Post 672 –by Gautam Shah
This is the 1st article of series: ‘CORNERS’.
A corner is convergence of two lines or surfaces, respectively to a point, or line. It can be an outward entity with crowning vertex, and an inward form of a depressing nadir. A vertex and nadir both are zero measure elements, mere points, abstract representation of a corner. In comparison a corner is far more substantial due to its wedge like spread.
‘Nature has no corners, you are the vertex or nadir of it’. -unknown.
Terrestrially directions are always well ‘based’, real and cardinal (North, East, South, West), whereas, Corners occur as inter-cardinal ephemeral entities. The spatial sensualities of the human body, format the sense of emplacements and orientation, such as the Left-Right, Up-Down and Front-Back.
Indian mythological space has 10 corners (four cardinal points + four angular points + up & down). The Kshetrapals (Guardians of the estate), however reside in four corners of the plot. The Global locations are defined through the corner formed by longitude and latitude. The Global Positioning System (GPS) was based on tracing of radio frequency, but now multiple satellites (as many as 24 or more in different types of orbits) work as regional and global location noting system. Besides location, the satellites also define movement and its direction, and altitudes. Currently photographs have embedded information about location (like longitude and latitude through GPS), but in very short future this will be reinforced with information about angle or direction of the shot.
Estate corners have been assigned specific meaning and preferred tasks in Indian Vastu Shastra (Classical cannons of design-building). East direction should be open, light, bright and clean. West direction is for stability in life. North is holiest or purest direction. It is for wealth and prosperity. Energy flow out so should be lowest in level. NE is for deities to reside. South direction is considered inauspicious for entrance. It is owned by Yam, Hindu deity for death.
Some similar approach is offered in Jewish-Christian traditions. God created all sides, but left the North unfinished, saying, ‘whoever declares own-self to be God, allow the person to finish this corner, and then all shall know the truth’. From that unfinished corner, demons, winds, earthquakes, and evil spirits come forth to the world. From the north shall disaster break loose (Jer. 1:14). Because of the cold North winds, it was identified as the abode of evil spirits.
Egyptian pyramids and other buildings are squared and well oriented. These have axial depth depicting space sequences. But the Egyptian art has total absence of oblique except for the Ra’s rays, ropes of weighing scale, wide feet and few gestures of the hand. There is a datum line that divides the scene into several strata, but does not become a scaling device. There are vertical elements that frame (a built-frame like mandap or chupah) the important person but it is a planner view. Architecture is gravity stable, with sloping faces of columns, obelisks, pylons, ceremonial ramps, and oblique faces pyramids.
A corner is a recognizable, and long-lasting point or mark on a property. It is a point, from where a change (of direction) occurs. A corner marked property, has edges that define the exterior versus the interior attributes. It also defines, ours versus others domains. Corners define convex or concave (outward or inward) character of a spatial entity. Corners, if belong to the inside, mark what is included, and if on the outside, define what is excluded. We traverse an estate as a planner entity of corners, and for this, the contoured undulations are not important. A triangle, a three-cornered shape, has three vertices, and it is the minimum entity. Large country surveys are resolved to triangles, as the sharing of vertices, edges, and angles creates a linked universe.
The prime cornered entity has been the Dice, with its potency to turn the fortunes. The dice, on one its six sides, has 4 dots at corners (like the city cross road diagonals). This was known as quatre (French), and anglicized to cater. Somewhere along the time, the word Cater came to be truncated to ‘cat’, and corners were identified for the cat to be in. No one asked the feline creature, if she preferred, a window sill instead?
Corners are right angled, acute, obtuse or reflex. Solids have corners with two exterior faces and hollow objects have two interior faces. The outward sides of an acute or right angle corner are difficult to comprehend simultaneously, because one of the side remains concealed, till one turns around. The exterior corner can be grasped fully, if only one moves away from it. Obtuse and reflex corners sometimes defy the perspective view. Solids have ‘impersonal exterior faces, and hollow objects have compassionate interior sides’. Acute corners of an isometric view create visual aberration, where outward and inward corners look identical.
A megaphone, trumpet, bullhorn, etc. are cone-shaped acute corners whereas speakers have a wider cone of an obtuse angle, both are meant to amplify the sound. The conical angle enhances the power of sound and radiate it in desired direction. A ‘listening cone’ for hearing fetal heart sounds of babies, is acute angled, whereas a dish-antenna is an obtuse-angled device that captures sounds (or energy) from a wider source, and concentrate it at the narrow end.
A plane vertical edge enhances the corner, but if the plane is not a true square or has surface perturbation like single or double curvature then visual distortion is very ambiguous. An outward incline of the edge-plane over a corner push the centre of gravity away from the base, and makes the solid unstable, conversely an inward lean of the edge-plane over a corner is visually depressant, but offers an assuring gravity-stable solid.
Corners are secluded spaces, ideal for intrigue, but the occupants remain unaware that conversation gets amplified and others can overhear. Secretaries, maids and butlers use reverse wine glass for listening to secrets. A corridor is a good sound transmitting tunnel, unless properly baffled or insulated. A corner protects you from sides, but does not allow any offensive action. Corners have little freedom of movement, and so one cannot hope to play blind-person’s buff.
A corner entrance offers deepest traversing distance, so on any estate (party-place, banquette hall, game or fun-park, museum). Just like the main course of dinner, the entree is longer lasting and satisfying. Corners are closed and dead, but seclusion of a corner is dissolved by a gap in the end, like a funnel. It drains away the energy, but also acts like a pressure release valve. This technique is well exploited in public spaces like piazzas, plazas, courtyards, etc. The sides of parallel (square or rectangular) remain uninvolved but a cornered entity (parallelogram, triangle or multi-cornered) offers hopes of involvement.
Corners were re-realized when ‘perspective machines’ began to offer rational views with regulated corners. For architecture, the corners were conceived for the perspective, but in paintings, these were exploited to put everything to scale and format a unified composition. The view making corners were most obvious in Greek Parthenon Here, not only the site was cornered, but built-form was also angled, but much later Baroque period created its own multi cornered architecture irrespective of the site.
Essence of a corner is its end point, and not the sides, inside or outside faces. In a perspective, corners mark the change of plane, but due to the taper, scale the scene. The corners, in perspective exterior or interior ones, all really occur inside a hypothetical cone. Performance stages were once round, but for controlled perception, have turned into wedge form. The tapered form of the stage has several advantages: On solid wall stages tapered shape reinforces the sound delivery like a megaphone, the wedge shape adds to the visual depth, it also allows the sides of the set to be visible from the audience arena. Games have corner shots as penalties. Loneliness is not confined by the sides, but it is just a personal low point, in an empty or crowded space. In a corner, if the change over is spatially distanced or time delayed, it turns into catch-22, a paradoxical situation of opposite set of rules (title of 1961 novel, Catch-22 by Joseph Heller). Corners must be negotiated quickly and decisively, and as in games one must negotiate (‘cut’) it from a distance or get shot by hidden opponent.
A corner is also a joint, and here two different things have some generative encounter. Joints are conditions of adjacency between two or more objects, which offer some spatial surprises. Many different social and political activities flourish at corners, investing a different meaning to the architectural space.
The word corner derives from > ‘corne, corner, horn, cornū, cornua, cornere, corniere, corna (horn or hyrne), angle. Use of cater (French quatre =four”), as a verb can be traced to the 16th C as meaning ‘to place something diagonally, move diagonally, place diagonally or cut diagonally’.