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.
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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
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. 
Throughout history, artists, consciously, or subconsciously, have
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. 
Geometric perspective, from the Latin
Perspective has been used by artists from Before Christ. Figure 3 (The Healing of
Figures 4 (Landscape by Ivan Kliun. Public domain ), Figure 5 (Architectonics by Liubov Popova. Public domain. ), Figure 6 (Seated Woman by Maria Blanchard. Public domain. ), and Figure 7 (Geometric Composition by Georges Valmier. Public domain. ) display a few examples of the conscious or subconscious use of geometry in art composition.
Artists have long used geometric objects and perspective. This brief Blog Post presented but a few examples of such usage.
 Mathematics and art. (2018). From Wikipedia. URL: https://en.wikipedia.org/wiki/Mathematics_and_art
 History of geometry. (2019). From Wikipedia. URL: https://en.wikipedia.org/wiki/History_of_geometry
 Kandinsky, W. (1923). Black and violet. From Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:Vasily_Kandinsky_-_Black_and_Violet.jpg
 Willenbrink, M. and Willenbrink, M. Drawing for the absolute beginner. Cincinnati, OH: North Light Books.
 Masolino. (1420s). The healing of Tabitha. From Wikimedia Commoms. URL: https://commons.wikimedia.org/wiki/File:Masolino_Brancacci_Chapel_01.jpg
 Perspective. (2018). From Wikipedia. URL: https://en.wikipedia.org/wiki/Perspective_(graphical)
 Kliun, I. (n.d.). Landscape. From Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:Landscape_Racing_By.png
 Popova, L. (1916). Architectonics. From Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:1916_Popova_Die_bildliche_Architektonik_anagoria.JPG
 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
 Valmier, G. (1930). Geometric composition. From Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:Georges_Valmier_geometric-composition-1930.jpg