


In this article, PHP editor Youzi will introduce how to create a lifelike butterfly animation in Geometric Sketchpad. This is a must-have skill for artists and educators who want to add some pizzazz to their projects. This guide will break down the process step by step, from creating the butterfly model to adding motion and animation effects. By following these instructions carefully, you will be able to create stunning geometric sketchpad butterfly animations that will impress your audience.
1. Prepare materials: half butterfly picture, preferably in PNG or GIF format with a transparent background.
2. Use a circle to construct a parallelogram
①Open the geometric sketchpad mathematical geometry drawing software, use the circle tool to draw a circle O, OA is its radius.
② Mark point O as the center of rotation. Rotate point A 90° around point O to get point B. Pick any point C on the circle between A and B, and select ⊙O, point C, and point B in order to construct Arc CB.
③ Construct point D on arc CB and create an animation button for point D on arc CB.
④ Mark the vector OD and translate the point A to E accordingly to get the parallelogram OAED.
3. Drag the prepared half butterfly picture to the geometric drawing board, select it, and copy it.
4. Select three points D, O, and E in sequence, and execute the [Edit] → [Paste Image] command.
5. Double-click the line segment OA (mark the mirror), select the half butterfly just pasted on the three points D, O, and E, and perform the [Transform]-[Reflection] operation. Then you can draw the other half of the butterfly.
6. Delete half of the butterfly dragged in at the beginning, hide the redundant auxiliary, click the animation button, and a living butterfly will fly.
The above is the detailed content of How to draw butterfly animation on Geometric Sketchpad_Design method of butterfly animation on Geometric Sketchpad. For more information, please follow other related articles on the PHP Chinese website!

Microsoft PowerToys is free. This collection of tools developed by Microsoft is designed to enhance Windows system functions and improve user productivity. By installing and using features such as FancyZones, users can customize window layouts and optimize workflows.

ThebestalternativestoPowerToysforWindowsusersareAutoHotkey,WindowGrid,andWinaeroTweaker.1)AutoHotkeyoffersextensivescriptingforautomation.2)WindowGridprovidesintuitivegrid-basedwindowmanagement.3)WinaeroTweakerallowsdeepcustomizationofWindowssettings

Microsoft PowerToys does not require a license and is a free open source software. 1.PowerToys provides a variety of tools, such as FancyZones for window management, PowerRename for batch renaming, and ColorPicker for color selection. 2. Users can enable or disable these tools according to their needs to improve work efficiency.

Microsoft PowerToys is completely free. This tool set provides open source utilities that enhance Windows operating system, including features such as FancyZones, PowerRename, and KeyboardManager, to help users improve productivity and customize their operating experience.

PowerToys is not the default component of Windows 11, but a set of tools developed by Microsoft that needs to be downloaded separately. 1) It provides features such as FancyZones and Awake to improve user productivity. 2) Pay attention to possible software conflicts and performance impacts when using them. 3) It is recommended to selectively enable the tool and periodically update it to optimize performance.

The way to download Microsoft PowerToys is: 1. Open PowerShell and run wingetinstallMicrosoft.PowerToys, 2. or visit the GitHub page to download the installation package. PowerToys is a set of tools to improve Windows user productivity. It includes features such as FancyZones and PowerRename, which can be installed through winget or graphical interface.

PowerToys is a free collection of tools launched by Microsoft to enhance productivity and system control for Windows users. It provides features through standalone modules such as FancyZones management window layout and PowerRename batch renaming files, making user workflow smoother.

PowerToys needs to be run in the background to achieve its full functionality. 1) It relies on system-level hooks and event listening, such as FancyZones monitoring window movement. 2) Reasonable resource usage, usually 50-100MB of memory, and almost zero CPU usage when idle. 3) You can set up power-on and use PowerShell scripts to implement it. 4) When encountering problems, check the log files, disable specific tools, and ensure that they are updated to the latest version. 5) Optimization suggestions include disabling infrequently used tools, adjusting settings, and monitoring resource usage.


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