Point in a circle
What do you notice? [ignore rounding error in the sum of the areas]
Any conjecture(s) ? Proof(s) ?
Can the diagonals of the four squares form a quadrilateral? If yes, does the order of the colored diagonals matter? Why or why not?
Under what circumstances can the diagonals of the four squares not form a quadrilateral?
Can you envision a 'point in a sphere' determining 8 cubes ?
Can you imagine a possible relationship between the sum of the volumes of the cubes and the volume of the sphere ?
How about a point in a 4D sphere?
What questions could / would you put to your students based on this applet ?
This applet was inspired by Juan Carlos Ponce Campuzano