Created from high-quality wood, milled with simple clean lines and presented with a satin finish. Includes an off-white mount that will not discolour or fade with age. - Simple, elegant design - Premium, fine art paper with a gently textured surface - Handmade by specialist picture framers - FSC certified off-white mat / window mount - Delivered ready for hanging

"Area Broken by Perpendiculars" (circa 1934) by Joseph Schillinger exudes a mathematical precision and an abstract elegance, highlighting the interplay of geometric forms in a two-dimensional space. This painting captures Schillinger's fascination with symmetry, proportion, and the aesthetics of mathematical principles.

At first glance, "Area Broken by Perpendiculars" comes across as a meticulous arrangement of lines and shapes, predominantly revealing the use of perpendicular arrangements. The composition is anchored by dominant vertical and horizontal lines that intersect at right angles, creating a grid-like structure that organically divides the canvas into multiple rectangular and square segments. These divisions are neither uniform nor regular, imbuing the work with a dynamic visual rhythm and tension.

The color palette primarily consists of muted tones - shades of grey, soft blacks, and whites predominate, with occasional bursts of more saturated, contrasting colors that draw the eye unexpectedly. This restrained use of color serves to emphasize the structural interplay rather than distract from it. The flatness of the colors and the clean lines almost deny any illusion of depth, stressing the two-dimensional nature of the medium.

Peek closely, and one might notice subtle variances in line weight and texture, suggesting a superior understanding of balance and proportion. The overall effect is one of a musical composition frozen in time, orderly yet alive with potential movement.

Joseph Schillinger (1895–1943) was a multifaceted figure best known for his contributions to music theory and mathematical art. Schillinger's approach to art was deeply rooted in his scientific and teaching background. He developed the Schillinger System, a mathematically based method of musical composition that he taught to several significant composers and musicians, including George Gershwin, Glenn Miller, and Benny Goodman.

While more acclaimed for his influence in music, Schillinger’s exploration into visual art was an extension of the same mathematical principles. "Area Broken by Perpendiculars" epitomizes his approach to abstract art, where rational design and exact calculation form the basis of visual aesthetics.

As of current records, the original painting might be part of a private collection or an institution's holding that catalogs works inspired by mathematical or scientific principles. Information regarding specific museum housing or public exhibition of this painting is somewhat fragmented, reflecting Schillinger's more renown in musical circles than in the art world.

"Area Broken by Perpendiculars" fits seamlessly into Schillinger's larger body of work that aims to blur the boundaries between art and science. During the 1930s, abstract art was thriving, with movements like Constructivism and De Stijl exploring geometric abstraction and systematic representation. Schillinger's work aligns with these movements but stands apart through his rigorous application of mathematical formulas in art.

Creating art that is at once visually captivating and intellectually stimulating, Schillinger’s works often seem like visual counterparts to his musical theories. Each element on the canvas can be scrutinized for its mathematical relationships to others, invoking a sense of order and harmony akin to a well-composed symphony.

- By delving into Schillinger's methodologies, one gains a richer appreciation of the interdisciplinary approach that foreshadowed future explorations in digital art and algorithmic design.
- His work continues to inspire those interested in the intersections of mathematics, art, and music, symbolizing a holistic approach to creative expression.

In summary, "Area Broken by Perpendiculars" is a fascinating study in abstraction and geometry, emblematic of Joseph Schillinger's unique legacy at the confluence of art and mathematical practice.