2D Graphics

5 2D Graphics

5.1 2D Drawer window

Click to bring 2D Drawer window which can also be used to start solving the system you entered interactively. You can open few windows by clicking this button multiple times.

1.: Toolbar (each button function explained below).
2.: X axis variable. This is independent variable by default.
3.: Y axis variable.
4.: Graphics plane
5.: Y axis with marks. Mark step is 1 coordinate unit (adjustable), marks can be turned off.
6.: X axis with marks. Mark step is 1 coordinate unit (adjustable), marks can be turned off.
7.: Solution. It has a holder at the beginning looking like a small circle. Click on it to select a solution (color gets changed, solution also gets selected in main window). Click somewhere else to unselect.
8.: Current mouse coordinates (this is handy to start new solutions).
9.: Resizing handle. You can resize this window as much as you want.

5.2 Interactively starting solution from given point

Click “Run froim point” button to enter the mode (mouse cursor will be changed accordingly). Click on a plain where you want to run new solution from. You should get something like this:

Note that new solution gets added to the main window list and it’s also drawn on every other drawer open.

You can quickly create a set of solutions by clicking at different points:

5.3 Selecting solutions

Every solution has a first point where independent variable $t = t0$ . It’s marked by a small circle called “handle”:

Click it to select:

Note how it gets selected in main window (it works in both ways — you can select it in the list as well). You can explore, export and remove selected solution.

Selected solution is marked by different color for each second step. You choose the color using the color menu (since version 1.1, see below). Sometimes it’s handy to observe how steps change:

5.4 Zoom and Pan

Click Zoom button to bring zoom menu

Select Zoom In or press Ctrl + combination to increase the drawing in 2:1 ratio:

Zoom in level is virtually endless. Use “Zoom Out” to unzoom (Ctrl –). Use “Zoom to rectangle” (Ctrl Z) to select a rectangle by mouse. This rectangle would be scaled to. Use “Fit all” (Ctrl F) to show everything.

Click Pan button to enter Panning mode (mouse cursor changes). You can drag your drawing for exploring its different parts. Panning is available only when there is something out of window borders.

5.5 Color

Click Palette button to bring the color menu:

By selecting first item you can:

change color of selected solution (if one is selected)
change current color for all subsequet solutions otherwise

Please note that said above is also valid for all odd steps.

By selecting second item you can:

change color of each even step of selected solution (if one is selected)
change current color of each even step for all subsequet solutions otherwise

For example:

5.6 Settings

Click Drawer Settings button to bring settings window:

Here you can:

1.

Turn on/off axes. If axes are turned on you can:

Click Adjust button to adjust axes lengths automatically according to current drawing.
Click Color... button to set axes color.
Edit semi-axes lengths manually (in coordinate units).

2.

Turn on/off line widths for axes and solutions. When turned off, the lines are drawn without widths at any scale level (“hair” lines). Sometimes for better quality of exported images you’d need to set those widths manually.

3.