HISTORICAL · FOUR DECIMAL QUADRANTS

Cistercian

Marks in four quadrants combine units, tens, hundreds, and thousands in one sign.

Convert numbers
Place
Medieval European monasteries
Period / variant
13th–16th centuries
EXAMPLES

2026 · Four decimal quadrants

A mark at the upper right of the staff.

Worked example

Write 2026 in Cistercian

Build one numeral on a shared vertical staff. Each corner supplies a different decimal place.

  1. The lower left corner is the thousands place. Its digit-2 strokes contribute 2 × 1,000 = 2,000. Add these strokes to the shared staff.

  2. The upper left corner is the tens place. Its digit-2 strokes contribute 2 × 10 = 20. Add these strokes to the shared staff.

  3. The upper right corner is the ones place. Its digit-6 strokes contribute 6. Add these strokes to the shared staff.

  4. Leave lower right (hundreds) without digit strokes. Each empty corner contributes zero.

Check

2 × 1,000 + 2 × 10 + 6 = 2,026

Sources and notation notes

David A. King — The Ciphers of the Monks (2001)

Meet the symbols

Start with the central staff. These are the nine shapes in each of its four corners. To make a number, combine the needed corners on the same staff.

  • 1 · upper right
  • 2 · upper right
  • 3 · upper right
  • 4 · upper right
  • 5 · upper right
  • 6 · upper right
  • 7 · upper right
  • 8 · upper right
  • 9 · upper right
  • 10 · upper left
  • 20 · upper left
  • 30 · upper left
  • 40 · upper left
  • 50 · upper left
  • 60 · upper left
  • 70 · upper left
  • 80 · upper left
  • 90 · upper left
  • 100 · lower right
  • 200 · lower right
  • 300 · lower right
  • 400 · lower right
  • 500 · lower right
  • 600 · lower right
  • 700 · lower right
  • 800 · lower right
  • 900 · lower right
  • 1,000 · lower left
  • 2,000 · lower left
  • 3,000 · lower left
  • 4,000 · lower left
  • 5,000 · lower left
  • 6,000 · lower left
  • 7,000 · lower left
  • 8,000 · lower left
  • 9,000 · lower left

How the symbols fit together

One sign holds up to four digits around a central upright line. Read each corner separately.

  1. Locate the four places: upper right = ones, upper left = tens, lower right = hundreds, lower left = thousands.
  2. For 42, read the digit shape at the upper left as 4. Because it sits in the tens corner, it contributes 40.
  3. Read the digit shape at the upper right as 2. In the ones corner, it contributes 2.
  4. Add the corners: 40 + 2 = 42. The lower corners have no digit strokes, so there are no hundreds or thousands to add.

1 in Cistercian

A mark at the upper right of the staff.

42 in Cistercian

Four tens at upper left and two units at upper right.

9999 in Cistercian

Nine in each of the four quadrants.

This is one documented family of variants, not a uniform standard used by every monastery. The whole number zero is not supplied. These signs were primarily notation, rather than a historical algorithm for arithmetic.

History

Medieval monastic number ciphers combine marks around a common staff. Surviving examples occur in manuscripts and on instruments, with considerable regional variation. Historian David A. King documented these traditions in The Ciphers of the Monks. The familiar vertical-staff arrangement is the variant used here.

How to read it

One sign holds up to four digits around a central upright line. Read each corner separately.

  1. Locate the four places: upper right = ones, upper left = tens, lower right = hundreds, lower left = thousands.
  2. For 42, read the digit shape at the upper left as 4. Because it sits in the tens corner, it contributes 40.
  3. Read the digit shape at the upper right as 2. In the ones corner, it contributes 2.
  4. Add the corners: 40 + 2 = 42. The lower corners have no digit strokes, so there are no hundreds or thousands to add.

Limits

This is one documented family of variants, not a uniform standard used by every monastery. The whole number zero is not supplied. These signs were primarily notation, rather than a historical algorithm for arithmetic.

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