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Star Polygons · 2D

Unicursal Hexagram

Six points in one unbroken line

Unicursal Hexagram, drawn as a glowing line figure

A six-pointed star that can be drawn without lifting the pen. The hexagram needs two separate triangles; this one threads all six points in a single loop, crossing its own centre twice.

Points
6
Strokes
1
Through the centre
2

Open in SacredForm

Watch it drawn with compass and straightedge, hear the chord of its lines, and turn the Dimension dial to tilt it into space.

Facts

  • The ordinary hexagram {6/2} is two triangles: no single line can draw it.
  • Here the top and bottom points keep their triangles, and the side points are joined straight through the centre.
  • Every point is met exactly twice, so the path closes on itself: it is an Euler circuit of its six points.
  • Toggle the classic hexagram to see how the two differ.

History and meaning

An early version appears in a work of Giordano Bruno’s from 1588. Aleister Crowley took it up in the early 20th century, and it became the emblem of Thelema, usually drawn with a five-petalled rose at its heart.

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