Implicitly Defined Regions in 2D

Use ImplicitRegion to define regions in 2D.

show complete Wolfram Language input

In[13]:=

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                  14}, {12, 70, 11}, {4, 12, 13}, {10, 70, 9}, {71, 
                  23, 22}, {2, 15, 1}, {79, 26, 25}, {74, 62, 61}, {
                  14, 15, 2}, {71, 72, 74}, {78, 82, 81}, {45, 44, 
                  83}, {73, 33, 75}, {67, 68, 76}, {33, 73, 32}, {75, 
                  76, 73}, {73, 77, 49}, {81, 44, 43}, {28, 83, 27}, {
                  29, 30, 46}, {70, 12, 4}, {31, 32, 48}, {46, 83, 
                  29}, {81, 43, 42}, {79, 25, 27}, {82, 79, 83}, {45, 
                  83, 46}, {82, 78, 80}, {47, 31, 48}, {30, 47, 46}, {
                  39, 78, 40}, {41, 40, 78}, {41, 81, 42}, {83, 28, 
                  29}, {30, 31, 47}, {66, 76, 75}, {67, 76, 66}, {73, 
                  48, 32}, {83, 44, 81}, {49, 77, 50}, {73, 76, 77}, {
                  64, 65, 75}, {66, 75, 65}, {68, 77, 76}, {64, 75, 
                  34}, {26, 16, 1}}]]}, {}, {}, {}, {}}, 
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
               LineBox[{21, 22, 23, 24, 58, 59, 60, 61, 62, 63, 57, 
                56, 55, 54, 53, 52, 51, 35, 36, 37, 38, 39, 40, 41, 
                42, 43, 44, 45, 46, 47, 48, 49, 50, 69, 68, 67, 66, 
                65, 64, 34, 33, 32, 31, 30, 29, 28, 27, 25, 26, 1, 16,
                 17, 18, 19, 20, 21}], LineBox[{7, 6, 5, 4, 3, 2, 1}],
                LineBox[{7, 8, 9, 10, 11, 12, 13, 14, 15, 1}]}}],
AspectRatio->1,
Axes->{False, False},
AxesLabel->{None, None},
AxesOrigin->{Automatic, Automatic},
DisplayFunction->Identity,
Frame->{{None, None}, {None, None}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{None, None}, {None, None}},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->100,
Method->{"ScalingFunctions" -> None, "TransparentPolygonMesh" -> True,
               "AxesInFront" -> True},
PlotRange->{{-1.1, 1.1}, {-1.1, 1.1}},
PlotRangeClipping->True,
PlotRangePadding->{{0, 0}, {0, 0}},
Ticks->{Automatic, Automatic}]}
},
AutoDelete->False,
BaseStyle->{
GrayLevel[0.5], FontFamily -> "Helvetica"},
GridBoxAlignment->{
          "Columns" -> {}, "ColumnsIndexed" -> {}, "Rows" -> {{Top}}, 
           "RowsIndexed" -> {}, "Items" -> {}, "ItemsIndexed" -> {}},
GridBoxItemSize->{
          "Columns" -> {{12}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Automatic}}, "RowsIndexed" -> {}, 
           "Items" -> {}, "ItemsIndexed" -> {}}],
"Grid"],
FrameStyle->Directive[
Thickness[4], 
GrayLevel[0.5]],
RoundingRadius->5,
StripOnInput->False]}
},
AutoDelete->False,
GridBoxItemSize->{
     "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {}, 
      "Rows" -> {{Automatic}}, "RowsIndexed" -> {}, "Items" -> {}, 
      "ItemsIndexed" -> {}}],
"Grid"]\)

Wolfram Mathematica

Implicitly Defined Regions in 2D

Mathematica

Wolfram Mathematica

Implicitly Defined Regions in 2D

Related Examples

Mathematica