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PERACE , KA.
TRANSNATIONAL / TRANSCULTURAL IDENTITIES
The Black Atlantic and Pythagoras’s Theorem
by Marsha Pearce
Ships were the living means by which the points within that Atlantic
world were joined. They were mobile elements that stood for the
shifting spaces in between the fixed places that they connected. Accordingly they need to be thought of as cultural and political units
rather than abstract embodiments of the triangular trade.’
Ship images and impressions of a three-sided polygon—that triangle spanning the
Atlantic Ocean, with its vertices located in Africa, Europe, and the Americas—dominate
Paul Gilroy’s counterproposal to discourses that
pin Black Diasporic identities to national borders
and police the purity of the diaspora’s cultural
composition. Gilroy’s Black Atlantic is a formation
built upon relationships, interdependencies, and
affinities that nullify such categories as “British,”
-
“American,” “African,” or “Caribbean” ascribed
to the Black Diaspora. It is in this accentuation of
correspondences that a link can be made between
q
Gilroy and Greek mathematician/ philosopher
b
Pythagoras. My mixed media artwork presented
hereis a visual nexus of two geometric frameworks:
1) Paul Gilroy’s definition of the Black Atlantic;
2) Pythagoras’s theorem, which states that the
square of the hypotenuse (wherec is the hypot-
Figure 1. Pythagoras’s Theorem
enuse; see figure 1) is equal to the sum of the
c2=a2 + b2
squates of the other two sides. While one framework may be more recognizably connected to geometry, my artwork demonstrates that
both theories are concerned with space, points, and lines.
The Square of the Hypotenuse and Black Atlantic Geometry
Space is given precedence over place in Gilroy’s vision of the Black Atlantic. Gilroy
argues for a transnational, transcultural understanding of the Black Diaspora, in opCallaloo 30.2 (2007) 547-554
Pagina 2
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Scholarly journals online
Pagina 3
Bekijk in PDF(opent in een nieuw venster)Transnational / Transcultural Identities
The Black Atlantic and Pythagoras’s Theorem
by Marsha Pearce
Ships were the living means by which the points within that Atlantic
world were joined. They were mobile elements that stood for the
shifting spaces in between the fixed places that they connected. Accordingly they need to be thought of as cultural and political units
rather than abstract embodiments of the triangular trade.
Ship images and impressions of a three-sided polygon—that triangle spanning the
Atlantic Ocean, with its vertices located in Africa, Europe, and the Americas—dominate
Paul Gilroy’s counterproposal to discourses that
pin Black Diasporic identities to national borders
and police the purity of the diaspora’s cultural
composition. Gilroy’s Black Atlantic is a formation
built upon relationships, interdependencies, and
affinities that nullify such categories as “British,”
“American,” “African,” or “Caribbean” ascribed
to the Black Diaspora. It is in this accentuation of
correspondences that a link can be made between
Gilroy and Greek mathematician/philosopher
Pythagoras. My mixed media artwork presented
here is a visual nexus of two geometric frameworks:
1) Paul Gilroy’s definition of the Black Atlantic;
2) Pythagoras’s theorem, which states that the
Figure 1. Pythagoras’s Theorem
square of the hypotenuse (where c is the hypotc2=a2 + b2
enuse; see figure 1) is equal to the sum of the
squares of the other two sides. While one framework may be more recognizably connected to geometry, my artwork demonstrates that
both theories are concerned with space, points, and lines.
The Square of the Hypotenuse and Black Atlantic Geometry
Space is given precedence over place in Gilroy’s vision of the Black Atlantic. Gilroy
argues for a transnational, transcultural understanding of the Black Diaspora, in opCallaloo 30.2 (2007) 547–554
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Pagina 5
Bekijk in PDF(opent in een nieuw venster)position to the fixities of ethnicity and the nation state. Through his consideration of the
movements of black people, back and forth across the Atlantic, and their engagements
with “others,” he underscores routes or lines that meet and pass through other routes.
In doing so, Gilroy alludes to Michel de Certeau’s understanding of space, which “takes
into consideration vectors of direction” and sees space as “composed of intersections of
mobile elements. . . . In contradistinction to the place, [space] has thus none of the univocity or stability of a ‘proper’” (qtd. in Mitchell viii). What Gilroy sees—and challenges—as
“proper” are essentialist perspectives of the Black Diaspora: absolutist views, which are
in one sense what Gilroy observes as a “brute pan-Africanism” (31), or the promotion of
a homogenous African ethnic culture, and, in another sense, a blackness that celebrates
the internal varieties of the black community but does not acknowledge input and influence from outside (32).
It is exactly this “inside” versus “outside” that Gilroy complicates as he suggests that
the relationships between European and black identities are not mutually exclusive. He
dares to argue for an occupation of “the space between” a black and a white consciousness
(1). He problematizes issues of identity, location, and nationality by proposing connections
or continuities between black people and “others.” This kind of interrelationship can be
described in Pythagoras’s terms: Those people who find themselves along the hypotenuse
(the longest side) of the Black Atlantic triangle are the sum of cultural elements, political interests, and identities—both black and white—found on the other two sides of the
triangle (c2=a2 + b2). All sides are related (a2=c2 - b2 or b2=c2 - a2) in an equation of histories,
socio-cultural politics, mobile bodies and objects, displacement and hybridism.
