OctaStar this is analogous Little Chop Cube or 24-Cube: 24-Octahedron
I've been wanting to do this puzzle. I have a great relationship with her ;)
I'm the first person in the world who solve it! I wrote about this in the forum
this is a very difficult puzzle - the first 3-cycle which I found - 92 step
http://www.twistypuzzles.com/forum/viewtopic.php?f=15&t=23478
ADDON
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You need 40 mm sphere... How to create metal sphere
http://www.youtube.com/watch?v=G95lHeV8ohU
2 * 24 = 48 magnets with 5 x 5 mm size (diameter x width).
Magnets you can find on ebay:
http://shop.ebay.com
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1. You purchase DIY Kit (do-it-yourself kit). Its not an assembled puzzle, but separate details.
2. You also have to buy a set of stickers or cut them by yourself.
http://speedcubing.hu/webshop/index.php
sticker seller: Oliver Nagy - rubikkocka@gmail.com
3. or contact directly if you want to buy a fully dyed, assembled and stickered puzzle.