Geometric Representation

Pronunciation: /ˌdʒi əˈmɛt rɪk ˌrɛp rɪ zɛnˈteɪ ʃən/ ?

A geometric representation is a representation that uses geometry to illustrate or clarify a mathematical truth.

2 rows and 3 columns of dots = 3 rows by two columns of dots
Figure 1: 2 rows and 3 columns of dots is the same number of dots as 3 rows by two columns of dots

A geometric representation allows us to visualize mathematical properties. This visualization makes it easier to understand and remember the property. One geometric representation you may be familiar with is the representation of multiplication using rows and columns of dots. In figure 1, the commutative property of multiplication is represented with 2·3 = 3·2.


  1. Meyers, et. all.. First Year Mathematics For Secondary Schools, pp 44-50. The University of Chicago Press, 1907. (Accessed: 2010-02-06).
  2. William Fulton, Joe Harris. Representation Theory: A First Course, corrected edition. Springer, October 22, 1991. (Accessed: 2010-02-06).

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Geometric Representation. 2010-02-06. All Math Words Encyclopedia. Life is a Story Problem LLC.


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Revision History

2010-02-06: Added "References" (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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