Archive for What is Homeopathy

Homeopathic Description

Homeopathic medicines are micro-dosed natural substances derived from botanical, animal or mineral sources. A specific homeopathic medicine dilution is obtained by a precise and controlled process of successive “homeopathic dilution”. The medicine is diluted or de-concentrated and then vigorously shaken, traditionally referred to as succussion. This process transforms the original substance into a therapeutically active medicine.

Homeopathy is a safe and natural method to balance the body and allow the body to heal. Homeopathy stimulates the body’s ability to heal with very small amounts of natural substances.

The wonder of homeopathic medicine is in its safety, the incredibly small amount of medicine needed, and the rapidity of healing. Homeopathy is from 2 Greek words, homoios: meaning similar and pathos: meaning suffering. Homeopathy therefore means similar cures similar or like cures like. The word Homeopathy was first coined by Samuel Hahnemann, the founder of modern homeopathy.

Definitions of Common Homeopathic Terms

Short-term illness with temporary symptoms are termed ACUTE in Homeopathy. ACUTE illnesses respond well to Homeopathy. With ACUTE illness we often use low potencies that can be repeated safely, however, let us not forget that ACUTE illness may have a chronic component that is the cause initiating the ACUTE illness.

ALLOPATHY -another term for conventional medicine that uses opposing substances to suppress symptoms in the body.

CELL SALTS -homeopathic potenized minerals used by cells. Can be used regularly for general maintenance, or for specific health problems. Often used in conjunction with a single remedy or combination product to provide basic support to the cells. Cell Salts are used in my NuFem Skyn Homeopathic Serum and we have had great success with this product especially if used in conjunction with the entire skin care kit.

CLASSICAL HOMEOPATHY -the practice of finding the Simillimum for a person and giving one remedy at a time.

SUCCUSSION -forceful shaking, was originally done by hand. Nowadays much of it is carried out by machine, but even with mechanical aids it may take up to 10 or 12 weeks to prepare tinctures of the highest potencies. In the nineteenth century this time element led to the work of preparing some of these potencies being entrusted to people like lighthouse keepers, who had long, lonely hours on duty with only their light to tend. The rhythmic, carefully repeated motions required in trituration and succussion helped to keep them awake, while at the same time benefiting homeopathy.

Each succussion should be equivalent to the force exerted by an average healthy man when striking a hand-held phial (a firmly-stoppered test-tube or other laboratory container) forcefully against a firm surface. Hahnemann used a large leather-bound book. At each succussion the phial came to a brief stop, inertia making the liquid jump in the phial. Today machines imitate this action, but they need careful regulating and frequent maintenance to ensure that the succussion is standardized.

COMBINATION HOMEOPATHIC PRODUCT -a homeopathic product containing more than 1 homeopathic remedy. Combination products are commonly used in our increasingly polluted world for our complex health problems whether seasonal or chronic. No side effects with homeopathy, so remedies can be safely combined. Remedies may work together to strengthen supporting organs to speed response and recovery.

SIMILLIMUM -the remedy that most closely matches to a person’s set of unique symptoms.

Hering’s Law of Cure. Three observations made by Constantine Hering, M.D. (18001880), who is considered “the father of American homeopathy”:

  1. The human body seeks to externalize disease–to dislodge it from more serious internal levels to more superficial external levels. Thus, someone with asthma may develop an external skin rash as part of the curative process.
  2. Healing progresses from the top of the body to the bottom. Thus, someone with arthritis in many joints will generally notice relief in the upper part of the body before the lower part.
  3. Healing proceeds in the reverse order of the symptoms. Thus, the most recent symptoms will generally be the first to be healed, and in the process of cure a person may re-experience previous symptoms.

AGGRAVATION. Worsening in the patient’s condition after getting a homeopathic remedy. Homeopaths claim this can signify that the remedy was appropriate. Critics note that the concept helps them deny failure when the patient feels worse.

HOMOTOXICOLOGY. A system developed by German homeopath Hans Heinrich Reckeweg, who claimed that symptoms are the result of the body’s attempt to use “homotoxons” to detoxify the body. Reckeweg developed many homeopathic mixtures said to enhance “homotoxon” production. He also claimed that his remedies activate a “greater defence system'” that can neutralize and excrete homotoxins [3].

HOMOTOXINS. Substances (chemical/ biochemical) and nonmaterial influences (physical, psychic) that can cause all forms of ill health in humans [3].

