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The Vitruvian Man Method

A fixed body motion for the bridge method, so that a lapse in the middle of a calculation has an obvious place to restart from.

9 min readLevel ★★Prerequisite: bridge method

1. Why you need it

The bridge method is fast but it has three columns, and under exam pressure the failure mode is not a wrong digit — it is forgetting which column you were on. The Vitruvian Man method turns the three columns into three physical positions: right arm (last × last), both arms crossing (the cross terms), left arm (first × first). Same arithmetic, but the sequence is anchored to the body, so restarting costs nothing.

Fixed path: 23 × 41

Right arm: 3 × 1 = 3 → write 3. Two arms crossing: 2 × 1 + 3 × 4 = 2 + 12 = 14 → write 4, carry 1. Left arm: 2 × 4 = 8, plus carry = 9. Answer 943.

2. The finger walk

  1. Touch the right-hand pair of digits, say the product out loud, write it down.
  2. Cross both hands over the middle: add the two cross products, resolve the carry.
  3. Touch the left-hand pair, add any carry, write the leading digits.
  4. If you lose the thread, do not recompute — repeat the last position you can name and continue from there.

After a week of practice, all three columns happen without the hand movements; the movement is scaffolding, not the method.

3. Practice

  1. 23 × 41 with the three positions
  2. 34 × 21
  3. 42 × 13
  4. 31 × 14
  5. Invent three of your own and compute them with the fixed path only
Answers
1) 943.   2) 714 (4×1 = 4; 3×1 + 4×2 = 11 → 1 carry 1; 3×2 + 1 = 7).   3) 546 (2×3 = 6; 4×3 + 2×1 = 14 → 4 carry 1; 4×1 + 1 = 5).   4) 434.

Once the multiplier has three or more digits, switch to the UT method →

Previous lesson: The Bridge Method