Forget Schoolhouse Rock: three isn’t the magic number, seven is. Seven is one of the most widely recognized “lucky numbers”, and comes into play with a fair amount of things, both magical and mundane… for example:
7 colors in the rainbow
7 days of the week
7 deadly sins
7 distinct notes in diatonic musical scale
7 levels of heaven
7 major hindu chakras 
7 planes of existance 
7 planets in classical astrology 
7 tenets of faith 
…And so on and so forth. The list really does go on; the more research i do, the more i realize that this could wind up being a thesis instead of an essay. Several sources listed the same meaning for each of the seven points; as far as i can tell, there is no particular order to these points. They are as follows:
The Sun. For the fire element it represents, as well as for the life-sustaining light and heat that the sun provides. Without the sun, we could not exist; lack of sunlight has been proven to have a detrimental effect on people. In my experience, cats (rumored to have solar panels in their bellies) will often become sick, ill, or restless if deprived of sunlight for long periods of time. The sun has effects on us that we cannot even begin to understand. It nourishes life (photosynthesis in plants is a perfect example), and can destroy life (radiation, cancer, heat stroke, etc).
The Wood. Many elvenkin have a strong connection with trees, forests and woods. There is also the elemental symbolism of the element of wood. For eons, people have used wood for shelter, fire, decoration; a great deal of food grows on trees, providing humans and otherkin alike with nourishment.
The Sea. Needless to say, this carries along with the elemental theme, providing us with the element of water. Working with the moon, the sea ebbs and flows; Bruce Lee reminded us (along with many other Taoist Masters) to Be Like Water; water flows, nourishes life, causes death… it can float a ship or sink it, it can eventually wear down stone.
The Moon. The moon is considered by many to be the opposite of the sun; it is our nighttime companion. On dark nights, a full moon lights our paths; the moon’s coming and going affects the ebb and flow of the tides, and therefore, our weather patterns. Countless lunatics have been similarly inspired, with the ebbing and flowing of their sanities. There are many who would consider otherkin to be insane for our beliefs. Perhaps this is why so many of us identify strongly with the moon: it holds its secrets, works its magic, and affects us in more ways that we can possibly imagine. Just as life could not exist without the sun, life as we know it could not be as it is without the moon.
The Wind. The wind provides us with the element of air; wind is air in motion. The wind helps sustain the forests when it helps to spread the seeds of the trees, plants and flowers of the world. It helps keep birds and other flying creatures afloat; it is the largest affecting aspect in our weather.
Now, the previous five points can just as easily be attributed to the pentagram – the five pointed star. The next two points are what make the septagram different; these two are what make it the otherkin star.
The Magic. Where would we be without magic? Our bodies function on a cellular level in scientific precision… The stars themselves have their reasons for twinkling in the night skies… The sun and moon, the seas, the wood and the wind all exist and can in some way or another be scientifically explained… But what about Life? What causes Life? Some people believe that Life could not exist without a higher power most commonly referred to as God. While otherkin do not inherently have a disbelief in God, it is far more common to believe that Life has can only be explained by Magic. The spirit, the soul, the conscience, Awareness: these things cannot all be explained by science, leaving Magic to be at their roots.
The Connection. For most otherkin, this is the most important point of the septagram; it serves as a reminder for us to remember the connection we have between what we once were, what we are now, and what we always will be. Those of us that are not fortunate enough to remember what that is are still lucky enough to at least have a sense of the Connection, to feel the Pull towards like minds and souls of a similar nature. The connection is what brings us together. The Magic and the Connection work in harmony with each other, acting as cause and effect, yin and yang.
1 – the base chakra (Muladhara), the sacral chakra (Svadisthana), the solar plexus chakra (Manipura), the heart chakra (Anahata), the throat chakra (Vishuddi), the brow chakra (Ajna) and the crown chakra (Sahasrara).]
2 – There is a belief that the soul grows in stages within each incarnation; these stages are listed as follows: infant, baby, youth, mature, old, transcendental, & infinite.
3 – In classical astrology, the seven planets (the ones then known) correllated to the days of the week and the Roman or Norse gods that each one represented: Sunday – Sun, Monday – Moon, Tuesday – Tui (aka Mars), Wednesday – Woden (aka Mercury), Thursday – Thor (aka Jupiter), Friday – Frygga (aka Venus) and Saturday – Saturn.
4 – At least one tradition of Wicca has the following tenets of faith: balance, tolerance, trust, reincarnation, harmony, humility and learning.