HOMOTOXONS. Compounds resulting from chemical reactions that neutralize the poisonous property of homotoxins [3].

HORMESIS. The concept—based on the (obsolete) Arndt-Schulz law—that concentrations of potentially toxic substances below the amount that cause inhibition (toxicity) will cause stimulation. (It is well known that substances can have different effects at different concentrations, but they do not follow the general pattern proposed by homeopathy advocates.)Isopathy. Preparation based on causal agent.

LAW OF SIMILARS (“Like cures like”). Homeopathy’s fundamental concept, which alleges that: (a) any pharmacologically active agent will create a characteristic set of symptoms when administered to healthy individuals; (b) sick individuals will display a specific set of symptoms that express their illness; and (c) administration of the “similar” medicine to the sick patient will initiate a curative response [4].

MATERIA MEDICA (HOMEOPATHIC). Compilations of the symptoms reported duringhomeopathic provings. Each substance has a separate section that lists the various symptoms.

NOSODES. Homeopathic products made from pathological organs or tissues; causative agents such as bacteria, fungi, ova, parasites, virus particles and yeast; disease products; or excretions.


Homeopathic medicine potency in the U.S.A. is described by a two part, number and letter designation. You will see the potencies referred to as, 12X, 6C, 30C, 10M or 6LM. The number part indicates the number of times the source substance has been homeopathically diluted. The Letter portion indicates the dilution rate. X being the roman numeral 10, is the slowest dilution rate of 1/10 and LM is the fastest dilution rate of 1/50,000.

Potency is the strength of a homeopathic remedy. Homeopathy makes substances into healing remedies by diluting and succussion (shaking). Diluting negates any problems with substances that may be harmful in their raw state. Succussion enhances the healing properties of substances. The Potency strength is shown after the remedy name as a Roman Numeral along with a number that indicates the repetitions of dilutions and succussing. Decimal designation is X. Centesimal designation is C. Millesimal designation is M.

MOTHER TINCTURE-the original standardized preparation of a substance from which homeopathic potencies are made.

DECIMAL -potency based on the ratio of 1 part substance to 10 parts dilution. Designated with a X (in Europe designated with a D) after the remedy name. X potencies are considered low potencies. X potency is often used for children, sudden illness and first aid treatment. Decimal represents dilutions that are manufactured by mixing 1 part of the starting material with 9 parts of the diluting solution. Each subsequent dilution repeats the process of 1:10 dilution. A 6X dilution, for example, has gone through the process 6 times and contains 1 part of starting material per 1 million parts of final solution. Dilutions of 24X or greater are unlikely to contain a single molecule of original substance.

CENTESIMAL -potency based on the ratio of 1 part substance to 99 parts dilution. Designated with a C after the remedy name. C potencies are considered medium potencies. C potency is often used for seasonal problems and chronic conditions. The designation “C,” which is the Roman numeral for 100, represents dilutions that are manufactured by mixing one part of the starting material with 99 parts of the diluting solution. Each subsequent dilution repeats the process of 1:100 dilution. A 6C dilution, for example, has gone through the process 6 times and contains 1 part of starting material per 1 trillion parts of final solution. Dilutions of 12C or greater are unlikely to contain a single molecule of original substance.

M -potency based on the ratio of 1 part substance to 1000 parts dilution. Designated with a M after the remedy name. M potencies are considered high potencies. Please note letter “M” stands for number 1000 in Latin. Thus M potency would mean the same as 1M (which is actually 1×1000). Now if we put it all together, potency number 1000, 1000C, M or 1M indicate the same thing. Similarly, 30 and 30C would mean the same potency. So is the case with 200 and 200C. For example, a CM potency would mean 100M or hundred thousand.

LM -The millesimal (LM) scale diluting the remedy by 1 part to 49,999 for each potency.

  • Lower potencies X stay in the body a short period of time and can be used safely for repeat dosing. Helpful for first aid treatment, trauma, recovery from injury and for preventative dosing. X potencies are used for 1st Aid, trauma, recovery from injury, preventative dosing, sudden illness, seasonal problems, general family use.
  • Medium potencies C are used for first aid, seasonal ailments and chronic health concerns.
  • 200C is in the high range of the C potencies. 200C follows 30C potency well for stubborn symptoms.
  • High potencies M. for health problems or constitutional treatment. Very high potencies may stay working in the body for months.
  • High LM potencies are very popular and safe for dealing with children’s ailments, sensitive people and emotional issues.

