Difference between revisions of "3D Graphics View"
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| − | Using the [[Tools|construction | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> |
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| − | {{note| | + | |
| + | =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 Tools|''3D Graphics View Toolbar'']] is displayed at the top of the GeoGebra window, with the ''Undo / Redo'' buttons in the top right corner. | ||
| + | |||
| + | The ''3D Graphics View'' is part of the [[Perspectives#3D_Graphics_View_Perspective|''3D Graphics Perspective'']], although you may add a ''3D Graphics View'' window to any [[Perspectives#Customized_Perspectives|''Perspective'']] at any time by using the ''[[View Menu]]'' or the ''Views button'' in the [[Style_Bar#3D_Graphics_View_Style_Bar|''3D Graphics View 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 [[Style_Bar#3D_Graphics_View_Style_Bar|''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 [[GeoGebra_5.0_Desktop_vs._Web_and_Tablet_App#Customizing_the_Layout_of_the_User_Interface|change the layout]] of GeoGebra’s user interface according to your needs. | ||
| + | |||
| + | =Creating Mathematical Objects= | ||
| + | ==Constructions with the Mouse== | ||
| + | Using the [[3D Graphics Tools|construction ''Tools'']] available in the [[3D Graphics View#3D Graphics View Toolbar|''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 [[3D Graphics Tools|''Tool'']]. | ||
| + | {{note|Any object you create in the ''3D Graphics View'' also has an algebraic representation in the ''[[Algebra View]]''.}} | ||
| + | {{Example|1=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.}} | ||
| + | |||
| + | ==3D Graphics View Toolbar== | ||
| + | The [[3D Graphics Tools|''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 [[Tools#Toolboxes|''Toolbox'']] that contains a selection of related [[Tools|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). | ||
| + | |||
| + | {{note|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 points in the ''[[3D_Graphics_Tools#Plane_Tools|Planes Toolbox]]'' or ''Tools'' that allow you to create geometric solids in the [[3D_Graphics_Tools#Geometric_Solids|Geometric Solids Toolbox]].}} | ||
| + | |||
| + | ==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#3D_Graphics_View_Toolbar|''3D Graphics View Toolbar'']], or directly enter the algebraic representation of these objects in the ''[[Input Bar]]'' or [[Input Bar|''Input Field''] of the ''[[Algebra View]]'' (GeoGebra Web and Tablet Apps). | ||
| + | {{Example|1=Enter <code>A=(5, -2, 1)</code> 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). | ||
| + | {{Example|1=Enter <code>f(x, y)=sin(x*y)</code> in order to create the corresponding surface.}} | ||
| + | |||
| + | ==Commands== | ||
| + | In addition to the wide range of [[:Category:Commands|''Commands'']] available for the other ''[[Views]]'' of GeoGebra, there also is a selection of ''3D Commands'' specifically for the ''3D Graphics View''. | ||
| + | {{Example|1=Let <code>A=(2, 2, 0)</code>, <code>B=(-2, 2, 0)</code>, <code>C=(0, -2, 0)</code>, and <code>D=(0, 0, 3)</code>. Input the command <code>Pyramid[A, B, C, D]</code> and hit the {{KeyCode|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,_Dependent_and_Auxiliary_Objects|''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. | ||
| + | |||
| + | ==Moving Objects using Keyboard Shortcuts== | ||
| + | In the ''3D Graphics View'', you may use the {{KeyCode|Page Up}} key in order to move a selected object up and the {{KeyCode|Page Down}} key in order to move a selected object down. | ||
| + | |||
| + | =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 {{KeyCode|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 {{KeyCode|Shift}} key. | ||
| + | |||
| + | {{note|You can go back to the default view by selecting the button ''Back to Default View'' in the [[Style_Bar#3D_Graphics_View_Style_Bar|''3D Graphics View Style Bar'']].}} | ||
| + | |||
| + | ==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 hold the {{KeyCode|Shift}} key and 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 / Stop Rotating the View'' in the [[Style_Bar#3D_Graphics_View_Style_Bar|''3D Graphics View Style Bar'']]. | ||
| + | |||
| + | {{note|You can go back to the default view by selecting the button ''Back to Default View'' in the [[Style_Bar#3D_Graphics_View_Style_Bar|''3D Graphics View Style Bar'']].}} | ||
| + | |||
| + | ==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''. | ||
| + | {{hint|You may also use the wheel of your mouse to zoom.}} | ||
| + | |||
| + | ==3D Graphics View Style Bar== | ||
| + | The [[Style_Bar#3D_Graphics_View_Style_Bar|''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 [[Tools|''Tool'']] or object you select, the buttons in the ''[[Style Bar]]'' adapt to your selection. Please see [[Style_Bar#Style_Bar_Options_for_Tools_and_Objects|Style Bar Options for Tools and Objects]] for more information. | ||
Revision as of 12:23, 23 October 2014
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.
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 3D Graphics View 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.
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).
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 Bar|Input Field] of the Algebra View (GeoGebra Web and Tablet Apps).
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).
f(x, y)=sin(x*y) in order to create the corresponding surface.
Commands
In addition to the wide range of Commands available for the other Views of GeoGebra, there also is a selection of 3D Commands specifically for the 3D Graphics View.
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.
Moving Objects using Keyboard Shortcuts
In the 3D Graphics View, you may use the Page Up key in order to move a selected object up and the Page Down key in order to move a selected object down.
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.
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 hold the Shift key and 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 / Stop Rotating the View in the 3D Graphics View Style Bar.
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 Toolin order to zoom in the 3D Graphics View.
Hint: You may also use the wheel of your mouse to zoom.
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.
