Swastika: Encyclopedia II - Swastika - Geometry and symbolism

Swastika - Geometry and symbolism

Geometrically, the swastika can be regarded as an irregular icosagon or 20-sided polygon. The arms are of varying width and are often rectilinear (but need not be). However, the proportions of the Nazi swastika were fixed: they were based on a 5x5 grid.^[7]

Characteristic is the 90° rotational symmetry (that is, the symmetry of the cyclic group C_4h) and chirality, hence the absence of reflectional symmetry, and the existence of two versions which are each other's mirror image.

The mirror-image forms are often described as:

• left-facing and, as depicted across, right-facing;
• left-hand and right-hand;
• clockwise and counterclockwise.

"Left-facing" and "right-facing" are used mostly consistently. Looking at an upright swastika, the upper arm clearly faces towards the viewer's left (卍) or right (卐). The other two descriptions are ambiguous as it is unclear if they refer to the direction of the bend in each arm or to the implied rotation of the symbol. If the latter, whether the arms lead or trail remains unclear. The terms are used inconsistently (sometimes even by the same writer) which is confusing and may obfuscate an important point, that the rotation of the swastika may have symbolic relevance.

Nazi ensigns had a through and through image, so each version was present on one side, but the Nazi flag on land was right-facing on both sides ([8], at the bottom).

The swastika is, after the simple equilateral cross (the "Greek cross"), the next most commonly found version of the cross.

Seen as a cross, the four lines emanating from the center point to the four cardinal directions. The most common association is with the Sun. Other proposed correspondences are to the visible rotation of the night sky in the Northern Hemisphere around Polaris.

Swastika - Sauwastika

See main article: Sauwastika

The name sauwastika is sometimes given for the supposedly "evil", left-facing, form of the swastika (卍). A common myth is that the left-facing swastika is generally regarded as evil in Hindu tradition. This is because the much more common form in India is the right-facing swastika. Indians of all faiths sometimes use the symbol in both orientations - mostly for symmetry. Buddhists (outside India) generally use the left-facing swastika over the right-facing swastika although, again, both can be used. Despite this, the misconception that the left-facing swastika is evil is widespread, even among some contemorary Indian communities.

Some contemporary writers — Servando González, for example — confuse matters even further by asserting that the right-facing swastika, used by the Nazis is in fact the "evil" sauwastika.^[9] (González "proves" that the left-facing swastika is the sunwise one with reference to a 1930's box of Standard fireworks from Sivakasi, India.) This inversion – whether intentional or not – might derive from a desire to prove that the Nazi's use of the right-handed swastika was expressive of their "evil" intent. (See also Taboo in Western countries.) But the notion that Adolf Hitler deliberately inverted the "good left-facing" swastika is wholly unsupported by any historical evidence.^[10]

Adapted from the Wikipedia article "Geometry and symbolism", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki