According to Monier-Williams, a majority of scholars consider it a solar symbol, and in the ancient Indian texts the base swasti is equivalent to "may it be well with thee! The compact swastika can be seen as a chiral irregular icosagon (20-sided polygon) with fourfold (90°) rotational symmetry.
Such a swastika proportioned on a 5 × 5 square grid and with the broken portions of its legs shortened by one unit can tile the plane by translation alone.
The Nazi Hakenkreuz used a 5 × 5 diagonal grid, but with the legs unshortened.
The swastika is a repeating design, said to have been created by the edges of the reeds in a square basket-weave.
Investigators have also found seals with "mature and geometrically ordered" swatiskas which date from prior to the Indus Valley Civilisation (3300–1300 BCE).