Dilution Rates

X or D = 1/10 C = 1/100 M = 1/1000 LM = 1/50,000

The Diagram below shows how Homeopathic Medicine is made.




Homeopathy has been verified by 200 years and thousands or perhaps even millions of practitioners. When you employ homeopathy you are igniting the biological intelligence in the organism. Furthermore, homeopathy delivers bio-information to the organism, which is necessary for healing. There are various levels of homeopathy such as the traditional constitutional level and the therapeutic level. Homeopathy is a system of medicine that was founded in the early 19th century by a German physician, Dr. Samuel Hahnemann. It had its greatest popularity in the late 19th century here in the United States, when 15% of the doctors in this country were homeopaths. However, with the advent of modern medicine, homeopathy began to look old and stodgy and its popularity took a nose-dive. However, since 1980 homeopathy has seen a resurgence of interest in the United States and homeopathic books can be found in many bookstores and homeopathic physicians in most major cities.

Classical homeopathy rests on three principles: the “law of similars”, the single medicine, and the minimum dose. The law of similars states that a disease is cured by a medicine, which creates symptoms similar to those the patient is experiencing. Hence an important part of the prescription of a homeopathic medicine is a lengthy interview to determine all the symptoms the patient is experiencing. The homeopathic physician then determines which medicine best matches the symptoms the patient is experiencing and prescribes it. The principle of the single remedy states that a single medicine should cover all the symptoms the patient is experiencing: mental, emotional, and physical. A classical homeopath would not prescribe one medicine for a headache and another for an upset stomach; he or she would find a single medicine that covered both symptoms. The principle of the minimum dose has two parts. First the homeopathic physician only prescribes a small number of doses of the homeopathic medicine and waits to see what effect the medicine has. Second, the medicine is given in an infinitesimal dose.


Homeopaths have discovered that the effect of homeopathic medicines is strengthened upon successive dilutions as long as the medicine is succussed (shaken) between each dilution. Medicines are typically used in very high dilutions such as 30C (1 part in 10^-60) or 200C (1 part in 10^-400).

In modern homeopathy, combinations of several homeopathic substances, together with some herbal remedies, are often used as mixtures, which is called “complex homeopathy,” and has been developed in Germany over the past 150 years. There is also the isopathic approaches (ISO = same), in which case the causative factor of the illness is diluted in the same way as homeopathic medicines and is then given as a medication. One example of this is giving potentized pollens for the treatment of hay fever.

Potentization makes the diluted, inert substance active by releasing its energy. According to Hahnemann: “Homeopathic potentizations are processes by which the medicinal properties of drugs, which are in a latent state in the crude substance, are excited and enabled to act spiritually upon the vital forces.” Simple dilution of a drug is insufficient to produce a cure. To achieve potentization, after each successive 1-to-9 (“D”) or 1-to-100 (“C”) dilution, the solution must be shaken vigorously (the process is known as “succussion”). In the case of a powdered substance, it must be vigorously ground up (trituration). Potentization purports to liberate the energy of the substance being used for treatment and this liberated energy remains, even in the lowest doses.

A plant substance, for example, is mixed in alcohol to obtain a tincture. One drop of the tincture is mixed with 99 drops of alcohol (to achieve a ratio of 1:100) and the mixture is strongly shaken. This shaking process is known as succussion. The final bottle is labeled as “1C.” One drop of this 1C is then mixed with 100 drops of alcohol and the process is repeated to make a 2C. By the time the 3C is reached, the dilution is 1 part in 1 million! Small globules made from sugar are then saturated with the liquid dilution. These globules constitute the homeopathic medicine.

Although such infinitesimal quantities are considered by some to be no more than placebos, the clinical experience of homeopathy shows that the infinitesimal dose is effective: it works upon unconscious people and infants, and it even works on animals.

Quick Notes

  • One could say that a homeopathic remedy is a mirror, which shows you what is wrong with you.
  • When you are treating with homeopathy, give a remedy for the most advanced symptom first.
  • Throughout the world, homeopathy is used by physicians.

France, approximately 40% of physicians use classical homeopathy. Britain, over 40% of physicians use classical homeopathy. Germany, approximately 20% of physicians use homeopathy Holland, 45% use some homeopathy India, approximately hundreds of physicans use homeopathy and in addition, there are 115 medical schools and 100 hospitals.


