Examples
Examples
Try the starting example
- Coping run length (mm)
- 10000
- Maximum unit length (mm)
- 600
- Supplied joint width (mm)
- 10
- Coping unit count
- 17
- Equal unit cut length (mm)
- 578.823529
- Joint start positions (mm)
- [578.823529412,1167.64705882,1756.47058824,2345.29411765,2934.11764706,3522.94117647,4111.76470588,4700.58823529,5289.41176471,5878.23529412,6467.05882353,7055.88235294,7644.70588235,8233.52941176,8822.35294118,9411.17647059]
Try another scenario
- Coping run length (mm)
- 10500
- Maximum unit length (mm)
- 600
- Supplied joint width (mm)
- 10
- Coping unit count
- 18
- Equal unit cut length (mm)
- 573.888889
- Joint start positions (mm)
- [573.888888889,1157.77777778,1741.66666667,2325.55555556,2909.44444444,3493.33333333,4077.22222222,4661.11111111,5245,5828.88888889,6412.77777778,6996.66666667,7580.55555556,8164.44444444,8748.33333333,9332.22222222,9916.11111111]
Calculation method
Calculation method
Coping unit count
ceil((a+c)/(b+c))
Equal unit cut length (mm)
(a-(ceil((a+c)/(b+c))-1)*c)/ceil((a+c)/(b+c))
Joint start positions (mm)
J([(i+1)*((a-(ceil((a+c)/(b+c))-1)*c)/ceil((a+c)/(b+c)))+i*c for i in range(ceil((a+c)/(b+c))-1)])
Symbols and units
- a
- Coping run length (mm)
- b
- Maximum unit length (mm)
- c
- Supplied joint width (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Equalized units cut no longer than maximum; no end joint counted. Positive run/unit and nonnegative joint width; reject impossible negative adjusted unit length. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.