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Edge

Edge.org is a nonprofit online forum founded in 1996 by literary agent and author John Brockman to convene leading scientists, philosophers, and intellectuals in discussions probing the boundaries of empirical knowledge. It embodies the concept of the Third Culture, in which practitioners of empirical disciplines supplant traditional intellectuals by directly conveying, through their work and writing, the deeper implications of scientific advances for understanding reality, identity, and existence. Originating as the digital successor to The Reality Club—a series of private gatherings Brockman organized from 1981 to 1996 inspired by artist James Lee Byars' "World Question Center"—Edge.org facilitates unfiltered exchanges among elite thinkers, emphasizing rigorous questioning over consensus. Its core mission, drawn from Byars, is "to arrive at the edge of the world's knowledge, seek out the most complex and sophisticated minds, put them in a room together, and have them ask each other the questions they are asking themselves." The platform's hallmark is its annual Edge Question, which poses a singular, provocative —such as "What do you believe is true even though you cannot prove it?" or "What should we be worried about?"—to hundreds of contributors, yielding compilations often published as books that synthesize diverse, frontier perspectives in fields like , physics, , and . These efforts have amplified Third Culture ideas, fostering a global colloquium that prioritizes empirical evidence and interdisciplinary synthesis over institutional gatekeeping. Edge.org also hosts in-depth conversations, video libraries, and events like the annual "Billionaires' Dinners," attracting figures from , , and to deliberate on paradigm-shifting topics. Notable for its influence on public discourse about , Edge has drawn scrutiny due to substantial funding from financier , who contributed millions to the Edge Foundation between 2001 and 2015 and attended its gatherings, embedding the network within Epstein's broader elite circles prior to his 2008 conviction for procuring underage girls for and his 2019 arrest on federal sex-trafficking charges. This association, while enabling operational scale, has raised questions about donor influence in curating intellectual access, though Edge's content remains grounded in contributor-driven empirical inquiry rather than external agendas.

Science and Mathematics

Geometry and Topology

In , an of a is a straight connecting two consecutive vertices, forming the of the polygonal face. For polyhedra, an edge is the along which two distinct faces intersect. These definitions underpin the combinatorial structure of convex polyhedra, where edges link vertices and bound faces, as formalized in classical treatments of . The conceptual foundations trace to Euclid's Elements (c. 300 BCE), which systematically describes plane figures like polygons via their sides (edges) in Books I–IV and extends to solid angles and polyhedral surfaces in Book XI, emphasizing edges as generators of spatial boundaries without modern topological abstractions. A pivotal advancement occurred with Leonhard Euler's 1752 analysis of polyhedra, yielding the formula V - E + F = 2 (where V is vertices, E edges, and F faces), which quantifies the topological invariance of edges relative to faces and vertices for convex polyhedra, proven via inductive connectivity arguments. In , edges manifest as 1-simplices—unordered pairs of vertices forming line segments—in , which triangulate spaces by gluing simplices (0-simplices as points, 1-simplices as edges, higher-dimensional analogs as filled triangles or tetrahedra) such that intersections are shared faces. This framework approximates manifolds: a homeomorphic to a manifold inherits its topology, with edges comprising the 1-skeleton that encodes and properties, as in the boundary operator of where \partial(\sigma^1) = v_0 - v_1 for an oriented edge \sigma^1 = [v_0, v_1]. For manifolds with , triangulations yield edges along boundary components, which are themselves closed manifolds of one dimension lower, ensuring the boundary's \partial(\partial M) = \emptyset in the smooth category but retaining combinatorial edges in piecewise-linear models.

