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Hi. I am interested in puzzle designing and wanted to design one too! I have already installed Solidworks so can anyone help me about how to design cubes in SOLIDWORKS?
I only designed a puzzle in Solidworks once, so I don't know too much about it. These videos show you the process of designing twisty puzzles in Solidworks:
How to pillow a puzzle using Solidworks
How to make a Megaminx on Solidworks
Twisty Puzzles a la Vi
I recommend trying to find some more tutorials on making basic shapes first, and then get familiar with the techniques shown in the video (making a sketch, creating a surface by rotating the sketch around an axis, and pattern the resulting surface around).
If you need more help, you can try using the forum at twistypuzzles.com, too!