3D Graphics View
3D Graphics View User Interface
By default, the 3D Graphics View is opened next to the
Algebra View. In addition, either the
Input Bar is displayed at the bottom of the GeoGebra window (GeoGebra Desktop), or an
Input Field is integrated directly in the
Algebra View (GeoGebra Web and Tablet Apps).
The 3D Graphics View Toolbar is displayed at the top of the GeoGebra window, with
the
Undo / Redo buttons in the top right corner.
3D Graphics View |
The 3D
Graphics View is part of the
3D Graphics Perspective, although you may add a
3D Graphics
View window to any Perspective at any time by using the
View Menu or the
Views button in the
Style Bar.
Customizing the 3D Graphics View
You can customize the 3D Graphics View according to the mathematical topic you want to work with. The
basic setup can be changed using the 3D Graphics View Style Bar (e.g. display of coordinate
axes, xOy-plane, grid). In addition, the Preferences Dialog provides more options to
customize the
3D Graphics View. You may also change the layout of GeoGebra’s
user interface according to your needs.
Creating Mathematical Objects
Constructions with the Mouse
Using the construction Tools available in the 3D
Graphics View Toolbar you can create geometric constructions in the
3D Graphics
View with the mouse. Select any construction tool from the 3D Graphics View Toolbar and read the tooltip provided in
the
3D
Graphics View in order to find out how to use the selected Tool.
Any object you create in the |
Select the
Sphere with Center through Point Tool and click in the 3D Graphics
View twice. The first click creates the center point while the second click creates a sphere and a point on the sphere.
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3D Graphics View Toolbar
The 3D Graphics View Toolbar provides a wide range of Tools
that can be operated with the mouse and allow you to create the three-dimensional graphical representations of objects
directly in the 3D Graphics View. Every icon in the Toolbar represents a
Toolbox that contains a selection of related construction Tools. In order to
open a Toolbox, you need to click on the corresponding default Tool shown in the 3D Graphics View Toolbar
(GeoGebra Web and Tablet Apps) or on the small arrow in the lower right corner of the Toolbar icon (GeoGebra Desktop).
The Tools of the 3D Graphics View Toolbar are organized by the nature of resulting objects or the functionality of
the Tools. You will find Tools that create different types of planes in the
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Direct Input using the Input Bar
GeoGebra’s
3D Graphics View supports points, vectors, lines, segments, rays, polygons, and circles in a three-dimensional
coordinate system. You may either use the Tools provided in the 3D
Graphics View Toolbar, or directly enter the algebraic representation of these objects in the
Input Bar or Input Field of the
Algebra View (GeoGebra Web and Tablet Apps).
Enter A=(5, -2, 1)
into the Input Bar or Input Field of the Algebra View in order to create a point in the three-dimensional
coordinate system.
Furthermore, you may now create surfaces, planes, as well as geometric solids (pyramids, prisms, spheres, cylinders, and cones).
Enter f(x, y)=sin(x*y)
in order to create the corresponding surface.
Commands
In addition to the wide range of /Category:Commands.adoc[Commands] available for the other Views of GeoGebra, there also is a selection of 3D Commands specifically for the 3D Graphics View.
Let A=(2, 2, 0)
, B=(-2, 2, 0)
, C=(0, -2, 0)
, and D=(0, 0, 3)
. Input the command
Pyramid[A, B, C, D]
and hit the Enter key in order to create the pyramid with base ABC and apex D.
Moving Mathematical Objects in 3D
Move Tool
Using the Move
Tool you may drag and drop Free Points in the
3D Graphics
View. In order to move a point in the three-dimensional coordinate system, you can switch between two modes by clicking
on the point:
-
Mode xOy-plane: You may move the point parallel to the xOy-plane without changing the z-coordinate.
-
Mode z-axis: You may move the point parallel to the z-axis without changing the x- and y-coordinates.
Display of Mathematical Objects
Translation of the Coordinate System
You may translate the coordinate system by using the Move Graphics View Tool and dragging the
background of the
3D Graphics View with your pointing device. Thereby, you can switch between two
modes by clicking on the background of the
3D Graphics View:
-
Mode xOy-plane: You may translate the scene parallel to the xOy-plane.
-
Mode z-axis: You may translate the scene parallel to the z-axis.
Alternatively you can hold the Shift key and drag the background of the
3D Graphics
View in order to translate the coordinate system. Again, you need to click in order to switch between the two modes
while holding the Shift key.
You can go back to the default view by selecting the button
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Rotation of the Coordinate System
You may rotate the coordinate system by using the Rotate 3D
Graphics View Tool and dragging the background of the
3D Graphics View with your pointing device.
Alternatively you can right-drag the background of the 3D Graphics View in order to rotate the coordinate system.
If you want to continue the rotation of the coordinate system when the mouse is released, you may use the option
Start Rotating the View and
Stop Rotating the View in the 3D Graphics View Style Bar.
You can go back to the default rotation by selecting the button
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Viewpoint in front of an Object
You may use the
View in front of Tool in order to view the coordinate system from a viewpoint in
front of the selected object.
Zoom
You may use the Zoom In
Tool and
Zoom Out
Tool in order to zoom in the
3D Graphics View.
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3D Graphics View Style Bar
The 3D Graphics View Style Bar contains buttons to
-
show / hide the coordinate axes,
the xOy-plane, and a
grid in the xOy-plane
-
go
back to default view
-
change the
Point Capturing settings
-
start / stop rotating the view automatically
-
adjust the
view direction
-
choose the type of projection
-
open the
Properties Dialog (GeoGebra Web and Tablet Apps)
-
display additional
Views in the GeoGebra window (GeoGebra Web and Tablet Apps)
Style Bar for Tools and Objects
Depending on the Tool or object you select, the buttons in the Style Bar adapt to your selection. Please see Style Bar Options for Tools and Objects for more information.