blog.x-e.ro / wedding ring tattoo : the unicursal hexagram

wedding ring tattoo

life :: the unicursal hexagram

unicursal hexagram wedding tattoo

i've always wanted knuckle tattoos. in my youth i thought of being like OZZY and getting XERO. i considered CODE/HACK as a modern day spoof on the ago old classic GOOD/EVIL. but more than anything, i struggled over typography.

when i first got married, like most, i wore a wedding ring. mine was made of black hematite. but typing for a living made it so uncomfortable to wear i had to stop. even though nina assured me it was fine, i always felt bad not publicly displaying our love and commitment to one another. so i struck out on a quest to find a symbol i felt represented it.

the unicursal hexagram is a six-pointed star that can be traced or drawn unicursally, in one continuous line rather than by two overlaid triangles. in projective geometry, pascal's theorem (aka hexagrammum mysticum, latin for mystical hexagram) states that if six arbitrary points are chosen on a conic (which may be an ellipse, parabola or hyperbola in an appropriate affine plane) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon (extended if necessary) meet at three points which lie on a straight line, called the pascal line of the hexagon, named after blaise pascal. the theorem is also valid in the euclidean plane, but the statement needs to be adjusted to deal with the special cases when opposite sides are parallel. [more]

wikipedia
unicursal hexagram tutorial

in mathematical knot theory, 74 is the name of a 7-crossing knot which can be visually depicted in a highly-symmetric form. the simplest interlaced version of the buddhist endless knot symbol is topologically equivalent to the interlaced version of the unicursal hexagram of occultism. however, the endless knot symbol has more complex forms not equivalent to 74, and both the endless knot and unicursal hexagram can appear in non-interlaced versions, in which case they are not knots at all.

endless knot examples

the 74 knot is a lissajous knot, representable by the parametric equation:

x = cos(2t + 0.22)
y = cos(3t + 1.1)
z = cos(7t)

sacred geometry texts describe the perfectly symmetrical, mirrored interlocking triangles as symbols of the union of masculine and feminine, earth and sky, joined together harmony. an infinite recursive star, the perfect mathematical representation of our love.

so when my buddy josh "pimp hand" hayward was back in town, i sat down in the chair w/ him at jester's court tattoo in the southside to make it permanent.

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