## Some Seemingly Mathematical Recreations

## Number Man

Can you do this picture of Math E. Matics? Freehand, numbers only.

Practice a few times and you may even be able to imagine some expressions. This one looks serious and professorial. Try for an impression of a challenged student!

## Pac-Man

Is anyone old enough to remember Pac-Man? Think about how to produce this one.

Graphing Calculator 4.0 was used to do this version. Other tools will work.

We began with a circle of radius 7 centered at (0,0). The eye was a circle of radius 1 centered at (2,5). ETC.

## Valentine

Begin with an equation for an ellipse: . Change the equation to: ?

Explain the result.

Paste the image of the heart into a GSP file and add the Arrow.

The result may be a Valentine.

## Bloated Polygons

Consider a square with a quarter circle inscribed from each corner:

In the center, the Figure bordered by the four arc is a

Boated SquareFurther exploration could examine, for example, the area of the bloated square relative to the generating square.

Create your own Bloated Square. Click

HEREfor one GSP file to create a bloated square. (You may be able to find an alternative.)Explore other bloated quadrilaterals where the generating quadrilateral is NOT a square.

The Bloated Triangle generated from an equilateral triangle has larger area than the generating triangle:

LOOK UP WANKEL ENGINE

GSP files to explore Bloated (or collapsed) polygons

Variable Equilateral Triangle.GSP

Variable Regular Pentagons.GSP

Why doesn't this one produce a bloated regular octagon? What needs to be changed?

Maybe more to be added . . .

Return