OK, this is my proposal for the add element menu. This feature reduces the space required for on X-Y plot in handbooks a lot.

Axis marker (if not migrated to Format dialog)
Basic Elements
random rolygon with 4 points
polygon with markers (demonstrate the augment(P, "x") method)
group of polygons
centered point markers (a sample of every available shape)
simple text (standard 2D style)
text with extended formatting
Functions (perhaps with random or cyclic selection of examples, as now implemented for implicit and parametric)
explicit
implicit
parametric
Shapes
Whatever is available, possibly with properly transposed matrices in order to not extend vertically over several pages, as in your example document.

Also, for implicit plots I' suggest a choice of "above" or "below". Possibly default to "above" and allowing for expressions with relational operators.
x^2+y^2<1
x^2+y^2>1

The image below is a bit rough because the expression just switches between -0.5 and 0.5

There is a rendering glitch in animations. If the y2-axis is not activated, then the corresponding frame line is missing in animation mode.

Also, if the region is cloned, the animation settings get lost and there is an error message "limits must be integer".

Taylor.sm (20.05 KiB) downloaded 518 time(s).

See please
https://smath.com/en-US/forum/topic/ZECsU/Double-pendulum-model-and-animation-

Plugin updated.

Changes:

- fixed the problem with cloning animation properties.

As for the drawing bug, it's more difficult to fix for now.

There are some language glitches in the format dialog. Some annotations are shown in German even if the program is set to English and the program was started like this and the region was created in this mode. The system language is German.

This problem prevents me to create correct screenshots for the English version of my book on SMath. I am not sure what happens when I switch the Windows language (never touch a running system).



SMath Studio: SMath Studio Enterprise 1.3.0.9126 portable, 64-bit
OS: Microsoft Windows NT 10.0.26100.0; Windows 10 Enterprise LTSC 2024, 64-bit
Screen: 1920x1080 px, 96x96 dpi, 96 GP.CDPI
Localization: language=ENG; dec.symbol=; arg.separator=; OS dec.symbol=; OS arg.separator=; OS d.g.separator=; units=eng;
Framework: CLR 4.0.30319.42000

installed versions:
v4
Client 4.8.09032
Full 4.8.09032
v4.0
Client 4.0.0.0

Plugins:
- [AppDir] AreaRegion - 1.73.9126.0
- [AppDir] HTMLFileType - 1.73.9126.0
- [AppDir] ImageFileType - 1.73.9126.0
- [AppDir] MathRegion - 1.73.9126.0
- [AppDir] PictureRegion - 1.73.9126.0
- [AppDir] PlotRegion - 1.73.9126.0
- [AppDir] SMathFileType - 1.73.9126.0
- [AppDir] SpecialFunctions - 1.73.9126.0
- [AppDir] SpecialFunctions - 1.73.9126.0
- [AppDir] StandardToolboxButtons - 1.73.9126.0
- [AppDir] TextRegion - 1.73.9126.0
- [UserDir] CheckBoxList Region - 1.0.7806.5399
- [UserDir] CheckBoxRegion - 1.0.9141.26639
- [UserDir] Combobox Region - 0.1.7806.5423
- [UserDir] ComboBoxList Region - 1.0.8763.41296
- [UserDir] Conditionally Formatted Label - 1.0.8138.35464
- [UserDir] CoolProp Wrapper - 6.4.8214.13502
- [UserDir] CustomFunctions - 1.2.9372.30444
- [UserDir] Data Exchange - 1.1.7813.24580
- [UserDir] Development Tools - 1.1.7490.41956
- [UserDir] DotNumerics - 1.1.8269.16536
- [UserDir] Excel Files Plugin - 1.3.7832.3161
- [UserDir] Excel Input-Output Functions - 1.1.8225.33532
- [UserDir] FFTPACK - 1.1.7563.3712
- [UserDir] GNU Scientific Library (GSL) - 2.7.8829.21568
- [UserDir] GPCWrapper - 1.0.9161.7296
- [UserDir] Hyperlink Region - 1.0.7806.5225
- [UserDir] Image Region - 2.100.9141.40696
- [UserDir] include - 0.2.8085.37792
- [UserDir] Mathcad File Access Functions - 1.0.8011.30679
- [UserDir] Mathcad Toolbox - 0.6.9367.4182
- [UserDir] Mathcad Toolbox - 0.6.9367.4182
- [UserDir] MatrixExtensions - 1.0.8302.28555
- [UserDir] MaximaPlugin - 1.98.8797.27896
- [UserDir] Modeller Region - 1.0.8763.37680
- [UserDir] Nonlinear Solvers - 1.1.7097.23301
- [UserDir] Numeric Up-Down Region - 1.0.8763.41162
- [UserDir] PDF Files Plugin - 1.0.7097.27694
- [UserDir] RadioButtonList Region - 1.0.8763.40835
- [UserDir] Slider Region - 1.0.9041.20211
- [UserDir] SnapshotRegion - 1.1.9308.28020
- [UserDir] Statistical Tools - 1.0.9201.22240
- [UserDir] Table Region - 0.3.8770.23606
- [UserDir] TeX File Type - 0.2.7097.30337
- [UserDir] Text Region Utilities - 0.4.7802.40621
- [UserDir] ViewerFileType - 1.1.9099.39268
- [UserDir] Writer Region - 0.23.8034.36139
- [UserDir] XlsxImportExport - 1.3.7845.24796
- [UserDir] XMCDFileType - 1.13.9019.2329
- [UserDir] X-Y Plot Region (JXCharts) - 0.4.9441.40064
- [UserDir] X-Y Plot Region (JXCharts) - 0.4.9441.40064
- [UserDir] ZedGraph Region (ZedGraph) - 0.1.7806.5613

The problem is that the dialog box forms aren't part of the plugin. They're standard components that use system localization. I replace some labels at runtime, but these are special cases.
Ideally, I should create custom localization, but that's currently impossible. I use Russian and English where available. The rest of the components use system localization.
The dialog boxes for curve properties are created at runtime, and I don't have access to them during design. In the future, I'd like to move away from these forms and use my own localized ones, but it's unclear how to do this with the program's existing tools.

I can't currently fix anything while the server is migrating to a different version control system.

P.S. I could try changing the dialog form's environment when it launches, but I'm not sure that will work. In any case, we need to wait for the git repository and tools to become available.