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 Square
Further exploration could examine, for example, the area of the bloated square relative to the generating square.
Create your own Bloated Square. Click HERE for 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 . . .
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