Graph Theory

In , an connects two vertices, representing a fundamental relation or link within the discrete structure known as a . In an undirected graph, an edge is formally defined as an of distinct vertices \{u, v\}, indicating a symmetric without inherent . Directed graphs extend this by defining edges as ordered pairs (u, v), where the connection points from u to v, modeling asymmetric relationships such as one-way streets in network analysis. Graphs may permit additional edge variants to capture complex structures: loops, which are edges (u, u) connecting a vertex to itself, and multiedges, allowing multiple edges between the same pair of vertices to represent parallel connections or weighted multiplicities. The degree of a vertex, defined as the number of edges incident to it (with loops counted twice), quantifies local connectivity; the Handshaking Lemma states that the sum of all vertex degrees equals twice the number of edges, as each non-loop edge contributes to exactly two degrees. This lemma, provable by double-counting edge endpoints, implies that the number of odd-degree vertices must be even, a parity condition essential for analyzing graph traversability. The origins of edge concepts trace to Leonhard Euler's 1736 paper "Solutio problematis ad geometriam situs pertinentis," which modeled the Seven Bridges of Königsberg as a with landmasses as vertices and bridges as edges. Euler demonstrated no path traverses each edge exactly once (an ) because exactly four vertices had odd degree, violating the Handshaking Lemma's even-odd requirement for such paths. This work laid foundational principles for , emphasizing edges' role in connectivity and traversal problems. Edges underpin measures: a (or cut-edge) is an edge whose removal increases the number of connected components, equivalent to an edge lying on no . Identifying bridges via algorithms like Tarjan's variant, which uses discovery times and low-link values to detect edges not part of back edges to ancestors, aids in assessing network robustness. In applications, edges enable shortest-path algorithms such as Dijkstra's, which iteratively select minimal-distance edges from a to compute optimal routes in weighted graphs, with O((V+E) \log V) using heaps. These edge traversals model real-world networks, from transportation to communication, prioritizing empirical efficiency over abstract ideals.

Physics and Engineering

In electromagnetism, edge effects manifest as fringing fields, where electric flux lines bend outward near the boundaries of parallel-plate capacitors, deviating from the uniform field assumed in ideal models. This phenomenon, also termed the edge effect, arises because the electric field extends beyond the plates into the surrounding space, influencing capacitance calculations; for finite-sized plates, fringing increases the effective capacitance by approximately 10-20% compared to infinite-plate approximations, depending on plate separation and dimensions. Engineers account for these effects in high-precision designs, such as sensors or microelectromechanical systems (MEMS), using numerical simulations to quantify field non-uniformity and mitigate inaccuracies in energy storage or field strength predictions. In , edge states emerge in topological insulators, materials with insulating bulk but conducting surfaces or edges due to band topology protected by time-reversal symmetry. These states were theoretically predicted in 2005 by Charles Kane and Eugene Mele for two-dimensional systems like with spin-orbit coupling, enabling dissipationless charge transport confined to boundaries via helical edge modes where electrons propagate unidirectionally without backscattering. Experimental realizations in materials such as Bi₂Se₃ confirmed robust edge conduction, with conductivity persisting even amid impurities, offering potential for applications where edge states maintain coherence over micrometer scales at low temperatures below 100 K. In fluid dynamics, leading and trailing edges of airfoils critically influence aerodynamic performance through boundary layer management and pressure distribution. The leading edge, typically rounded to minimize stagnation pressure rise, initiates flow separation or attachment based on angle of attack, while the sharp trailing edge enforces the Kutta-Joukowski condition, ensuring smooth flow rejoining and generating circulation that deflects airflow downward per Newton's third law, producing lift. Bernoulli's principle, formalized in 1738, relates faster airflow over the curved upper surface (reaching speeds up to 1.2 times freestream velocity) to reduced pressure, contributing to the net lift force quantified as L = ½ ρ v² S C_L, where C_L incorporates edge geometry effects; however, causal primacy lies in viscous momentum transfer and vortex shedding at edges rather than pressure-velocity correlation alone. In materials engineering, fracture edges govern crack propagation under stress, analyzed via the Griffith criterion established in 1920, which posits brittle failure occurs when the energy release rate equals or exceeds the critical value for surface creation, G ≥ 2γ, where γ is the surface energy (typically 1-10 J/m² for ). For an elliptical crack of length 2a in a plate under tensile stress σ, the criterion yields σ_f = √(2 E γ / π a), predicting that microscopic edge flaws amplify stress concentrations by factors up to √(a/ρ) (ρ being tip radius), explaining why pristine materials fracture at lower loads than bulk strength suggests; this informs failure prediction in structures like turbine blades, where edge-initiated cracks grow unstably once reaching 0.1-1 mm lengths.

