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Septagram Symbol Meaning

Recently, someone asked me to create some pendants of the septagram symbol. This piqued my interest. I became curious about the meaning behind the septagram symbol.

Keep in mind that some may refer to the septagram as a heptagram. You will find in all of the sections below that the septagram represents groups of seven. It often represents completeness or wholeness.

Biblical Meanings Associated With the Septagram

As you may already know, the number seven is used many times throughout the Bible. In most contexts the number seven represents completeness or wholeness. It can mean both physical or spiritual wholeness.

According to the Bible, God created the Universe in seven days. The seventh day was the Sabbath. Also, Isaiah 11:2-3 describes seven Gifts of the Spirit:

2 The Spirit of the Lord will rest on him—the Spirit of wisdom and of understanding, the Spirit of counsel and of might, Spirit of the knowledge and fear of the Lord—

3 and he will delight in the fear of the Lord.

The seven gifts are wisdom, understanding, counsel, might, knowledge, fear of the Lord and delight in the fear of the Lord.

Less pleasant to think about are the seven deadly sins. Those are lust, gluttony, greed, laziness, wrath, envy and pride. Some believe Revelations 16 says that seven plagues will herald the end times.

Septagram As An Occult Symbol

For centuries, astronomers knew of only seven other planets than Earth. They were called “wandering stars”. They were: Sun, Moon, Jupiter, Venus, Saturn, Mercury and Mars. The Sun and Moon occasionally were eclipsed. Also, the Moon would go through phases. The other five “wandering stars” were a lot more distant. All of the normal stars moved in a straight arc every night. The five “wandering stars” appeared in different places every night, and did not move in an even arc like the others. Their position relative to Earth changed as they went around the Sun. Because there were seven known planets, the number seven and the septagram became another symbol of the completeness of the Universe.

The names of the days of the week also come from these seven original planets.

Modern pagans adopted the septagram as their symbol. It is sometimes called the “Elven Star”.

Finally, some believe it represents seven directions – North, South, East, West, Above, Below, and Within.

Septagram As A Symbol of Alchemy

Before I read about this, I thought that Alchemy was about trying to convert common metals into valuable metals. The classic example is the attempt to turn lead into gold. That is known as physical alchemy. However, there is a belief that the same steps of Alchemy can apply to a spiritual transformation for a person, known as Spiritual Alchemy. This is by far the most interesting meaning to me.

The Seven Steps of Physical Alchemy

  1. Calcination – The alchemist burns the material to ashes. This breaks it down to a uniform state of decomposition.
  2. Dissolution – The alchemist dissolved the ashes in water in this step.
  3. Separation – The alchemist filtered the material and discarded any undesirable material.
  4. Conjunction – The alchemist combined the leftover materials into a new substance.
  5. Fermentation – The alchemist introduced yeast or bacteria to convert sugars to acids, gases or alcohol.
  6. Distillation – The alchemist boiled the solution to increase its’ purity and potency.
  7. Coagulation – The is the precipitate or sublimation to solid form of the purified result of distillation. This solid was called the philosopher’s stone. This was the legendary stone that could turn lead into gold.

The Seven Steps of Spiritual Alchemy

  1. Calcination – A person reaches a low point due to personal loss or suffering. This creates a need to undergo a spiritual transformation.
  2. Dissolution – The person breaks down internal barriers and reveals buried problems or burdens.
  3. Separation – The person discards problems and burdens and gets back to their true essences.
  4. Conjunction – The person recombines the essences into new belief system. For example, the person could combine masculine and feminine sides, or conscious and subconscious.
  5. Fermentation – The person goes through a process to become inspired. They could use prayer or meditation to achieve this.
  6. Distillation – The person goes through another cleansing process. The intent is to make sure no remnants of the problems or burdens are carried forward to the final stage.
  7. Coagulation – The individual unifies mind, spirit and body into a state of enlightenment.

I summarized these seven steps from these two sources:

Also, some call the process of alchemy Magnum Opus. There are four main stages. However, people often expand these to more stages, such as the seven described above.

Finally, alchemists chose seven metals, again based around the planets:

  • Gold = Sun
  • Silver = Moon
  • Copper = Venus
  • Iron = Mars
  • Tin = Jupiter
  • Mercury = Mercury
  • Lead = Saturn

Other Uses of the Septagram

Occasionally, heraldry uses the septagram symbol. Anything from flags to uniforms can use the septagram. One example is the Flag of Cherokee Nation. Coat of Arms, family crests, and other similar symbols sometimes use the septagram. A few police forces use a septagram shape for their badge. Some people researched why many police forces use stars as badges. It doesn’t sound like there was much reason behind it. The main reason so many chose a star as a police symbol was because it was simple and fairly easy to make.


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Meaning of the Pentagram Symbol

Pentagram Pendant
Pentagram Pendant Rendering

UPDATE 8/25/2016: I have corrected an error in this post. I was careless in saying that the Golden Ratio, Phi, came from the Fibonacci Series. The Golden Ratio is the solution to the equation (a+b)/b = a/b = Phi. The Fibonacci series is one series of numbers that converges on Phi. So they are two unrelated concepts that happen to converge on the same number. I regret the error.

