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4. Curve Explorer and Pilot Screen

Main Tools of 3DMath Explorer:


It is very easy work to pilot mathematical graphs with 3DMath Explorer. Two basic tool use for piloting.They are Curve Explorer and Pilot Windows/Screen. Curve Explorer is a tool that lets you see and change all properties of curves of active graph screen . On the other hand Pilot Screen is a window which opens to space that mathematical curves get life or it is projection of 3D vision that formed in this space and reflected on to 2D computer screen.




Pilot Screens with their modifiable properties like curves that draws in them gives users ability to change all properties of it. You can change display properties of all pilot elements that exist in pilot screen. You can change pen and brush color of axisís and grids, or change perspective and fogging effect on and off. You can also change fogging density and horizon point distance of perspective or open four view screen to see front, right, top and perspective view of the graph in the same screen. You can rotate graph over x and y axisís, and zoom the graph to get any size of it.


With Curve Explorer, you can move over curves that exist in Pilot Screen one by one, and change their properties. You can add a new curve or delete existed curves. You can add them to template curves or transfer them to another pilot screen. If you want to quickly define e new curve, you can select a template curve or transfer a curve from an other pilot screen. But do not forget, you have to press Apply button to apply any changes on to the pilot screen.


5. Other Forms and Tools

Other Forms and Tools of 3DMath Explorer:  


5.1.Template Curve Selection or Template Curve Entry


The easiest method to enter e new curve into a pilot screen with curve explorer is selecting a template curve from template curves by using Template Curve Selection form that opens with Select button on the Curve Explorer. In this form, you can select a template curve by double click on the grit or pressing OK button.


You can see active template curve in preview screen. You can easily change properties of this screen with aid of buttons and other subjects.



In Template Curve Selection form you can enter a new template curve or change/delete an existed template curve too. Any change or a new template curve entry actives with Post button.


When the form opens from File Menu as Template Curve Entry to enter new curves into  template curves file, its appearance changes a little. Close and Help buttons take over by OK and Cancel buttons and colors of the grit and many others subjects become white color.



This form like Pilot Screens opens as a child form of main form. So the treatments such as minimize, maximize horizontal/vertical tile that applies to Pilot Screens are also valid for it.


5.2.All Properties Form


With 3DMath Explorer, we pilot graphs in an object driven space. All properties of  this space can be change with All Properties Form. This form opens by selecting All Properties in Display Menu, or pressing  button on Standard Toolbar, or by All Properties command in the menu that opens with right mouse click on Pilot Screen. But the easiest way to open this form is double click on Pilot Screen and the form pops up on to computer screen.





In this form, properties of Pilot Screen are grouped in four division.


In General Tab, background color, fogging and its density, perspective and horizon point of perspective, little axisís visibility and its color can be change and all properties in this form can be made default screen properties, or default properties that set before can be load.


In Axisís and Grids Tabs, display properties of axis and grid plot elements can be change. Axis numbers visibility can be change on and off or Grids can be cover with polygons.


In Animation Tab pilot can be animate by open Auto Rotate property and Timer Interval of Auto Rotation can be select.




3DMath Explorer, has two toolbars named as View Toolbar and Standard Toolbar. By using toolbars, user almost can do every thing without going up to any menu.


Visibility of toolbars can change with Toolbars submenu in View Menu or with menu that opens by right mouse click on an empty space by side of  them.


Except these two toolbars, a third bar exists in the program. This is Status Bar and it displays short information about operations to guide users. But you can hide this bar to get more vision space on your computer screen. To do this go View Menu and remove the thick before Status Bar command.


The visibilities of this bars save to an ini file as view properties of program. Program read and apply this properties next time it opens.


In Animation Tab pilot can be animate by open Auto Rotate property and Timer Interval of Auto Rotation can be select.


5.3.1.View Toolbar


Many properties of piloting screen can be change directly by using View Toolbar that you see in the picture below.



Now letís take buttons and their tasks in order. The first six buttons change visibility of XY, XZ, YZ grids and x, y, z axisís. The Num button  changes axisí numbers visibility. Next three buttons change draw types of all curves to polygons, lines and points at the same time. Next four buttons open or close fogging, perspective, Four View and Auto Rotate properties of pilot screen. The next four buttons that comes after this buttons set front, right, left and perspective view of graph. When you set the button with hand picture down, you can carry center of graph with mouse. On the other hand when you set the next button down you rotate the graph over x and y axisí with mouse. The two buttons that comes next zoom the graph to twice its current size or zoom the graph to half its current size. To zoom the graph an exact size in numbers, all you have to write it down the next area in this toolbar or select a value from its drop down list. You can open Zoom form by double click in this area and select a zoom size by using this form too


This form opens  with Custom in Zoom Menu or by double click on zoom combo box in view toolbar or by Zoom command in the menu that opens with right mouse click on Pilot Screen


5.3.2.Standard Toolbar


Many buttons in Standard Toolbar almost exist all applications as a standard. So we donít need to mention all about them. So we take only some of them, and tell their tasks.



