Apparently the star of David, the pentegram and the inverted pentagram are three different symbols...
This is the star of David.
The Star of David (also called the Magen David, shield of David) is the symbol most commonly associated with Judaism today. The standard name for the geometric shape is a hexagram or six pointed star, usually composed of two interlocking equilateral triangles. Unlike the menora, the Lion of Judah, the shofar (ram's horn) or the lulav (palm frond), the Star of David is a relatively new Jewish symbol.
Concerning the pentagram. The pentagram below is the traditional pentagram with the five points of the star, one up, two down enclosed inside a circle. This style of pentagram has existed for countless thousands of years, first dating back to around 3500 B.C. At this time it was used by Mesopotamian rulers as a symbol indicating that their power encompassed the four corners of the known world.
To the Hebrews the five points of the pentagram were tied to the Pentateuch (the first five books of the bible) and represented as a whole the concept of truth.
Perhaps most curious is the pentagram as it relates to early Christianity. Constantine the Roman Emperor who converted to Christianity chose to use the pentagram on his seal and amulet. Up until medieval times, the five points of the pentagram represented the five wounds of Christ on the Cross. During these times the pentagram carried no evil implications at all and in fact, in a lesser way than the cross, was symbolic of the Savior.
In the nineteenth century. Eliphas Lévi, an Occultist, was the first to adapt the inverted pentagram as symbolic of evil. The illustration to the right shows Lévi's two sketches of the pentagram. The first, his "good" orientation, featured the five points of a man within the points of the Pentagram. This is called the microcosmic man and represents the four elements, earth, wind, fire and water represented as the man's limbs with his head representing the spirit.
Next to the Microcosmic Man, he drew the inverted pentagram as the goat's head or Baphomet. In so doing, he formed for the first time, a differentiation between good and evil symbolized by the pentagram.
The Baphomet sigil or simply Baphomet has become the official symbol of The Church Of Satan, which was started by Anton Szandor La Vey in 1966. Satanists and pseudo-Satanists have used this sigil all over the world.
If you look closely you'll notice that the pentagram drawn on the walls of For Canning is the inverted pentagram...