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Sunday
Apr302017

Two Shapes that make everything

In geometry, two shapes make everything else.

The Line:
A straight path between two points.
The Arc:
A curve produced from a circular center which connects two points.

Armed with these two ways to draw connections between points, we can describe everything. Lines make up all the linear paths such as polygons. Arcs make all the curves to produce circles, waves, ellipses and other paths which are non-linear.

I discovered a long time ago, that there is a specific shape I can draw using only a compass, that will allow me to derive everything else. This journal will describe as many of those as I can over time, and discuss how I can find any description of anything that can be drawn, or even heard.