To create a similar functionality to the page you mentioned, here's a simple JavaScript code snippet that changes the case of the input text. This code can be directly pasted into your Blogger page using the HTML/JavaScript widget.
```html
Alternate Case Tool
Alternate Case Tool
```
### Instructions:
1. Copy the entire code above.
2. Go to your Blogger dashboard.
3. Navigate to the "Layout" section.
4. Click on "Add a Gadget" where you want the tool to appear.
5. Choose "HTML/JavaScript."
6. Paste the copied code into the content box.
7. Save your changes.
This code will create a simple web page with an input box where users can enter text, a button to convert the case, and a display area for the output. The case alternates between uppercase and lowercase letters based on their positions in the string.