I also added a caveat regarding confirmation bias to the section about how Phi is found in art and nature. Some of these claims are in dispute, but I still present them anyway as food for thought. I personally find some of them quite interesting, if nothing else.

Here is the original post from 11/24/2015 with the corrections:

I was recently asked to design a Pentagram pendant from someone who found me through my Shapeways shop. I have of course seen the Pentagram many times. I was aware that the Pentagram was often used as a symbol by the occult and Satanists. So I deliberately avoided doing any designs of it or even related to it before now. It’s really unfortunate that such groups have decided to use it (although they normally use one that is upside down, not right-side up). Regardless, I was very pleased to learn the relationship of the Pentragram to the Golden Ratio, which is seen throughout nature and in many works of art. Let’s take back this amazing symbol and use it for better purposes.

What is the Golden Ratio?

First of all, what is the Golden Ratio? The Golden Ratio is derived from solving the equation (a+b)/a = a/b. If you set the ratio a/b = Phi, the you get the equation 1 + (1/Phi) = Phi. When you solve this, you get Phi = (1 + √5)/2, which is 1.61803… Phi is another irrational number like Pi that goes on forever without a pattern.

The Fibonacci Series in mathematics also converges to Phi. It’s a remarkable coincidence that the two happen to converge on the same number even though they are not directly related. The Fibonacci series starts with either 0, 1 or 1, 1. The next number in the series is the sum of the previous two. So the first numbers in the series are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233…

You can see 0+1=1 and 1+1=2 and 1+2=3 and 2+3=5 all the way to 89+144=233 and so on.

As you go further and further out, the ratio of one number to the previous number starts to converge on Phi, which is 1.61803…For example, 233/144= 1.618055… It’s already starting to get pretty close. if you went further out in the series, you would get an even closer approximation of Phi.

In geometry a “Golden Rectangle” is one where the length divided by the height has the ratio of Phi.

There is also a “Golden Spiral” or “Fibonacci Spiral”. Take a Golden Rectangle and start dividing it into further Golden Rectangles. If you draw a spiral that follows the borders of these rectangles, then you get an approximation of a Fibonacci Sprial:

Golden Spiral
Golden Rectangle with Golden Spiral

How is the Pentagram Related to the Golden Ratio?

The Pentagram contains several dimensions that result in a Golden Ratio. This page has a great explanation of it. Here is another way of looking at it:


In this diagram, the length of each segment is related by the Golden Ratio:

a/b = Phi

b/c = Phi

c/d = Phi

The Golden Ratio Appears Throughout Nature and Art

First I will start this section with a disclaimer. Many of the examples below are disputed. The criticism is confirmation bias: when you start looking for the Golden Ratio, you start finding evidence of it everywhere. In fact, this phenomenon of finding the Golden Ratio everywhere has been hilariously mocked by the parody Twitter account Fibonacci Perfection. At the risk of being mocked, I still personally find some of these examples compelling and interesting enough to include in this blog post.

I read that the Taj Majal used the Golden Ratio in some of its’ proportions. I had to see for myself. I overlaid a picture I found that had a Golden Spiral with a series of Golden Rectangles on top of a picture of the Taj Majal. See for yourself:

Taj Mahal Golden Ratio
Taj Mahal Golden Ratio (click for larger)

To me, it sure appears that the distance between the pillars and outer edge of the dome follow the Golden Ratio. If you look closer there appear to be other distances that follow this ratio.

The Parthenon

Another example in architecture is the Parthenon, although that has been disputed.

Some people say that features in the human face follows the Golden Ratio, and so we may find objects or art that display the Golden Ratio to be pleasing. So even if the Greeks didn’t build the Parthenon to follow the Golden Ratio on purpose, maybe they designed it with similar dimensions because they thought it looked most appealing.

In nature, there are many examples. I already mentioned the human face. Other features such as the length of each segment of your fingers, starting at your wrist follow this ratio. This is a neat article with a lot of examples. One that I found kind of mind-blowing was that many species of flowers have a number of petals found in the Fibonacci Series.

3 petals – Lilies

5 petals – Trillium, Buttercups, Roses

8 petals – Delphinium, Bloodroot

13 petals – Marigolds, Black-Eyed Susans

21 petals – Shasta Daisy

34 petals – Field Daisies, Pyrethrum

The theory as to why so many features of plants would follow this ratio is that it has to do with the most efficient use of space. Plants have to efficiently use sunlight, so it would make sense that their leaves and other features would arrange to maximize their use of surface area.

More famously are the examples of the Golden Spiral in nature. The hurricane, spiral galaxy and Nautilus sea shells are all examples of things that are Golden Spirals, or very close.

Spiral Galaxy
Spiral Galaxy

So, what is the meaning of the Pentagram then?

The Pentagram has a direct relationship with the Golden Ratio, and the Golden Ratio has a relationship with so many things found in nature. So to me, the Pentagram symbolizes this relationship between math and nature. No one knows why this symmetry exists in nature or why so many natural phenomenon would follow the Golden Ratio. The Pentagram also symbolizes this mystery. It’s an acknowledgment that there are forces at work which we don’t fully understand but can appreciate.