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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
ViewPoint
ViewPoint
is an option for Graphics3D and related functions which gives the point in space from which three-dimensional objects are to be viewed.
DetailsDetails
- ViewPoint->{x, y, z} gives the position of the view point relative to the center of the three-dimensional box that contains the objects.
- The view point is given in a special scaled coordinate system in which the longest side of the bounding box has length 1. The center of the bounding box is taken to have coordinates
. - Common settings for ViewPoint are:
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{1.3,-2.4,2} default setting {0,-2,0} directly in front {0,-2,2} in front and up {0,-2,-2} in front and down {-2,-2,0} left-hand corner {2,-2,0} right-hand corner {0,0,2} directly above - The following symbolic forms can also be used: »
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Above above, along the positive z direction Below below, along the negative z direction Front in front, along the negative y direction Back at back, along the positive y direction Left left, along the negative x direction Right right, along the positive x direction {Left, Top}, etc. corners - Choosing a ViewPoint farther away from the object reduces the distortion associated with perspective.
- Infinite coordinates can be used to specify orthographic views: »
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{0,0,Infinity} view from above (plan view) {0,0,-Infinity} view from below {0,-Infinity,0} view from the front (front elevation) {0,Infinity,0} view from the back {-Infinity,0,0} view from the left {Infinity,0,0} view from the right - The coordinates of the corners of the bounding box in the special coordinate system used for ViewPoint are determined by the setting for the BoxRatios option.
- In a notebook front end, dragging with the mouse rotates a 3D object, by changing the azimuthal components of ViewPoint, as well as the setting for ViewVertical.
- Dragging with the mouse while pressing Ctrl, Alt, or Option zooms in or out, changing the value of ViewAngle, but keeping ViewPoint fixed.
- Explicit settings for ViewVector or ViewMatrix override settings for ViewPoint.
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