Examining the relationship between the number 1, the golden ratio 1 : φ and a pentagon

1. Golden Mean and the pentagon _ Stonemasonry technical skills at SkillsTech Australia

3. Step 1: Draw vertical and horizontal centerlines at page centre right, intersecting at point A

4. Step 2: Construct a circle centred at A with radius 1 [1 x 100mm]

5. Step 3: Construct a double square with side 1 [1 x 100mm]

6. Step 4: Join the diagonal of the double square from top right to bottom left, intersecting the horizontal line at point B

7. Step 5: Centre compasses at point B and with radius BC = scribe semicircular arc BDE

8. Step 6: Centre compasses at point C and with radius CE scribe an arc to intersect the circle at point F

9. Step 7: Step off CF around the circle and join the points to form a pentagon

10. Step 8: Construct the Golden Rectangle AC : AD = 1: so that (a+b) : a = a : b