February 2019’s topic of **The Galleseum** –**Acrylic Math’s FREE monthly art newsletter**– is about **Art and Greek Geometry. **And, this is the corresponding Blog Post.

### FREE Art Newsletter

The **FREE monthly art newsletter** -titled **The Galleseum**– features articles about art and math, geometric art, fractal art, tessellations, composition, value, color, art styles, famous artists, contemporary artists, and much more. The newsletter also features the latest artworks from **Acrylic Math**.

To subscribe to **The Galleseum**, please click the **Red Button** below and, then, enter your email:

### Blog Post

This Blog Post describes the relationship between art and Greek (i.e., classical) geometry. A future article will address fractal geometry. Geometry, from the Greek *geo *(land) and the Greek * metria* (measurement), is the branch of mathematics that focuses on objects on a plane. There are myriad objects, such as points, lines, circles, and cubes. And, there are two types of planes: two-dimensional planes and three-dimensional planes. Objects, such as circles and squares, are the domain of plane geometry; cubes and spheres are the domain of solid geometry. Geometric perspective is a way of displaying three-dimensional objects on a two-dimensional plane. Visual arts, such as drawing and painting display objects and use perspective and, therefore, are rooted in geometry.

^{[1] [2]}

#### History

Geometry dates back to antiquity. The Babylonians, the Chinese, the Egyptians, and the Indians all dwelt in geometry. But, Euclides, the Greek philosopher and mathematician, in a book titled *The Elements of Geometry*, set forth, in great detail, the foundations of modern geometry. Euclid dwelt in both plane and solid geometry. ^{[2]}

Throughout history, artists, consciously, or subconsciously, have ^{[3]}) displays an obvious use of geometry in art composition.

And, oftentimes, in modern drawing textbooks, such as *Drawing for the Absolute Beginner* by Mark and Mary Willenbrink, the authors advise art students, to first use simple geometric shapes to compose drawings. ^{[4]}

#### Geometric Perspective

Geometric perspective, from the Latin * perspicere* (to see

^{[5]}Figure 2 (Types of Perspective. © Dr. 2019 Anthony Rodriguez) displays the three types of perspective.

Perspective has been used by artists from Before Christ. Figure 3 (The Healing of ^{[6]}) displays the use of perspective.

#### Geometric Objects

Figures 4 (Landscape by Ivan Kliun. Public domain ^{[7]}), Figure 5 (Architectonics by Liubov Popova. Public domain. ^{[8]}), Figure 6 (Seated Woman by Maria Blanchard. Public domain. ^{[9]}), and Figure 7 (Geometric Composition by Georges Valmier. Public domain. ^{[10]}) display a few examples of the conscious or subconscious use of geometry in art composition.

#### Summary

Artists have long used geometric objects and perspective. This brief Blog Post presented but a few examples of such usage.

#### Endnotes

^{[1]}
*Mathematics and art*. (2018).
From Wikipedia. URL:
https://en.wikipedia.org/wiki/Mathematics_and_art

^{[2]}
*History of geometry*. (2019).
From Wikipedia. URL:
https://en.wikipedia.org/wiki/History_of_geometry

^{[3]}
Kandinsky, W. (1923). *Black and
violet*. From Wikimedia Commons. URL:
https://commons.wikimedia.org/wiki/File:Vasily_Kandinsky_-_Black_and_Violet.jpg

^{[4]}
Willenbrink, M. and Willenbrink, M. *Drawing
for the absolute beginner*. Cincinnati, OH:
North Light Books.

^{[5]}
Masolino. (1420s). *The healing of
Tabitha*. From Wikimedia Commoms. URL:
https://commons.wikimedia.org/wiki/File:Masolino_Brancacci_Chapel_01.jpg

^{[6]}
*Perspective*. (2018). From
Wikipedia. URL: https://en.wikipedia.org/wiki/Perspective_(graphical)

^{[7]}
Kliun,
I. (n.d.). *Landscape*.
From Wikimedia Commons. URL:
https://commons.wikimedia.org/wiki/File:Landscape_Racing_By.png

^{[8]}
Popova, L. (1916). *Architectonics*.
From Wikimedia Commons. URL:
https://commons.wikimedia.org/wiki/File:1916_Popova_Die_bildliche_Architektonik_anagoria.JPG

^{[9]} Blanchard, M. (1917). *Seated Woman*. From Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:Femme_Assise_(Seated_Woman),_by_Maria_Blanchard,_Spanish,_c._1917,_oil_on_canvas_-_Meadows_Museum_-_Southern_Methodist_University_-_DSC05425.jpg

^{[10]}
Valmier, G. (1930). *Geometric
composition*. From Wikimedia Commons. URL:
https://commons.wikimedia.org/wiki/File:Georges_Valmier_geometric-composition-1930.jpg