Vyoma is from the Sanskrit व्योम (Vyoma — sky, space, atmosphere). Vyoma is one of the Sanskrit feminine + unisex names — central to traditional Hindu Vedic heritage. Sanskrit feminine name reflecting Hindu cosmological heritage.
Vyoma does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Vyoma reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.