Technology

Computing

Microsoft Edge is a web browser developed by , initially released on July 29, 2015, as the default browser for , replacing . The original version used the EdgeHTML rendering engine, but in December 2018, Microsoft announced a shift to the open-source Chromium project to improve compatibility and performance, with the Chromium-based Edge launching on January 15, 2020. This transition addressed compatibility issues with web standards dominated by Chromium-based browsers, enabling better support for extensions and sites optimized for . By September 2025, Edge held approximately 4.7% of the global desktop browser , reflecting steady growth from under 1% in 2020, driven by pre-installation on Windows devices and enterprise adoption. In 2025, rolled out enhanced features in Edge's Copilot Mode, an AI-integrated experience leveraging large models for tasks such as booking reservations, unsubscribing from emails, and generating responses based on history. This update, part of the Copilot Fall Release announced on , 2025, positions Edge to compete directly with emerging AI browsers like OpenAI's Atlas, emphasizing agentic web interactions where AI automates user actions rather than passive search. Adoption has been bolstered by integration with and Windows, though global market share remains limited amid Google Chrome's dominance at over 71%. Edge computing refers to a paradigm that processes at or near the location of its generation, such as on devices or local servers, to minimize and usage compared to centralized architectures. This approach gained prominence after 2010 with the proliferation of sensors generating massive volumes, enabling real-time analytics essential for applications like autonomous vehicles and industrial automation. The integration of networks since the mid-2010s has accelerated adoption by providing high-speed, low- connectivity to edge nodes, reducing reliance on distant data centers and cutting costs for transmission—estimated savings of up to 30-50% in for high-volume scenarios. By 2025, edge computing supports over 75% of enterprise processed outside traditional s in latency-sensitive sectors, contrasting with models by prioritizing causal proximity to sources for faster decision-making. Criticisms of Edge implementations include privacy risks from browser data collection, where Microsoft aggregates browsing telemetry even across sessions unless users opt out via settings like tracking prevention, raising concerns over surveillance compared to more privacy-focused alternatives. In edge computing, decentralized architectures introduce vulnerabilities like inconsistent security protocols at remote nodes, potentially exposing sensitive IoT data to breaches without uniform cloud-grade encryption. Broader market dynamics face antitrust scrutiny, as Chrome's 72% share in 2025 entrenches Google’s ecosystem lock-in, hindering competitors like Edge through default search integrations and app store policies, prompting U.S. Department of Justice remedies in September 2025 to curb exclusive deals without mandating divestiture. These issues underscore competitive pressures favoring incumbents, with empirical data showing slower innovation in fragmented markets.

Telecommunications

Enhanced Data rates for GSM Evolution (EDGE), a digital mobile phone technology classified as a 2.75G standard, was developed in the late as an upgrade to networks to provide higher packet-switched data rates using 8-phase shift keying (8PSK) modulation schemes. It achieved theoretical peak download speeds of up to 473.6 kbps, with practical downlink rates typically reaching 384 kbps under optimal conditions, serving as a transitional technology before full deployment. Initial commercial deployments began around 2003, with average user speeds of 80-130 kbps, and it saw widespread adoption through the in GSM-dominant regions to extend data capabilities without infrastructure overhauls. In telecommunications networks, edge routers function as boundary devices that interconnect autonomous systems, managing inbound and outbound traffic while enforcing policies for security and routing efficiency. These routers typically employ the Border Gateway Protocol (BGP), an exterior gateway protocol standardized for exchanging reachability and path information between distinct networks on the internet backbone, enabling scalable inter-domain routing decisions based on attributes like path length and policy. BGP's path-vector mechanism allows edge routers to select optimal routes while avoiding loops, handling the global scale of internet peering where thousands of autonomous systems exchange updates, though it requires careful configuration to mitigate issues like route flapping. The concept of edge in modern telecommunications has evolved with networks through (MEC), a framework standardized by that decentralizes processing by colocating compute resources near radio access points, reducing from core network dependency to under 10 milliseconds for time-sensitive applications. Integrated into architecture since Release 15 (2018), MEC supports ultra-reliable low- communication (URLLC) for use cases such as autonomous vehicles and industrial automation, where data processing occurs at the network periphery to minimize round-trip times. Commercial MEC deployments accelerated post-2019 alongside spectrum auctions and base station rollouts, with operators like leveraging it for edge-hosted applications in private networks, achieving end-to-end latencies suitable for tactile scenarios.