There is a vast difference between homeopathic hormone rejuvenation and other hormonal creams that contain so-called natural bio-identical, synthetic hormones and/or herbs. You see, homeopathic hormone rejuvenation uses small micro-amounts of a hormone. There are no milligrams of the hormones present because the molecules are micro. The hormones used in preparing a homeopathic remedy aare usually taken from animals, not drugs. (Although one could make a homeopathic remedy from any substance including a drug.) The animals used are healthy bovine. Since homeopathy is made of poisons, toxins, insects and pathology – using animal sources are very common.


Homeopathy can not even be compared to a vaccination. Homeopathy remedies have even smaller amounts of the actual substance in it.

Samuel Hahnemann who lived from 1755 to 1843 founded homeopathy. He qualified in medicine at the University of Leipzig in 1791. He was born one year before Mozart, and was a contemporary of Goethe and Schiller. He also had a great talent for languages, mathematics, geometry, and botany. After qualifying in medicine he practiced for nine years, during which time he married. He became increasingly disillusioned by the cruel and ineffective medical treatments of his time such as bloodletting, purging, and poisonous drugs, particularly mercury-based drugs. He took the courageous decision to give up his practice, concentrating instead on study, research, writing, and medical translations. This meant that for many years Hahnemann, his wife, and his increasing number of children were extremely poor. One of the major works that Hahnemann translated was Dr. William Cullen’s A Treatise of Materia Medica. Cullen (1710-90) was an Edinburgh teacher, physician, and chemist, and his book included an essay on Peruvian bark or cinchona (which homeopaths call ‘china’) from which quinine, the treatment for malaria is derived. Cullen attributed cinchona’s ability to cure malaria, with its symptoms of periodic fever, sweating, and palpitations, to its bitterness. Hahnemann was skeptical of this and tested small doses on himself. He observed that cinchona produced in a healthy person the symptoms of malaria, the very disease it was known to cure. This discovery was to be of great importance in the development of homeopathic theory and practice. By observing the symptoms any substance produced when given to a healthy person, Hahnemann could discover the healing properties of that substance. Doctors had long grappled with this problem and the doctrine of “signatures,” which states that a plant will act on that part of the body which it most resembles in appearance (Rudolph Steiner was particularly keen on this idea and much of his medical approach is based on this idea). This doctrine was an attempt to understand the healing powers of natural remedies. Hahnemann had discovered an experimental method that would systematically yield accurate, specific information about the individual substances tested. This procedure was called “proving,” a sort of testing, which was applied to a large number of remedies. Hahnemann assembled a number of “provers”, who would take various substances and would record in great detail any symptoms occurring. Then the principle medically was to match the patient’s symptoms to a homeopathic drug picture, and give that drug in a very dilute, and “potentized” (see below) form. Clinically this seemed to work, and Hahnemann attracted an increasing number of doctors to his ideas.

What is Homeopathy

A German physician, Dr. Samuel Hahnemann in the late 18th century, developed homeopathy. It s principles, however, have been in use by other physicians for at least 2000 years. Hippocrates, the Greek Father of Medicine wrote in the 4th century B.C. “through the like, disease is produced, and through the application of the like, it is cured”.

In the 15th century, Paracelsus also used these principles in his medical practice. But it was Hahnemann who really developed this form of medicine into a science, popularizing the phrase “similia similibus currentur” meaning like is cured by like.

Homeopathy has a rich history of being practiced by people from all walks of Life. Medical Doctors, Dentists, Naturopaths, Veterinarians, Chiropractors, Osteopaths, Psychiatrists, Nurses and people from many other fields including have used the healing power of Samuel Hahnemann’s similimum to relieve suffering.

Much to the chagrin of the “Trained and Licensed Medical Professional”, many of the best practitioners throughout the history of Homeopathy have been Lay people. The advantage the lay person has over the medically trained person is simply that they don’t have to overcome the emphasis on the pharmacodynamics of the medicinal agents and the emphasis on disease etiology that the Medical Professional has had tattooed into their consciousness.

Homeopathy requires a different style of thinking that is often difficult to learn for someone trained to determine the etiology of a disease in the medical sense.

The Substances Homeopathic Remedies Are Made From

Homeopathic remedies are originally derived from the following substances.

