Enneagram | |
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Enneagrams shown as sequential stellations |
In geometry, an enneagram is a nine-pointed geometric figure. It is sometimes called a nonagram.
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A regular enneagram (a nine-sided star polygon) is constructed using the same points as the regular enneagon but connected in fixed steps. It has two forms, represented by a Schläfli symbol as {9/2} and {9/4}, connecting every second and every fourth points respectively.
There is also a star figure, {9/3} or 3{3}, made from the regular enneagon points but connected as a compound of three equilateral triangles.[1][2] (If the triangles are alternately interlaced, this results in a Brunnian link.) This star figure is sometimes known as the star of Goliath, after {6/2} or 2{3}, the star of David.[3]
This geometrical figure should not be confused with the logic puzzles called nonograms.
Complete graph K9 |
Enneagon {9/1} |
Star polygon {9/2} |
Star figure 3{3} |
Star polygon {9/4} |
The final stellation of the icosahedron has 2-isogonal enneagram faces. It is a 9/4 wound star polyhedron, but the vertices are not equally spaced. |
The Enneagram of Personality and the Fourth Way teachings use an irregular enneagram consisting of a triangle and an irregular hexagram. |
The Bahá'í nine-pointed star |
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