ALANROGERCOOK - FURNITURE DESIGN AND FABRICATION | ||
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DICTIONARY STAND 22” x 15” x 41” The primary premise upon which this design is predicated has to do with the idea that definitions are circular; i.e, we use words to define other words which in turn are further defined by still other words until eventually it becomes necessary to repeat certain terms, thus arriving at circularity in the definition. This idea of circularity is embodied by the use of circular forms (specifically the cone, sphere, and cylinder) and by references to the term pi as it represents the ratio of the circumference of a circle to its diameter. The numerical value pi (3.14159...) serves as a sizing ratio in the design of several rectangular elements. For example, the two front leg posts of the table are notched to reveal that the void they enframe is proportioned as three squares plus a fraction (i.e. 3.14159...). The central box has a similar three square plus a fraction motif. This box also demonstrates the fundamental role of social convention as a feature of language by the use of the inch as a measuring convention; the sides have the specific dimensions of 22” x 7”; 22/7 being a simple whole number ratio giving a close approximation to the value of pi. The tenuous nature of the social contract known as language, where meanings are arbitrarily but conventionally associated with specific forms, has a general expression in this work in how the sphere and cylinder appear to be precariously balanced as part of the foundation of language as represented by the dictionary. |
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The cone, sphere, and cylinder in this design each have the same unit of magnitude in their diameters and in their altitudes (seven inches) which further posits the pi ratio between diameter and circumference in these pieces. According to Archimedes, these three shapes have the respective volumetric ratios of: one to two to three. This fact is implicitly portrayed on the left and right sides of the central box piece by the small groups of one inch cubes placed in rows horizontally aligned with the three profile shapes windowed in the back face of the central supporting box (i.e. the triangle for the cone = 1 volume, the circle for the sphere = 2 volumes, and the square for the cylinder = 3 volumes; Note thealignedwalnut 1" cubes). A dictionary is an enterprise of symbols (i.e. of things representing other things). Consistent with this propriety, the entire dictionary table, made of salvaged pine, has a material anomaly, the front facade. This is made of expensive walnut incarnating an illustration of the Greek character for pi (π) and thus demonstrating by its frontal position, its greater economic value, and its vignetted material contrast, the primacy of symbols in the significance of a dictionary. |
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MEMENTO MORI - CRANIAL TREASURY 24" diameter x 30" high Hollow Bone - The Presence of the Absence |
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Axis Mundi and The Quadrature of the Circle: from Matter to Spirit
The ancient geometers sought to derive a functional correspondence between the transient material forms of the phenomenal world symbolized by the square and the cube, and the eternal transcendent forms of absolute perfection symbolized by the circle and sphere. This skull-like chest has a 15" cube supporting a 24" diameter by 15" high cylinder. Their equal heights and their symmetrical alignment along the vertical axis imply a correspondence of the two forms progressing from the earth connection of the cube to the elevated circle of the heavenly realm. There is no true quadrature here since the square and circular areas are unequal. But the simplicity of the forms and their relationship asserts their essential identities and, to the initiate, causes recall of the alchemical intention of transforming inert matter into sublime spirit. The Perfection of Lunacy |
Proportioning: Top This The human skull is a very close approximation of a golden section rectangle in the proportioning of its height to width ratio considered from the frontal view. The cranial treasury incorporates a similar value of the golden section ratio in the portion of its upper cylinder half (i.e. a 24" diameter and a 15" height = a ratio of 1.6). The whole treasury chest has an overall ratio of 30:24 = 1.2 thus possessing a disparity from a true correspondence with a whole human skull (ratio of 1.618). Since a notable difference between this chest and a human cranium is the respective flatness of the top of the one and the roundness of the other, it may be inferred that the treasury chest has been truncated thus implying a further openness and connection to the vertical axis mundi and the heavenly realm. |
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SUSIE'S LECTURN 42" X 26" X 16" This was designed for a language arts class and incorporates imagery to stimulate the poetic and metaphorical sensibilities. It also has proportioning related to the golden mean. |
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VALET DE L'ENTREE 19" x 19" x 71" tall (67 x 67 x 174 cm) Utility Features: one head is better than none Assumptions: days I knew déjà vu Intentions: homo erectus, meuble collectus, architectura perfectus |
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