Spreadsheets and Graphing

Finding minimum surface area of a cylindrical can with fixed volume

minimum surface area

Draw circle from sin and cos values in spreadsheet

circle from sin and cos

From circle to spiral: modify plot of sin and cos values

circle to spiral

More geometric patterns from sin and cos values

dot patterns

Plotting cosine graph and transform

Cosine Transform

See how the cos wave seems to move to the left. If you focus on each dot, they are simply moving up and down. Each dot is repeating movement of another on its right, but remaining on the same horizontal position. That's how the over all pattern seems to move in the opposite direction.