  • Botanicals: herbs, roots and flowers.
  • Minerals and Mineral Substances
  • Animal Substances: (Venoms)
  • Electricity, x-ray, and magnetic fields
  • Hormones, drugs and poisons such as agent orange
  • Healthy tissue or secretions of the body and organ preparations
  • Bacteria, viruses and pathology. Using these substances in my practice has saved peoples’ lives. I cannot understate the importance of learning how to use them. If you have a grave illness with no known treatment, you can try homeopathy. Medical records show that diphtheria was cured in the 1800’s by using homeopathic remedies. There is a homeopathic remedy available for practically every disease.
  • Secretions or flakes taken from a person’s skin, urine, blood, saliva, and/or mucous are used to treat skin conditions such as psoriasis, acne, boils, ulcers or infections.

All homeopathic remedies should be made at FDA-registered homeopathic pharmacies and according to the simple procedure of dilution and succussion (vigorous shaking). Succussion is also known as dynamization or potentization. It may sound like succussion is complicated, but it simply involves shaking some energy into the dilution or remedy.

Homeopathic Remedy Preparation

Here are the steps that go into making a homeopathic remedy from scratch.

  1. A substance is dissolved in an alcohol/water solution called a tincture.
  2. Then one drop of the tincture is diluted into from 9 to 99 drops of alcohol/water solution.
  3. This solution is vigorously succussed (pounded & shaken). Succussion is performed on every homeopathic remedy; it imbues the water with kinetic energy, thereby increasing the remedy’s potency.
  4. One drop of this dilution is then added to from 9 to 99 drops of fresh alcohol/water.
  5. It is succussed again.
This procedure can be repeated, and with each dilution increasing the therapeutic effect and the potency.The potency of a remedy refers to the number of dilutions in any preparation, which has been dynamized using succussion. Although homeopathic potencies go from very low to very high, most beginners start with the X and C scale. Conventionally, remedies are made on scales of 1:10 dilutions and 1:100 dilutions. The 1:10 dilution scale is designed X, and the 1:100 scale is call C potency. A 12X potency means that the original tincture is diluted 1:10 a total of 12 times serially, with vigorous shaking in between. A 12 C means that the original tincture is serially diluted 1:100 a total of 12 times, also with successions between dilutions.

The number of “succussions” required for each dilution is not necessarily written in stone. In fact, some homeopathic physicians violently dispute the correct numbers almost as much as traditional doctors dispute the validity of homeopathy’s healing powers. 

Homeopathic remedies must be registered with the FDA. They have no known toxicity and are safe for all.

Find out more about Homeopathy

Fibonacci Homeopathic Medicine

The Wellness Center for Research & Education, Inc. ©Theresa Dale, PhD, CCN, NP May 13, 2010

Dr. Dales’ Fibonacci Sequence Homeopathic Formulas!

Dr. Theresa Dale has pioneered and announces the first homeopathic formulas, according to the Fibonacci Numerical Sequence.

Dr. Dale feels that Homeopathy has just taken a giant evolutionary leap forward thanks to the research of Joe Rozencwaig. Dr. Dale furthered this research through additional testing. Basically, her NeuroPhysical Testing revealed that Homeopathy made according to the Fibonacci sequence is a more effective therapy. Dr. Dale’s first remedies in the Fibonacci sequence are now available.

Reading “The Potency” Dr. Dale realized that Dr. Rozencwaig, NMD is absolutely correct in applying the Fibonacci sequence to his custom single potency treatment. Dr. Dale states; “Mr. Rozencwaig is a classical homeopath with excellent knowledge and amazing intuitive skills.” “After reading his book I became aware that the F Series of medicine is the most advanced form of treatment to-date. I then started testing F potencies and conducting extensive research on Fibonacci in nature and applying this to homeopathy.” Dr. Dale became aware of Fibonacci in Germany as she used sacred geometry and other nature-based healing modalities, including music therapy, for 30 years as part of her training in bio-photons and bio-resonance therapy.

All of the research was conducted with Mr. Rozencwaig’s patients and, of course, himself and the results of all were very promising indeed. “I found it interesting that Mr. Rozencwaig did all of the research the traditional homeopathic way; without hands-on testing such as Vega, EAV, EDS, NeuroPhysical Reprogramming or Clinical Kinesiology with patients.” Alternative testing is necessary in perfecting formulas and efficacy.

