SWASTIKA: OLDEST FROM INDUS VALLEY CIVILISATION

The word swastika came from the Sanskrit word svastika, meaning any lucky or auspicious object, and in particular a mark made on persons and things to denote auspiciousness.

It is composed of su- meaning "good, well" and asti "to be". Suasti thus means "well-being." The suffix -ka either forms a diminutive or intensifies the verbal meaning, and suastika might thus be translated literally as "that which is associated with well-being," corresponding to "lucky charm" or "thing that is auspicious." The word in this sense is first used in the Harivamsa. The Ramayana does have the word, but in an unrelated sense of "one who utters words of eulogy".

The most traditional form of the swastika's symbolization in Hinduism is that the symbol represents the purusharthas: dharma (that which makes a human a human), artha (wealth), kama (desire), and moksha (liberation). All four are needed for a full life. However, two (artha and kama) are limited and can give only limited joy. They are the two closed arms of the swastika. The other two are unlimited and are the open arms of the swastika.

Geometrically, the swastika can be regarded as an irregular icosagon or 20-sided polygon. The proportions of the Nazi swastika were fixed based on a 5 × 5 diagonal grid.

Characteristic is the 90° rotational symmetry and chirality, hence the absence of reflectional symmetry, and the existence of two versions of swastikas that are each other's mirror image.
The mirror-image forms are often described as:

• clockwise and anti-clockwise;
• left-facing and right-facing;
• left-hand and right-hand.

"Left-facing" and "right-facing" are used mostly consistently referring to the upper arm of an upright swastika facing either to the viewer's left (卍) or right (卐). The other two descriptions are ambiguous as it is unclear whether they refer to the arms as leading or being dragged or whether their bending is viewed outward or inward. However, "clockwise" usually refers to the "right-facing" swastika. The terms are used inconsistently in modern times, which is confusing and may obfuscate an important point, that the rotation of the swastika may have symbolic relevance, although ancient vedic scripts describe the symbolic relevance of clock motion and counter clock motion. Less ambiguous terms might be "clockwise-pointing" and "counterclockwise-pointing."