The Artwork
The Triangle
In the artwork, the ninety-degree or right angle represents a powerful vantage point
for examining modernity; it is a critical angle from which Black Diasporic relationships or
interdependencies can be investigated. Each piece of art situates the right angle at different sites, points, or vertices. By shifting the position of this vantage point, the hypotenuse
changes position on the globe, making it possible to scrutinize the relationships of the
sides of the Black Atlantic triangle in different ways. In Pythagoras’s Theorem I (The Black
Atlantic), the ninety-degree angle is situated at the African vertex. The hypotenuse here
becomes the line that stretches from the Americas (North America and the Caribbean) to
Europe. The other sides of the triangle in this piece of art represent the line joining Africa
and the Americas and the line that connects Africa and Europe. In Pythagoras’s Theorem II
(The Black Atlantic), the right angle is located in the Americas, making the hypotenuse the
line from Europe to Africa. The other sides represent the Americas-Africa and AmericasEurope lines. Finally, in Pythagoras’s Theorem III (The Black Atlantic), the vantage point is
Europe, making the hypotenuse the Americas-Africa line. The other sides of the Black
Atlantic triangle in this work represent the Europe-Africa and Europe-Americas lines.
My use of the hyphen to connect one place to another here (as in “Europe-Africa”) is
noteworthy. Antonio Benítez-Rojo observes, “identity is in the hyphen, that is, in neither
Pagina 6
Bekijk in PDF(opent in een nieuw venster)place” (60). The hyphen, therefore, represents that “space between.” Benítez-Rojo’s statement echoes Édouard Glissant’s notion of a poetics of relations, in which “each and every
identity is extended through a relationship with the Other” (Glissant 11). Benítez-Rojo
and Glissant help support a diasporic geometry.
The Ship
The image of the ship is repeated across the Atlantic in the artwork. These sailing vessels—charted for different directions—are essential to the equation of the Black Atlantic.
Gilroy writes:
The ship—a living, micro-cultural, micro-political system in motion—is especially important for historical and theoretical reasons
[. . .]. Ships immediately focus attention on the middle passage, on
the various projects for redemptive return to an African homeland,
on the circulation of ideas and activists as well as the movement
of key cultural and political artefacts: tracts, books, gramophone
records, and choirs. (4)
The ship then, represents a means of producing shared experiences, shared knowledge,
shared things—a means through which people from all angles and sides can be “related”
within a diaspora. Glissant appropriately describes the ship as “a womb” that “produces
all the coming unanimity” (6). Although he is speaking about the middle passage here, his
statement may also apply to the possibilities of the postslavery condition—to the way in
which relations between a black and a white consciousness can give birth to agreement,
flow, or continuity, rather than tension.
The Circumcircle
The artwork features a circumcircle, a circle that touches all the points or vertices of the
triangle. The circumcircle reinforces the global impact of “the triangular trade” of peoples
and things; it serves to place the Black Atlantic in a global frame.
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Bekijk in PDF(opent in een nieuw venster)Images in Black and White
The three pieces of art are purposefully rendered in black and white, to emphasize the
two aforementioned forms of consciousness and to show the continuities (shades of gray)
between them. The two colors are also applied and manipulated in ways that foreground
the relationships of the hues and shapes in the creation of cohesive visual compositions.
In doing so, the two colors work together to show the connections that make for a more
whole Black Diaspora.
The colors black and white are surely tied to the topics of power, ethnicity, space/place,
and diaspora. They represent, according to Gilroy,
two great cultural assemblages . . . [which] remain locked symbiotically in an antagonistic relationship marked out by the symbolism
of colours which adds to the conspicuous cultural power of their
central Manichean dynamic—black and white. These colours support
a special rhetoric that has grown to be associated with a language
of [. . .] national belonging as well as the languages of “race” and
ethnic identity. (1–2)
The mixed media works Pythagoras’s Theorem I, II & III (The Black Atlantic)—with their
computer-assisted marks, acrylic gestures, and pastel and ink strokes—serve collectively
as a pictorial polemic against this “special rhetoric.”
Note
1. Gilroy 16–17.
Works Cited
Benítez-Rojo, Antonio. “Three Words Toward Creolization.” Caribbean Creolization: Reflections on the Cultural
Dynamics of Language, Literature and Identity. Ed. Kathleen M. Balutansky and Marie-Agnès Sourieau.
Gainesville: UP of Florida, 1998.
Gilroy, Paul. The Black Atlantic: Modernity and Double Consciousness. London: Verso, 1993.
Glissant, Édouard. Poetics of Relation. Trans. Betsy Wing. Michigan: U of Michigan P, 1997.
Mitchell, W. J. T., ed. Landscape and Power. 2nd ed. Chicago: U of Chicago P, 2002.
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