Title
Ron Eglash
Updated
2026-07-14

Ron Eglash

Ron Eglash is represented in the archive by work across ethnomathematics, science and technology studies, cybernetics and technocultural identity. His central methodological move is not simply to find modern mathematics in African objects. He asks who is credited with mathematical intention, how an external model relates to an artisan's or diviner's own knowledge, and how claims about cultural origins acquire political force. That makes his archive relation to Ccru unusually direct—the short “Africa in the Origins of the Binary Code” circulated on ccru.net—but it does not make every historical genealogy in that text settled consensus.

African fractals: pattern, simulation and intention

In African Fractals, fractal form means symmetry across scale rather than repetition at one fixed size. The important evidence is not visual resemblance alone. Eglash combines aerial images, computational simulation, measurements, earlier ethnographies, interviews and artisans' explanations to distinguish accidental self-organization from deliberate design.

The Logone-Birni palace provides a compact example. Nested rectangles organize architectural and social passage toward the throne, and the same scaling rectangles appear in a royal wall insignia. Each smaller scale requires a more formal mode of conduct, so geometry becomes both an indigenous representation and a practical organization of rank (Ron Eglash/Texts/Books/ron-eglash-african-fractals.pdf, pp. 29–31). In a Ba-ila settlement, rings recur as house, family enclosure, chief's family ring and village. A front-to-back increase in size maps status, while the repeated location of household and village altars connects the scales through function rather than mere resemblance (ibid., pp. 33–36).

The Mofou example adds a further safeguard against projection. Computer simulation reveals a spiral relation among circular compounds and granaries, but Eglash checks the model against local accounts: the central altar is associated with agricultural and ancestral cycles, and the chief describes converting expected crop volume into a planned number of spirally arranged granaries. Eglash also notes the model's limits where real buildings do not conform (ibid., pp. 36–38). “African fractal” therefore names a family of differently situated practices, not a single continental essence.

The book makes intention a spectrum. A photographed tree may contain a fractal without the photographer thinking fractally; stylization, abstraction and explicit construction rules provide progressively stronger evidence of mathematical modeling. Eglash reports cases where makers say a pattern is simply beautiful and refuses to invent a hidden meaning for it. He reserves the strongest knowledge claim for designs whose techniques and concepts can be documented (ibid., pp. 58–64). Ethnomathematics here is an evidentiary method, not a device for redescribing every African artifact in the vocabulary of Western mathematics.

Bamana sand divination: recursion in practice

Eglash's detailed account of Bamana sand divination comes from fieldwork with diviners in Dakar. Four rapidly drawn lines supply random quantities of dashes. Pairing the dashes reduces each line to odd or even, recorded as a single or double mark; four rows form one of sixteen possible figures. After four initial figures are made, addition modulo two is applied repeatedly to their rows and columns. Outputs become inputs for the next stage until a sixteen-figure array is generated (Ron Eglash/Texts/Essays/Bamana Sand Divinination- Recursion in Ethnomathematics.pdf, pp. 5–7).

The method does not eliminate interpretation. A figure's position or “house” combines concepts—desire in the house of travel, for example—into prompts for a diviner's narration. But recursion self-generates complexity from only four random drawings, avoiding the memorization of a fixed verse for every combination (ibid., p. 7). Eglash further reports a shortcut in which the diviners draw nested pairing curves, making the recursive structure physically visible; he relates it to other iterative forms in sculpture, architecture and accounts of generations (ibid., pp. 8–9).

The article's reflexivity is as important as its algorithm. Eglash describes the relationship as a mathematical collaboration—“recursion fanatics” recognizing one another—while also warning that fieldwork does not escape differences of culture, money and power. He compares the local social conditions of Bamana divination with the religious and institutional conditions around Georg Cantor's set theory, refusing the old division in which Europeans produce universal mathematics while Africans merely supply culture (ibid., pp. 5–6, 8–10).

A conditional genealogy of binary code

The archive's short ccru.net text makes a stronger historical proposal. Eglash writes that Leibniz's binary code was inspired by Raymond Lull's logic machine and, following Stephen Skinner, that Lull's device drew on geomancy. He then notes written records of sand divination in North Africa, formally related systems in West and East Africa, binary calculation in ancient Egypt and traditions organized around doubling (Ron Eglash/Texts/Essays/Africa in the Origins of the Binary Code.pdf, pp. 1–2).

That chain must retain its source grammar. In the longer Bamana article, Eglash says René Trautmann proposed diffusion from Arabic ilm al-raml into European, West African and East African systems; Robert Jaulin and Skinner developed the case. Eglash questions their Arabic-origin conclusion by pointing to African base-two practices, doubling motifs and modulo operations, but he does not present an uncontested documentary line from a single African invention to Leibniz (Ron Eglash/Texts/Essays/Bamana Sand Divinination- Recursion in Ethnomathematics.pdf, pp. 7–8). His statement that modern binary could trace its origins to African divination is explicitly conditional on Skinner's account of Lull (ibid., p. 10, note 7).