Dr. Dale tested this new homeopathic sequence on herself. “Once I discovered that this new method of preparation absolutely works, I continued testing to determine if the F potencies would work in combination with other Fibonacci prepared remedies. I discovered that it works the same way as traditionally prepared combination formulas only the formulas would be more powerful and effective and would not need to be repeated as often.”

Combination formulas work in a simple yet profound way; the body selects the potency and remedy it needs according to the similar frequency of disease in the body and does not utilize the rest. You see our body’s innate cellular intelligence selects the right remedy based on the fact that “like cures like”. One similar frequency is attracted to another similar frequency.

“During my training in Germany I learned magnetic field therapy using ultra-fine frequencies. These frequencies are delivered to the body via medical equipment that is safe and approved by the Germany government. The equipment generates thousands of frequencies in a wave swing called a “super setting” allowing all the frequencies produced by the device to be introduced to the body in one treatment via electrodes or inductors. This “super setting” was the most effective treatment as the body selected the most similar frequencies and did not use the rest. Therefore, due to my years of training and experience with various types of similar equipment and treating with homeopathy in both a classical and complex methods, I can absolutely assure you that the body will only pick out and use the similar frequencies needed from my new Fibonacci sequence formulas.”

“My testing continued under a microscope of right action to determine if combination Fibonacci sequence formulas are for the global good of humanity to deliver a more profound healing. Of course, the answer was positive otherwise I would not have formulated F series remedies. I look forward to learning your success with these formulas and be absolutely open to your comments.”

One of the most interesting benefits of treating with Dr. Dale’s Fibonacci series homeopathic medicine is that the full spectrum of the selected formula/remedy is allowed an opportunity to act just at the right time, at the right place and towards a total action of cure. The other benefit is they deliver a broad-spectrum approach to healing and contain drainage.

A little history about Homeopathy

In 1796, a German doctor, Samuel Hahnemann, discovered a different approach to cure the sick, which he called homeopathy (from the Greek words meaning ‘similar suffering’). Like Hippocrates two thousand years earlier, he realized there were two ways of treating ill health: the way of opposites, most commonly used by conventional medicine and the way of similars.

Hahnemann discovered that diluting and succussing (shaking) remedies, called potentisation, not only produced fewer side effects but also produced better results. Homeopathic remedies are drawn from the natural world and prescribed on the principle of treating “like with like” or the way of similars.

Who is Fibonacci?

In 1202 the Italian mathematician Leonardo of Pisa, aka Fibonacci, wrote Liber Abaci, a book having three claims to fame in financial circles. Firstly it was one of the first books to introduce the Arabic numbering system to the West. Secondly it laid out the foundations of modern bookkeeping. Thirdly it presented the number pattern known as the Fibonacci sequence, although this had been known long before by Indian mathematicians. Only the latter has little significance in the development of science and business but, naturally, it’s the one that’s received the most attention.

The Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 . . .) occurs throughout the worlds of nature, art, music, and mathematics! Each term in the series is produced by adding together the two previous terms, so that 1 + 1=2, 1 + 2=3, 2 + 3=5, and so on

Much more information is in Dr. Joe Rozencwaig’s book “The Potency” now available Here is a taste of this informative book from quotes from his article in 2009.

Fibonacci In Nature

The Fibonacci numbers are nature’s numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

Phyllotaxis is the study of the ordered position of leaves on a stem. The leaves on this plant are staggered in a spiral pattern to permit optimum exposure to sunlight. If we apply the Golden Ratio to a circle we can see how it is that this plant exhibits Fibonacci qualities. So, the arrangement of leaves on a stem, optimumizes exposure to sunlight, equates to the way our body absorbs frequencies, homeopathy, and also sunlight. When we use magnetic field therapy or homeopathy for example, great success happens when you give space to the treatments. This space allows integration of the healing frequencies.Plants do not know about this sequence – they just grow in the most efficient ways. Many plants show the Fibonacci numbers in the arrangement of the leaves around the stem. Some pine cones and fir cones also show the numbers, as do daisies and sunflowers. Sunflowers can contain the number 89, or even 144. Many other plants, such as succulents, also show the numbers. Some coniferous trees show these numbers in the bumps on their trunks. And palm trees show the numbers in the rings on their trunks.

Why do these arrangements occur? In case of leaf arrangement, or phyllotaxis, some of the cases may be related to maximizing the space for each leaf, or the average amount of light falling on each one. Even a tiny advantage would come to dominate, over many generations. In the case of close-packed leaves in cabbages and succulents the correct arrangement may be crucial for availability of space.

