History and Meaning of the Swastika (Part I)

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The earliest known use of the word swastika is in Panini's Ashtadhyayi which uses it to explain one of the Sanskrit grammar rules, in the context of a type of identifying mark on a cow's ear. Most scholarship suggests that Panini lived in or before the 4th-century BCE, possibly in 6th or 5th century BCE.

Other names for the symbol include:

· tetragammadion (Greek: τετραγαμμάδιον) or cross gammadion (Latin: crux gammata; French: croix gammée), as each arm resembles the Greek letter Γ (gamma)

· hooked cross (German: Hakenkreuz), angled cross (Winkelkreuz), or crooked cross (Krummkreuz)

· cross cramponned, cramponnée, or cramponny in heraldry, as each arm resembles a crampon or angle-iron (German: Winkelmaßkreuz)

· fylfot, chiefly in heraldry and architecture

· tetraskelion (Greek: τετρασκέλιον), literally meaning 'four-legged', especially when composed of four conjoined legs (compare triskelion/triskele [Greek: τρισκέλιον])

· whirling logs (Navajo, Native American): can denote abundance, prosperity, healing, and luck[31]

Appearance

Left: the left-facing sauwastika is a sacred symbol in the Bon and Mahayana Buddhist traditions. Right: the right-facing swastika appears commonly in Hinduism, Jainism and Sri Lankan Buddhism.

All swastikas are bent crosses based on a chiral symmetry – but they appear with different geometric details: as compact crosses with short legs, as crosses with large arms and as motifs in a pattern of unbroken lines. One distinct representation of a swastika, as a double swastika or swastika made of squares, appears in a Nepalese silver mohar coin of 1685, kingdom of Patan (NS 805) KM# 337.

Chirality describes an absence of reflective symmetry, with the existence of two versions that are mirror images of each other. The mirror-image forms are typically described as:

· left-facing (卍) and right-facing (卐);

· left-hand (卍) and right-hand (卐).

The left-facing version is distinguished in some traditions and languages as a distinct symbol from the right-facing and is called the "sauwastika".

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.

Varieties of swastikas

· Croix gammée

· Kruszwica's mursunsydän

· Broken sun cross

· Fylfot

· Tetraskelion

· Manji

· Battersea Shield Thames swastika

· Nazi Hakenkreuz

· Sauwastika

· Gammadion

· Cross cramponnée

· Lauburu

· Double-arm swastika

· Aztec swastika

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