Read this way, the ccru.net essay is not valuable because it proves an uncomplicated origin story. It redirects attention from the familiar image of “flexible” African rhythm toward digital abstraction and recursive procedure, while its closing language of listening to the future places it beside Kodwo Eshun and Afrofuturism. Its sixteen-figure arithmetic also provides a comparative route toward the Numogram, not an identity between divination systems.

Symmetry beyond a universal template

“Rethinking Symmetry in Ethnomathematics” challenges the routine use of crystallographic classifications—reflection, rotation and translation—as a universal grid for sorting non-Western designs. Eglash distinguishes mathematical anthropology, which can locate patterns in the researcher's model without attributing awareness to their makers, from ethnomathematics, which stresses local mathematical intention (Ron Eglash/Texts/Essays/Rethinking Symmetry in Ethnomathematics.pdf, pp. 2–3).

His alternative is not to reject translation between systems but to make it interactive. A Virtual Bead Loom developed with Shoshone-Bannock teachers and students uses a Cartesian-like grid and programmable design tools. Students can model reflection, yet they also alter the tools' operations to create designs grounded in their own beadwork practice. Eglash contrasts this dynamic exchange with a static analysis that assumes only one correct symmetry description (ibid., pp. 3–5). The essay closes by extending culturally situated design tools to scaling symmetries in African and African American patterns (ibid., p. 8). Method becomes collaborative tool-building: formal mathematics can illuminate a practice, while the practice can revise the formal tool.

From heritage to networks

Eglash and Toluwalogo B. Odumosu restate the fractal research as a “family resemblance across multiple cultural streams,” explicitly rejecting a homogeneous African mathematics. They describe how field interviews changed an initial hypothesis of unconscious self-organization into an account of intentional recursive scaling (Ron Eglash/Texts/Essays/Fractals, Complexity, and Connectivity in Africa.pdf, pp. 1–3). The coauthorship matters: claims in this essay belong to both writers.

Their proposed applications are likewise framed as questions and possible hybrids, not inherited solutions ready for deployment. They warn against seeking a pure past, then ask whether bottom-up settlement processes might help rethink centralized political institutions, whether decentralized order could mediate between nation and state, and whether existing social networks could support technical connectivity (ibid., pp. 6–8). Indigenous form becomes a resource for experimentation only through contemporary political judgment.

Race, gender and technocultural access

“African Influences in Cybernetics” establishes the anti-essentialist frame. Eglash argues that racism can make African culture either too concrete and “natural” or too abstract and disembodied; simply declaring African and European knowledge identical, or celebrating their absolute difference, preserves the trap. He instead separates information structure from its analog or digital representation and insists that recursive computation can occur in either medium (Ron Eglash/Texts/Essays/African Influences in Cybernetics.pdf, pp. 1–2). The essay later treats reggae and rap as technically specific signal practices and criticizes science education research that counts planting seeds as scientific experience while excluding video games and audio technology familiar to Black students (ibid., p. 5).

“Race, Sex, and Nerds” shifts from mathematical objects to the identities that gate access to technical culture. Eglash argues that “nerd” status supplies cultural capital and collaboration networks while coding technological mastery as white, male, desexualized and socially withdrawn. He maps this against racist constructions that place Blackness on the side of excessive embodiment and Asian identity on the side of excessive abstraction (Ron Eglash/Texts/Essays/Race, Sex, and Nerds; From Black Geeks to Asian Hipsters.pdf, pp. 1–4).

Reversal opens doors but does not by itself dismantle the boundary. Black geeks, Asian American hip-hop and “geek grrrl” formations can oppose exclusion, yet they may leave intact the categories of coolness, femininity and technical expertise they recombine. Eglash presents Afrofuturism as a more thorough attempt to place Black cultural origins within the artificial as well as the natural, while also criticizing its elitism and preference for artistic and literary work over science, economics and politics (ibid., pp. 9–12). The goal is not a new essence but a reconfiguration of who can inhabit technoculture and on what terms.

Patricia Cowings: interview roles

The Patricia Cowings interview supplies a concrete counterpart, but its answers belong to Cowings. In response to Eglash's questions, Cowings describes NASA work training subjects to regulate multiple physiological responses through analog, digital, visual and auditory feedback. She emphasizes individualized “physiological fingerprints,” experimental repetition and adaptation of displays to each learner rather than one average subject (Ron Eglash/Texts/An Interview with Patricia Cowings.pdf, pp. 1–3).

Cowings calls the monitoring apparatus a prosthetic for the nervous system: it helps subjects notice bodily signals and learn control, but people reach the same outcome by different paths. She also recounts entering a field in which neither women nor life scientists were expected, rejects weak claims that women are inherently more susceptible to motion sickness, and describes science fiction as an early route toward studying human potential (ibid., pp. 3–4). Eglash frames questions about cybernetics, embodiment and race; Cowings provides the research history, method and autobiographical evidence.

Archive boundary

Eglash's value to this wiki is methodological as much as genealogical. Fractals and binary figures are not free-floating proof of an African origin for all computation, and mathematical translation is not neutral merely because it praises its subject. His strongest archive work keeps formal analysis, indigenous explanation, historical documentation and present political use in productive tension.