metric is like Jacobian of transformation of surface
metric is like Jacobian of transformation of surface
plot=Plot3D[1/Sqrt[x^2+y^2+1],{x,-4,4},{y,-4,4}]
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Plot3D[1/Sqrt[x^2+y^2+1],{x,-4,4},{y,-4,4},MeshAll]
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ColorFunction
DiscretizeRegion[DiscretizeGraphics[plot],MaxCellMeasure{"Length".2},PlotTheme"Lines"]
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MeshConnectivityGraph[%,2]//GraphPlot
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MeshConnectivityGraph[%146,2]//GraphPlot3D
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plot=RevolutionPlot3D[2*Sqrt[(r-1)],{r,1,3},BoxRatios1]
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plot=RevolutionPlot3D[2*Sqrt[(r-1)],{r,1,3},BoxRatios1,MeshAll]
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DiscretizeRegion[DiscretizeGraphics[plot],MaxCellMeasure{"Length".5},PlotTheme"Lines"];
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MeshConnectivityGraph[%,2]//GraphPlot
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MeshConnectivityGraph[%%,2]//GraphPlot3D
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