputting coordinates.
- Coordinates are simply the measurement of the length, width, and height relative to some originating point.
- Write the four coordinates down, come back to this calculator and input the numbers
- The calculator returns the dihedral angle and the joint angle.
- If you wish to joint the two panels with equal angles, simply divide the joint angle by 2.
How to Use the Dihedral Angle Calculator
The calculator is populated with the example's numbers. Just change the numbers with your measurements and click "Calculate Angle".