Pattern Creation

1. Draw circles with the center ranging over a fixed circle and passing through a fixed point of that circle.
   
   
   The number of circles can be adjusted. (Display-Preferences-More)

2. Construct circles with the center ranging over a fixed circle and tangent to a fixed diameter of that circle.
   
   

3. Draw line segments of the same length whose endpoints lying on two fixed perpendicular lines.
   
   

4. Apply ``rotation'' to construct the velocity vector field along a circle.
   
   

5. Construct the creases formed by folding a fixed point over upon a fixed straight line.
   
   

6. Construct the creases formed by folding a fixed point over upon a fixed circle.
   
   
   
   
   
   

7. Construct this pattern:
   
   

8. Construct this pattern; the center of each circle lies on an equilateral triangle.
   
   

9. In the pattern below, the center of each circle lies on:
   
   Construct this pattern.
   
   

10. In this pattern, the circles envelope a straight line and a parabola. How is it constructed?
    
    

11. Construct circles passing through a fixed point and tangent to a fixed circle.
    
    

12. Construct circles common tangent to two fixed circles.
    
    
    
    
    
    

13. For points on the unit circle, construct the line segment joining with Do the same for same for the line segment joining with Find the interesting pattern formed by straight lines joining with
    
    

14. If the light source is at infinity, the parallel light rays are reflected on a semi-circle. Draw the reflected rays. Do the same if the light source is located on the circle.