A 30X dilution means that the original substance has been diluted 1,000,000,000,000,000,000,000,000,000,000 times. Assuming that a cubic centimetre of water contains 15 drops, this number is greater than the number of drops of water that would fill a container more than 50 times the size of the Earth. Imagine placing a drop of red dye into such a container so that it disperses evenly. Homeopathy's "law of infinitesimals" is the equivalent of saying that any drop of water subsequently removed from that container will possess an essence of redness. Robert L. Park, Ph.D., a highly respected physicist, and Executive Director of The American Physical Society, has noted that since the least amount of a substance in a solution is one molecule, a 30C solution would have to have at least one molecule of the original substance dissolved in a minimum of 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 molecules of water. This would require a container more than 30,000,000,000 times the size of the Earth.
Oscillococcinum, a 200C product "for the relief of colds and flu-like symptoms," involves "dilutions" which are even more ludicrous. The supposed "active ingredient" is prepared by incubating small amounts of a freshly killed duck's liver and heart for 40 days. The resultant solution is then filtered, freeze-dried, rehydrated, repeatedly diluted, and impregnated into sugar granules. If a single molecule of the duck's heart or liver were to survive the dilution, its concentration would be 1 in 100200. This number (which has 400 zeros!), is vastly greater than the estimated number of molecules in the universe (about one googol, (1 followed by 100 zeros). In its February 17, 1997, issue, U.S. News & World Report noted that only one duck per year is needed to manufacture the product, which had total sales of $20 million in 1996. The magazine named the unfortunate bird "the $20-million duck."
As a matter of fact, the laws of chemistry state that there is a limit to the dilution that can be made without losing the original substance altogether. This limit, which is related to Avogadro's number, corresponds to homeopathic potencies of 12C or 24X (1 part in 1024). Hahnemann himself realized that there is virtually no chance that even one molecule of original substance would remain after extreme dilutions. But he believed that the vigorous shaking or pulverizing with each step of dilution leaves behind a "spirit-like" essence; a “memory”; "no longer perceptible to the senses”, which cures by reviving the body's "vital force." Modern proponents assert that even when the last molecule is gone, the "memory" of the substance is retained. This notion is completely and utterly unsubstantiated. The implications of this go further; if true, every substance encountered by a molecule of water could imprint an "essence" that could exert powerful (and unpredictable) medicinal effects when ingested by a person.
Many proponents claim that homeopathic products resemble vaccines because both provide a small stimulus that triggers an immune response. This assertion, again, is erroneous. The amounts of active ingredients in vaccines are much greater and can be measured. Moreover, immunizations produce antibodies whose concentration in the blood can be measured, however highly diluted homeopathic products produce no measurable response. In addition, vaccines as prophylactic medication, not as a treatment.
For a simplified understanding of homeopathy, I would urge you to watch this video, in which the presenter drinks 'homeopathic' bleach. It is also worth noting that there have been multiple protests, during which people have taken homeopathic 'overdoses', with, predictably, no adverse effects; more specifically, with no effects whatsoever!