Entertainment

Music

David Howell Evans, known professionally as , is an Irish-born English guitarist and songwriter born on August 8, 1961, in Barking, , . He acquired his stage name in 1976 upon joining the formative lineup of , reportedly due to his prominent chin and sharp facial features as perceived by bandmates. As 's lead guitarist since the band's inception, The Edge pioneered minimalist guitar techniques emphasizing spatial effects, particularly digital delay set to a dotted eighth-note , which created expansive, rhythmic layers integral to 's stadium-rock sound on albums like (released March 9, 1987), which has sold over 25 million copies worldwide. His delay-heavy approach, often using units like the SDD-3000, minimized chord complexity while maximizing atmospheric impact, influencing subsequent rock guitarists. Graeme Edge (March 30, 1941 – November 11, 2021) served as the founding drummer and percussionist for , contributing to their shift toward . On the band's breakthrough album (released November 1967), Edge provided spoken-word poetry segments that framed the symphonic concept album's themes of time and introspection, bridging rock instrumentation with orchestral elements composed by the London Festival Orchestra. His percussive style, emphasizing dynamic builds and unconventional rhythms, supported the Moody Blues' fusion of classical and rock, with the album achieving enduring commercial success through hits like "Nights in White Satin." The band , formed in 1989 by multi-instrumentalist , debuted with Nothing but Death Remains on July 9, 1991, establishing a raw, aggressive sound rooted in early traditions. The group's discography evolved toward progressive and experimental , as seen in the 40-minute single-track opus (1996), which eschewed vocals for narrative-driven instrumentation and garnered cult acclaim for its ambition within the genre. Instrumental track "The Edge," composed by David Axelrod and performed by actor-musician David McCallum on his 1967 album Music: It's Happening Now, features tense, orchestral strings and percussion evoking suspense, later sampled extensively in hip-hop, including Dr. Dre's "The Next Episode" (1999). This lounge-jazz piece exemplifies 1960s easy-listening experimentation with edge-of-tension motifs.

Film, Radio, and Television

The Edge (1997) is an American survival thriller directed by from a screenplay by , starring as a and as a who survive a plane crash in the Alaskan wilderness. Released on September 26, 1997, by 20th Century Fox, the film had a production budget of $30 million and earned $27.9 million domestically alongside $43.3 million worldwide at the . It received mixed critical reception, holding a 63% approval rating on based on 49 reviews, with praise for its tense action sequences but criticism for character dynamics. In television, was a long-running American daytime created by Irving Vendig, debuting on on April 2, 1956, and continuing until November 28, 1975, before shifting to where it concluded on December 28, 1984, spanning nearly 29 years. Unlike typical soaps, it incorporated mystery and crime-solving elements centered on attorney Mike Karr and his associates in the fictional city of . The series aired weekdays, producing over 7,000 episodes during its run, and maintained consistent viewership in the daytime slot, though exact metrics vary by era due to limited Nielsen data from early decades. The Edge (1992–1993) was a short-lived sketch comedy series on , created and executive-produced by , airing 17 episodes from September 19, 1992, to May 2, 1993. Featuring performers like and , it specialized in absurd, non-sequitur sketches and , including parodies of commercials and surreal vignettes, but struggled with ratings and was canceled after one season. On radio, "The Edge" branding emerged in the late 1980s for formats, pioneered by Jacobs Media in 1988 with stations like Buffalo's WEDG adopting a high-energy of , , and emerging rock acts to target younger audiences amid radio's shift from top-40 dominance. Examples include Phoenix's KEDJ (101.1 ), which launched the format in January 1993 and became a local staple for alt-rock promotion until format changes in the , and Minneapolis's 93.7 The Edge, which briefly ran from 1993 before evolving. These stations innovated with tight playlists, concert tie-ins, and DJ-driven discovery of acts like Nirvana and [Pearl Jam](/page/Pearl Jam), contrasting looser competitors. The has aired radio dramas incorporating "Edge" themes, such as the 2023 anthology On the Edge and Other Stories: 11 BBC Radio Thrillers, featuring original suspense tales by writers including Neil McKay, broadcast on with atmospheric emphasizing psychological tension over visual effects. Earlier, Fear on Four episodes like "The Edge" (1980s) delivered horror narratives via and effects, maintaining the medium's tradition of intimate, imagination-driven .