In the seeming randomness of the natural world, we can find many instances of mathematical order involving the Fibonacci numbers themselves and the closely related “Golden” elements.

Fibonacci in Living Form

As a piece of pure mathematics the sequence is unremarkable until you start digging around in the real world and find it appears regularly in nature. It can be found in many forms – in the arrangements of leaves around a stem, in the structure of sunflowers and pine cones and the shape of snail shells. The appearance of the golden ratio in nature has led many people to suspect that it embodies some kind of mystical significance. These people are idiots, of course, but idiocy has never been a bar to success in this world.

The true explanation for the presence of the Fibonacci sequence in nature was provided by D’Arcy Thompson back at the beginning of the twentieth century. In an age where evolution was accepted but the genetic code underlying it was not widely known Thompson was not alone in trying to find alternative explanations for natural selection. In the unique and beautifully writtenOn Growth and Form he showed how many of nature’s creatures were adaptations of simple geometry rather than difficult evolutionary changes.

Essentially, Thompson argued that there were a few geometric forms suitable to life on Earth and by changing the morphology of these you could explain the majority of physical animal shapes. As an example, he showed how changing a few physical parameters could generate the whole range of different crab shapes found in nature. On a similar note, he showed how the golden ratio is the best physical adaptation to the shape of snail shells.

The existence of Fibonacci sequences and the golden ratio in nature is therefore not the result of some divinely inspired meddling but the process of natural selection figuring out the best forms for survival. It so happens that Fibonacci numbers offer the most optimal form of growth or packing for certain creatures and that natural selection has, though its normal process of trial and error, figured this out. It’s not that the golden ratio is “out” there, it’s simply that nature finds an efficient way of managing its resources to best effect.

In Music

Mozart is considered one of the greatest composers known to the music world. He wrote some of the most beautiful piano concertos, within these pieces of music are where some say Mozart implemented the Fibonacci sequence. In the margins of the score for different music, Mozart jotted down mathematical equations. Although these equations may have been about odds of winning a local lottery, a love of math was still displayed.

The piano sonatas written by Mozart are divided into two distinct sections. The first section is the development and representation of the theme; the second section is a visitation of the theme in different variations. Since the first section is shorter than the first, the two sections can be seen as being developed by the golden section. For example, let’s take a look Sonata No. 1 in C Major. There are 100 measures in the first movement. The first section, with the theme, has 32 measures, and the last section, with theme variations, has 68 measures. This is a perfect division, using natural numbers, with the golden section. This format can also be seen in the second movement, respectively. Although there is no physical evidence that Mozart used the Fibonacci sequence in his music, it is still very easy to see the use of perfect divisions.

The Fibonacci sequence can also display the preference of the human ear to music. The following is some Fibonacci music. It consists of the first eight Fibonacci numbers. For each new number that is performed, the note length is decreased rotationally by 1/2 or 1/3. After four steps of the sequence are completed the tune starts over at the root, one octave up, while the other one continues, so there is an overlapping effect.

The basic structures of certain instruments display the use of Fibonacci numbers and the Golden section. The most widely used instrument in music, the piano, displays the use of Fibonacci numbers. For instance, there are 13 notes that separate each octave of 8 notes in a scale. The foundation of a scale is based around the 3rd and the 5th tones. Both pitches are whole tones, which are 2 steps from the 1st note of the scale, also called the root.

The keys of a piano also portray the Fibonacci numbers. Within the scale consisting of 13 keys, 8 of them are white, 5 are black, which are split into groups of 3 and 2. Look familiar? Well, it should, it’s Fibonacci!

Not only the piano, but also the violin is constructed through the use of the golden section. Check out the link for the information:

In Mathematics

The Fibonacci sequence is that that which starts with 0 and 1 and proceeds by adding the previous two numbers in the sequence to create the next one. So you get: 0.1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, etc, etc. Divide any Fibonacci number by the one below it and, as you get higher up the sequence, you get closer and closer approximations to the so-called golden ratio of 1:1.618.

By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two. Some sources omit the initial 0, instead beginning the sequence with two 1s.

In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation F_n = F_{n-1} + F_{n-2},\!\, with seed values F_0 = 0 \quad\text{and}\quad F_1 = 1.


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