Connected

Pronunciation: /kəˈnɛk tɪd/ Explain

A geometric figure is connected if it is all in one piece. The mathematically exact definition of connected is:

Definition: A geometric figure is connected if and only if, for any two points in the figure, a path exists between the points that does not leave the figure. If a figure is not connected, it is disconnected.

The digit 8.
Figure 1: 8 is a connected figure

Consider a figure 8. One can select any point and follow a path to any other point, even on the other side of the 8. A figure 8 is a connected geometric figure.

Now consider the letter 'i' as a geometric figure. Select a point on the dot above the i. There is no path to the main part of the i that does not leave the dot. The letter 'i' is a disconnected figure.

The letter i.
Figure 2: i is a disconnected figure

Cite this article as:

McAdams, David E. Connected. 6/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/connected.html.

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Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)

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