I have a question to find the surface plot on the list of data with different data length. Each of the sample a different length, how can I combine all these data and find the best fit surface for the 3D graph plot? Appreciate the advice. Thank you.
Prange = {{-0.1, 0.7}, {0, 32}, {0, 20}}
Dimensions5cmMean ={{0, 5, 10.0283}, {1/5, 5, 10.4103}, {2/5, 5, 8.66286}, {3/5, 5, 7.34104}}
G5 = ListPointPlot3D[Dimensions5cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Pink]
Dimensions7cmMean ={{0, 7, 11.425}, {1/7, 7, 11.3625}, {2/7, 7, 10.4944}, {3/7, 7, 9.76909}, {4/7, 7, 9.08636}}
G7 = ListPointPlot3D[Dimensions7cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Purple]
Dimensions10cmMean ={{0, 10, 12.8775}, {1/10, 10, 14.2447}, {1/5, 10, 12.9257}, {3/10, 10,11.984}, {2/5, 10, 11.2065}, {1/2, 10, 10.5361}, {3/5, 10, 9.87188}}
G10 = ListPointPlot3D[Dimensions10cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Green]
Dimensions20cmMean ={{0, 20, 14.7506}, {1/20, 20, 16.2232}, {1/10, 20, 15.504}, {3/20, 20, 14.6201}, {1/5, 20, 13.9161}, {1/4, 20, 13.266}, {3/10, 20, 12.7178}, {7/20, 20, 12.2796}, {2/5, 20, 11.8446}, {9/20, 20, 11.4573}, {1/2, 20, 11.0733}, {11/20, 20, 10.7722}, {3/5, 20,10.4332}}
G20 = ListPointPlot3D[Dimensions20cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Orange]
Dimensions27cmMean ={{0, 27, 16.8722}, {1/27, 27, 18.2381}, {2/27, 27, 17.2052}, {1/9, 27,16.4461}, {4/27, 27, 15.95}, {5/27, 27, 15.4401}, {2/9, 27,15.0268}, {7/27, 27, 14.5422}, {8/27, 27, 14.19}, {1/3, 27,13.9292}, {10/27, 27, 13.5257}, {11/27, 27, 13.2465}, {4/9, 27, 12.9662}, {13/27, 27, 12.7288}, {14/27, 27, 12.5179}, {5/9, 27, 12.275}, {16/27, 27, 12.0376}}
G27 = ListPointPlot3D[Dimensions27cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Blue]
Dimensions30cmMean ={{0, 30, 12.5678}, {1/30, 30, 16.6086}, {1/15, 30, 16.7578}, {1/10, 30, 16.3722}, {2/15, 30, 15.7368}, {1/6, 30, 15.0586}, {1/5, 30, 14.4477}, {7/30, 30, 13.8928}, {4/15, 30, 13.3904}, {3/10, 30, 12.9197}, {1/3, 30, 12.4946}, {11/30, 30, 12.0886}, {2/5, 30, 11.7595}, {13/30, 30, 11.4233}, {7/15, 30, 11.1133}, {1/2, 30, 10.833}, {8/15, 30, 10.6007}, {17/30, 30, 10.3411}, {3/5, 30, 10.1111}}
G30 = ListPointPlot3D[Dimensions30cmMean, PlotRange -> Prange,
AxesLabel -> {"ε", "L", "KΩ/cm"},
PlotStyle -> Red]
Show[{G5, G7, G10, G20, G27, G30}]
ListPlot3D[ Join[Dimensions5cmMean, Dimensions7cmMean, Dimensions10cmMean, Dimensions20cmMean, Dimensions27cmMean, Dimensions30cmMean]]
? $\endgroup$