A complex geometric diagram showing an equilateral triangle inside a hexagon, with several "knotted stars" around the perimeter, labeled with angles and variables.
The “knotted stars” follow the p6 pattern. In the highlighted right-angled left section of the initial triangle, a line segment b equal to one-quarter of the hypotenuse is drawn from the midpoint of the hypotenuse. Reflecting b across the hypotenuse yields b’. Perpendicular to this, we get c. The length of this line segment is determined by a line parallel to b’ passing through the center of the entire triangle. The red line is rotated twice by 120°. Rotating the equilateral triangle a total of six times by 60° results in a hexagon. If all the black lines are removed, the elements forming the knotted star become visible. The dashed hexagon provides the auxiliary lines for the hexagonal tiling (honeycomb). Mehr sehen
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