making strange shapes from a circle and quadrilateral

Arthur Lee
Have some fun with the section formula (point of division). Use the slider to switch between a square and circle.
Click 'control' to display the original shapes. Drag the vertices to experiment with different starting quadrilateral.
'Pixar in a Box' has similar materials about modelling and 'weighted averages' -> see the page on Environment Modeling

These slides show more examples based on this applet.

How to make this file: