Friday, December 23, 2011

Menelaus of Alexandria

Some Notes on Menelaus.
His work on spherical geometry furthers into Non Euclidian Geometry.  Geodesic, a straight line is a small segment of a large circle who has a center.  Modern aviation, airplanes use this knowledge to fly.  This is how commercial airplanes fly.  (I learned this fact from a book call 'Is God a Mathematician'? 
Mathematician began to see fault in Euclid's geometry because of his proposition for Parallel line was long and clumsy.  In spherical geometry, the parallel lines do not extend for ever in parallels.  They come to a point.  This is why there is a distinction between spherical geometry and plane geometry.  Look at the globe.  The meridian comes to a point at the North and South Poles.

Michael Schultheis

http://www.michaelschultheis.com

.froelick gallery bio

Gold Sail of Menelaus

"As humans, we have a fascinating capacity to visualize mathematics. Our analytical concepts can be visualized, written down in notation, and then shared as a logical and visual language for others. These creative issues from our minds are analytical expressions, and the visual process of rendering them is analytical expressionism. This is the world I explore while painting." - Michael Schultheis


Likening his canvas to a chalkboard, Michael Schultheis creates paintings consisting of layers of mathematical notations and drawings that describe the form and motion of three-dimensional geometric shapes.



Conics of Apollonius
Toriods
Harmonic Oscillations
Harmonic Quadrants
Parabolic Symmetries
Conic Symmetries
Cycloids

Tuesday, June 14, 2011

Fedrico Saenz Recio

federico saenz recio
NATURE PROVIDES
Acrylic graphite pastel on canvas

Plane

This looks like a Richard Sierra work.  I like the balance.  The vertices and the x y axis.  The plane and vector geometry in this work.  I like the equilibrium.

Viollet-Le-Duc



Timber-frame bartizan, as seen in Strasbourg (late XIV - XV century).

From Dictionnaire raisonné de l’architecture française du XIe au XVIe siècle (Reasoned dictionary of French architecture from the XIth to the XVIth century), vol. 7 by E. Viollet-Le-Duc. Paris, 1875.

(Source: archive.org)