Polished points can be beautiful and intriguing to look at and are sometimes used for crystal healing or energy balancing.
Polished points are often, but not always, produced by polishing the existing surfaces of natural crystal points. Some people prefer natural points because they are exactly as nature or "Mother Earth" created them and so 'intended them to be'. Other people prefer polished points because the process of polishing the edges can make it much easier to see any structures inside the crystal - perhaps due to inclusions, or other crystals within the crystal. Such features can be beautiful in their own right and extremely interesting to geologists.
See also the main IvyRose Holistic section about Crystals & Gemstones.