The full Algodoo experience relies on mouse/keyboard precision and a screen large enough for detailed drawing. An Android touchscreen adaptation would require significant re-engineering, which the company has not undertaken.
Once you have installed the Algodoo APK, the possibilities are endless. You can browse the Algobox, a massive online library containing thousands of scenes created by other users. This community aspect allows you to download existing contraptions, tear them apart to see how they work, and then modify them to create something entirely new. Key features of the mobile version include:
A simple "click and drag" interface optimized for touchscreens.
You can find the legitimate, safe download at the official Algoryx website or on Steam.