The word “swastika” comes from the Sanskrit word Svastika. The true meaning is given as

Su - means good,
asti - means “to be”,
ik – means “what is in existence, and will continue to exist “
a – denotes feminine gender

So, Swastika simply means 'let good-prevail' ( good means Auspicious ) and not to be destroyed and remains in a good condition. Its deeper meaning is permanent victory.

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In the context of the cultural origins of the swastika, this means the victory of dharma - the fundamental spiritual nature of humanity.

The word Swastika also denotes blessings for everyone.

For Hindus, the four limbs of the swastika denote

1. Four Vedas – Rig Veda, Sama Veda, Yajur Veda and Atharva Veda - Symbolizing auspiciousness

2. Four goals of life - Dharma (virtue), Artha (success), Kama (pleasure) and Moksha (release) - denoting prosperity in each area

3. Four stages of life – Brahmacharya(Student), Grihasta (Householder), Vanaprastha (Retired person) and Sanyasa (Ascetic) - signifying good fortune for each stage

4. Four directions – North, South, East and West - symbolizing the Divine omnipresence

5. Four seasons - Spring, Summer, Autumn and Winter - symbolizing the cyclic nature of time

6. Four Yugas (era) of the world-cycle - Satya Yuga, Treta Yuga, Dvapara Yuga and Kali Yuga - symbolizing the natural evolution of the universe

7. Four Varnas (social classes) – Brahmans (Priests, Teachers, and Intellectuals), Kshatriyas (Warriors, Police, and Administrators), Vaishyas (Farmers, Merchants, and Business People) and Shudras (Artisans and Workers) – symbolizing the progress and synergy among social classes

8. Four paths of Yoga – Jnana Yoga, Bhakti Yoga, Karma Yoga and Raja Yoga - - symbolizing union with the divine.

The Swastika (Sanskrit "good luck or well-being", literally "it is good") is a symbol which commonly appears throughout history. BUT, the name and first use of the swastika was first mentioned in the Vedas, the holy texts of Hinduism.

The swastika symbol is also known in these contexts by a number of names including fylfot (in English) and gammadion (in Greece). But the Sanskrit definition and usage seemed to be the first of its kind.

The symbol of the swastika was an Indian [Indus valley] symbol long before the European (Greek or Roman) could draw a wheel. The Icelandic version is the hammer of Thor. Thor is a knockoff of Egyptian Gods.

Another way of interpreting the word Swastika is this:

‘As per Sanskrit grammar the words Su and Asati when amalgamated into one word become Swasti (as in the case of Su and Aaatam becoming Swagatam meaning welcome).

If this derivation of the word Swastika were true, then the literal meaning of the term Swastika would be 'let good-prevail'. (Meaning let auspicious prevail)

The Word swastika can be related to Egypt:
The Swastika in Sanskrit means 'so be it' or Amen which is the same phrase Christianity unknowingly in reference to the hidden EGYPTIAN Deity AMEN or AMUN. Christianity is the fake step sister through Catholicism to the Egyptian Mystery System.

Swastika is a compound of su -- a particle meaning 'auspicious,' 'blessed,' 'virtuous,' 'beautiful,' and 'rightly'; and astika derived from the verb-root as -- to be; hence 'that which is blessed and excellent.'

The Swastika is a very archaic and sacred symbol which can be found in the religious relics of every ancient nation.

source: various sites