Geometry (Waldorf)

1. In the passage, Marta's grandmother says every building begins with ___. What does she mean?

2. Draw a circle using a compass. Make it as clean as you can — don't press too hard on the center point. Practice until you get one you're proud of.

3. Keep the same compass radius. Place the point on your circle's edge and draw a second circle. Shade the overlapping region. This is the vesica piscis.

4. The vesica piscis appears in Gothic cathedral windows, ancient coins, and religious art across many cultures. It is formed by two circles of ___ radius where each passes through the other's ___.

5. Starting from a single circle, place your compass point on the edge and draw a new circle. Move to where the new circle intersects the original and draw another. Continue around. How many circles fit around the original?

6. Complete the six-petaled flower pattern from problem 5. Shade alternating petals to create a design. This pattern appears in temples and churches across the world.

7. The six-petaled flower works because a circle's radius fits exactly ___ times around its circumference as a chord. This is connected to the ___ (shape) that fits inside a circle with vertices on the edge.

8. Draw a straight horizontal line. Mark a point in the center. Using your compass, draw a circle centered on that point. Now draw a vertical line through the same center point. You've created 4 equal sections. What are they called?

9. Marta's grandmother moved her hand across the paper "like she was remembering a dance." Form drawing is sometimes described the same way — as a kind of ___.

10. Why do you think so many ancient cultures independently discovered the six-petaled flower pattern? What is it about this shape that people find meaningful?