* button opens a new pilot window/screen  that has only default piloting elements that wants to visible.

 button opens files with í.tecí extension to show and work on in a new graphing window/screen.

 button uses to save graph in active window as technical file format (with í.tecí extension) or the simple picture format file (with Ď.bmpí extension).

 button prints out graph in active window.

 button copies the graph in active window as a bitmap picture and puts it on the clipboard so that you can paste this picture to any word or picture editing program.

* button shows or hides Curved Explorer tool window.

* button shows or hides Operator Select tool window

* button shows or hides View Toolbar.

* button opens Vertex Values form to see coordinate values of vertexes that used to draw graph in active window.

* button opens All Properties form to change properties of active windows.

 button opens a simple calculator program named Function Calculator to calculate functions.


5.4.Operator Select Tool Window


Now letís mention about the two form that named above.  First of them is Operator Select Tool Window, and  it is a tool that make easy to enter the functions that given by users as parameters of curves. With help of this tool, operators, parenthesis, functions, numbers and constants can be entered more quickly.










Real Division


Integer Division






Calculate the N!**




Boolean NOT


Boolean AND


Boolean OR


Boolean XOR




Not Equal










Left-Right Parenthesis


Absolute Value Left-Right Parenthesis


Constant Pi 3,14159265358979..


Constant 2,71828182745905.......


Constant 1


Constant 0



Cosine function


Sine function


Inverse cosine function**


Inverse Sine function**


Hyperbolic cosine function**


Hyperbolic Sine function**


Inverse cosine Hyperbolic function


Inverse Sine function Hyperbolic **


Tangents function**


Cotangents function**


Inverse Tangents function**


Inverse Cotangents function**


Hyperbolic Tangents function**


Hyperbolic Cotangents function**


InverseTangentsHyperbolic function


Inv. Cotangents Hyperbolic function


Sekant function**


Cosecant function**


Inverse Secant function**


Cosecant function**


Hyperbolic Secants function**


Hyperbolic Cosecants function**


Inverse Secants Hyperbolic function


Inv. Cosecants Hyperbolic function


Natural logarithm function**


Absolute Value**


Logarithm function (base 10)


Signum of a number**


Logarithm function (base 2)


Greater than1.0 function**


Ph function**


Zero function**


Ceil  function**


Floor function**


Closest Integer Value function**


Integer Part of a real number**


Factorial (Calculate the N!) function


Exponent (e^)  function**




Square Root**

**The functions that banned in limited trial version


This form is also important to show functions, constants and operators that can be use in 3DMath Explorer. In this form, as you see, same buttons are disabled. These are functions and operators that you canít use even you write them manually in trial version. This is the only limitation for trial version.


5.5.Vertex Values Form


The second form that named above is Vertex Values Form. This form lets you see coordinates of vertexes, that belongs to curves and used to pilot them, with functional properties of curves. With the aid of navigation buttons, you can move over curves. The form shows sum of lines length and (if exist) sum of surface area of curves.



This form opens up in many way. For example it can be open by Vertex Values in Tools Menu or by click on * button on Standard Toolbar or selecting Vertex Values in right mouse menu that opens on Pilot Screens.


5.6. Looks Form


Looks Form enables you  more efficiently select a view. Select one of tree main view or write rotation angles of x and y axisís, and click OK. This form opens by selecting Other in Looks Menu or by Look command in the menu that opens with right mouse click on Pilot Screen.



Instead of this form, you can get any view of  pilot by mouse. Just press right mouse button and hold it, rotate the graph on x and y axisís by mouse movements, and release the button when the graph comes to the rotation that you want to get.


5.7. Zooming Form


Although we already mentioned about this form when telling buttons task in View Toolbar, we have to take it again in this topic. Zooming form enables you select more efficiently a zoom rate. Select a zoom rate or write a zoom percentage, and click OK. This form opens by Custom command in Zoom Menu or by double click on zoom combo box in View Toolbar or by Zoom command in the menu that opens with right mouse click on Pilot Screen.



Of course zoom value of Graph can change much easily with zoom in and zoom out buttons or zoom field in view toolbar.


5.8. Wall Paper Properties Form


Our last form is Wall Paper Properties Form that opens by selecting Wall Paper in View Menu or by double click on main form wall paper. With this form main form wallpaper properties can change. After choosing the file that will be used for wall paper and its display pattern, new properties would set up by pressing OK button.



5.9. Function Calculator


Function Calculator is a simple calculator program that calculates functions. In 3DMath Explorer you can externally run this program as a additional tool. You can always use this program alone as simple and very useful calculator. Write your mathematical functions and values of variants that are needed for calculation, and click Calculate or press Enter. The result will be generate and appear in result box.



In this version of Function Calculator, there is almost everything which you want to be in a good calculator.

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Last modified: 15/09/2002.