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The Vedic Square

The digital roots of the times-tables fold into a 9×9 grid of striking symmetry.

Worked demonstration

In the Vedic Square — a 9×9 grid of the digital roots of the times-tables — what single digit sits where row 2 meets column 2? (Work out 2 × 2, then keep adding its digits until one digit remains.)

Try it yourself

Why it works

Each cell is the digital root (value mod 9, with 9 for multiples of 9) of row × column, producing repeating, mirror-symmetric patterns.

Background & Explore Further

The Vedic Square comes from the 20th-century Vedic Mathematics system (named after — not drawn from — the Vedas). The patterns are ordinary mod-9 arithmetic; explore how digital roots also power 'casting out nines'.

Explore: Vedic Mathematics (20th c.)

The Vedic Square — Math Magic Trick of the Day | HelloBanaras