Video Games

In video game graphics rendering, techniques identify object boundaries to apply , reducing jagged artifacts known as that arise from sampling discrete pixels for continuous curves and diagonals. These methods, such as subpixel morphological anti-aliasing (SMAA), analyze , color, or depth gradients along edges for targeted smoothing, with roots in early 3D graphics advancements from the 1980s onward. The puzzle-platformer , released in December 2008 by French developer Mobigame for and later PC, centers on maneuvering a rolling through isometric mazes of geometric platforms, requiring precise control over edge clinging and jumps to avoid falls and obstacles. It received acclaim for innovative mobile controls and won the Milthon Award for Best Mobile Game at the 2008 Festival de Jeu Vidéo. Mirror's Edge, developed by and published by on November 11, 2008, for , , and Microsoft Windows, introduced first-person mechanics emphasizing fluid momentum-based traversal, including edge-running, wall-jumps, and precise ledge grabs across urban rooftops. The game's runner vision mode highlights viable edges and paths in red for intuitive navigation, influencing subsequent titles in movement-focused design. It sold about 1.1 million units worldwide by February 2009. Platforming mechanics involving edge interaction, as in , prioritize physics simulation for realistic falls and recoveries, contrasting momentum-driven jumps in series like , where ledge detection enables mid-air adjustments but emphasizes speed over precision clinging. Such features enhance replayability in action-adventure games by demanding spatial awareness at boundaries.

Organizations

Intellectual and Research Foundations

The Edge Foundation, established in 1988 by literary agent John Brockman, facilitated intellectual discourse through its online platform edge.org, emphasizing direct exchanges among scientists, mathematicians, and other scholars to advance a "third culture" of empirical inquiry outside traditional academic silos. From 1998 to 2018, the foundation organized annual "Edge Questions," posing targeted prompts to an invite-only cohort of approximately 100-200 contributors per year, yielding over 2,000 published responses aggregated into digital archives and print anthologies such as What We Believe But Shouldn't (2005) and This Will Make You Smarter (2012). These outputs, featuring responses from figures like cognitive psychologist on topics ranging from cognitive biases to technological futures, garnered citations in academic and popular media, influencing debates on , , and scientific methodology by prioritizing provocative, data-driven contrarianism over consensus narratives. Publication metrics for Edge's anthologies include sales exceeding 100,000 copies for select titles through imprints like , alongside online readership metrics tracking millions of views per question cycle, as self-reported by the foundation prior to its dormancy. The initiative's influence extended to shaping public intellectual discourse, evidenced by cross-references in works like Pinker's The Better Angels of Our Nature (2011), where Edge-style inquiries informed analyses of violence trends via first-principles historical data. However, following Jeffrey Epstein's 2019 arrest and death—after providing over $500,000 in funding to the foundation since the early —edge.org ceased active updates, with Brockman redirecting efforts to his literary agency amid scrutiny over donor ties. Critics have highlighted funding dependencies as compromising source credibility, arguing Epstein's financial leverage via Brockman's network introduced potential conflicts, particularly given the financier's documented associations with scientific elites. Selection processes for contributors, reliant on Brockman's personal of high-profile contrarians, exhibited biases toward evolutionary psychologists and techno-optimists, sidelining broader academic representation and favoring views skeptical of institutional orthodoxies in fields like social sciences. This curation, while yielding empirically grounded challenges to prevailing dogmas—such as critiques of nurture-over-nature paradigms supported by twin studies and genetic data—has been faulted for amplifying a narrow ideological spectrum, potentially undermining the foundation's claim to pluralistic inquiry.

