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By Phil Todd
Pattern drawing toy
A toy based on a geared 5 bar linkage consists of a turntable on which you can put a paper disk.  Two gears are attached to the turntable and a pair of rods attached to the gears.  As you turn the turntable, the smaller gears turn which makes the rods travel.  A pen attached to the rods traces out a pattern You can drag the big circle and watch the pattern be traced.  You can also drag one of the gears to alter their relative location. You can change the length of the bars.

Tags: spirograph, linkage, toy, locus

By Phil Todd
Maximum Sum of Squares
Drag points A B and C on the curve, and try and make the sum of squares as large as possible. When you have made the number as big as you can, click Show to see the normals to the curve at A, B and C as well as the midpoints of the triangle. Can you improve your value by dragging the points so that the normals pass through the midpoints?

Tags: triangle, maximum, curve

By Phil Todd
trapezoid field
How big a circle can you fit into this piece of field? The next release of Geometry Expression will support export of pictures in HTML5 apps!!

Tags: central-pivot-irrigation, trapezoid, circle

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