6. Working with 3D Options

3D Options / Box

Boxed

The bounding box can be switched on or off.	In[1]:= b = Graphics3D[Stellate[Dodecahedron[]], Boxed -> False]; Show[b] In[2]:= JavaView[b]
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BoxRatios

BoxRatios is an option for Graphics3D and SurfaceGraphics which gives the ratios of side lengths for the bounding box of the three�dimensional picture.	In[1]:= br = Graphics3D[Stellate[Dodecahedron[]], BoxRatios -> {1., 2., 1.4}]; Show[br] In[2]:= JavaView[br]
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FaceGrids

FaceGrids is an option for three�dimensional graphics functions that specifies grid lines to draw on the faces of the bounding box.	In[1]:= fg = Graphics3D[Stellate[Dodecahedron[]], FaceGrids -> {{-1, 0, 0}, {1, 0, 0}}]; Show[fg] In[2]:= JavaView[fg]
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AxesEdge

AxesEdge is an option for three�dimensional graphics functions that specifies on which edges of the bounding box axes should be drawn.	In[1]:= ae = Graphics3D[Stellate[Dodecahedron[]], Axes -> True, AxesEdge -> {{-1, -1}, {-1, 1}, {1, 1}}]; Show[ae] In[2]:= JavaView[ae]
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BoxStyle

BoxStyle is an option for three�dimensional graphics functions which specifies how the bounding box should be rendered.	In[1]:= bs = Graphics3D[Stellate[Dodecahedron[]], BoxStyle -> {RGBColor[1, 0, 0], Dashing[{0.05, 0.05}]}]; Show[bs] In[2]:= JavaView[bs]
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3D Options / Light

Lighting

Lighting is a flag to disable the automatics lighting and use default coloring by height or apply a ColorFunction.	In[1]:= plf = Plot3D[Sin[xy], {x, 0, 3Pi/2}, {y, 0, 3Pi/2}, Lighting -> False]; Show[plf] In[2]:= JavaView[plf]
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LightSources

LightSources is an option forGraphics3D and related functions that specifies the properties of point light sources for simulated illumination.	In[1]:= ls = Graphics3D[Stellate[Dodecahedron[]], LightSources -> {{{1., 0., 0.}, RGBColor[1., 0.4, 0.4]}, {{-.15, .85, 0.}, RGBColor[0.4, 1., 0.4]}, {{-.15, -.85, 0.}, RGBColor[0.4, 0.4, 1.]}}]; Show[ls] In[2]:= JavaView[ls]
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AmbientLight

AmbientLight is an option for Graphics3D and related functions that gives the level of simulated ambient illumination in a three�dimensional picture.	In[1]:= al = Graphics3D[Stellate[Dodecahedron[]], AmbientLight -> RGBColor[0., 0.3, 0.]]; Show[al] In[2]:= JavaView[al]
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Shading

Shading is an option that specifies whether the surfaces should be shaded.	In[1]:= s = Graphics3D[ Stellate[Dodecahedron[]], Shading -> False]; Show[s] In[2]:= JavaView[s]
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3D Options / Mesh

This options are shown with a SurfaceGraphics object. Mathematica scales the surface automatically to box ratios x : y : z = 1 : 1 : 0.4 and clips very high and low z-values. JavaView shows the surface with the correct z coordinates, without automatic clipping so the surface looks different.

Mesh

Mesh is an option for SurfaceGraphics and DensityGraphics that specifies whether an explicit x�y mesh should be drawn.	In[1]:= nm = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], Mesh -> False]; Show[nm] In[2]:= JavaView[nm]
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MeshStyle

MeshStyle is an option forPlot3D,DensityPlot and related functions which specifies how mesh lines should be rendered.	In[1]:= ms = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], MeshStyle -> {Thickness[0.01], RGBColor[1., 0., 0.], Dashing[{0.02, 0.02}]}]; Show[ms] In[2]:= JavaView[ms]
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MeshRange

MeshRange is an option for ListPlot3D, SurfaceGraphics, ListContourPlot, ListDensityPlot and related functions which specifies the range of a and a coordinates that correspond to the array of a values given.	In[1]:= mr = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], MeshRange -> {{-Pi, Pi}, {-E, E}}, Axes -> True]; Show[mr] In[2]:= JavaView[mr]
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ClipFill

ClipFill is an option for SurfaceGraphics that specifies how clipped parts of the surface are to be drawn.	In[1]:= cf = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], ClipFill -> {GrayLevel[0.], GrayLevel[1.]}]; Show[cf] In[2]:= JavaView[cf]
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Shading

See 3D Options / Light.

HiddenSurface

HiddenSurface is an option for SurfaceGraphics which specifies whether faces are drawn. See also Shading.	In[1]:= hs = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], HiddenSurface -> False]; Show[hs] In[2]:= JavaView[hs]
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3D Options / View

ViewPoint

This option defines (in coordinates relative to the bounding box) the camera position.	In[1]:= vp = Graphics3D[Stellate[Dodecahedron[]], ViewPoint -> {3., 3., 1.}]; Show[vp] In[2]:= JavaView[vp]
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ViewCenter

The command ViewCenter modifies the interest of the camera.	In[1]:= vc = Graphics3D[Stellate[Dodecahedron[]], ViewCenter -> {1, 1, 1}]; Show[vc] In[2]:= JavaView[vc]
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ViewVertical

ViewVertical is an option for Graphics3D and SurfaceGraphics which specifies what direction in scaled coordinates should be vertical in the final image.	In[1]:= vv = Graphics3D[Stellate[Dodecahedron[]], ViewVertical -> {1., 1., 1.}]; Show[vv] In[2]:= JavaView[vv]
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SphericalRegion

Shows no effect in JavaView. SphericalRegion is an option to scale the geometry inside the display such, that it could be rotated without exceeding the display size - this should be ever possible in JavaView.

PolygonIntersections

PolygonIntersections is an option for Graphics3D which specifies whether intersecting polygons should be left unchanged. Note: because of the large size of the MGS file (1 MB) the right cell shows an image. Follow the comparison link to watch the applet.	In[1]:= pi = Show[Graphics3D[{Stellate[Dodecahedron[], -0.5], Icosahedron[]}, PolygonIntersections -> False]]; Show[pi, PlotRagne-> All] In[2]:= JavaView[pi]
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