Other Organizations

The EDGE Group is a United Arab Emirates-based advanced technology conglomerate specializing in defense and solutions, formed through the 2019 merger of 25 entities under the oversight of Developmental Holding Company. It operates across sectors including , , land systems, and cyber capabilities, with a focus on developing disruptive technologies for applications. As of 2025, the group has expanded internationally, establishing manufacturing facilities in for munitions and in for precision components. EdgeConneX is a global provider of purpose-built data centers optimized for and hyperscale demands, founded in 2009 by and Randall Brouckman. The company operates over 80 facilities across more than 50 markets, delivering high-powered proximate to end-users to minimize in . In 2019, it received investment from EQT Infrastructure, supporting further growth in digital ecosystems. The Edge Sports Group is a U.S.-based organization dedicated to developing integrated sports facilities and ecosystems through public-private partnerships, headquartered in . It designs multi-use venues combining athletic training, entertainment, and community commerce, such as the Boston Sports Institute, to create self-sustaining hubs for local sports programs. In 2024, the group secured a facilities management agreement for the Mosaic Quarter development, emphasizing year-round access for youth and professional athletics. The EDGE Funders is an international of approximately 500 , foundation officers, and advisors from over 40 countries, established in 2012 to mobilize resources toward social, economic, and ecological systemic change. Focused on aligning with activist movements, it hosts annual conferences—such as the 2025 event in on —to foster donor commitments to justice-oriented initiatives, though evaluations of long-term causal impacts on targeted outcomes remain limited in public data.

People

Musicians and Performers

David Howell Evans, professionally known by his stage name , has served as the lead guitarist and backing vocalist for the rock band since its formation in 1976. Born on August 8, 1961, in Barking, , , Evans relocated to , , as a child and adopted his nickname from schoolmates who remarked on his prominent forehead resembling the edge of a . His guitar playing emphasizes minimalist, effects-driven techniques, particularly the use of modulated delay pedals—such as the SDD-3000—to generate cascading repeats and apparent infinite sustain, creating a signature shimmering texture that defines U2's sound on tracks like "Where the Streets Have No Name" and "." U2, with The Edge as a core member, has received 22 , the most for any group, including Album of the Year for (1987) and How to Dismantle an Atomic Bomb (2006). Graeme Charles Edge, born March 30, 1941, in , , , co-founded the progressive rock band in 1964 and performed as their drummer until his death on November 11, 2021, from cancer at age 80. Edge contributed not only percussion but also spoken-word poetry and atmospheric spoken introductions to the band's albums, enhancing their symphonic rock aesthetic on releases like Days of Future Passed (1967), which featured the hit "Nights in White Satin." His work with spanned over five decades, including 16 studio albums, and he occasionally led side projects like the Graeme Edge Band in the 1970s. Thomas Edward Wisse, known professionally as Damon Edge, was an American musician born November 12, 1949, in , who founded the band in in 1976 alongside guitarist Helios Creed. Edge handled vocals, synthesizers, and production for Chrome's output, blending , , and tape manipulation into an abrasive, proto-industrial sound on albums such as Alien Soundtracks (1977) and Half Machine Lip Moves (1979). He released solo material and founded the Siren Records label before relocating to Europe in 1983, continuing under the Chrome moniker until his death from on August 11, 1995, in .

Other Notable Individuals

Selwyn Francis Edge (29 March 1868 – 12 February 1940) was an Australian-born motoring executive and racing enthusiast who advanced early automotive competition in Britain. After moving to London in the 1890s, he managed the British agency for Panhard et Levassor vehicles and competed in events like the 1899 Paris-Marseille-Paris race, promoting endurance trials to demonstrate car reliability. Edge later directed sales and racing for the Napier company, overseeing successes such as the 1902 Ardennes Cup victory and the 1905 land speed record of 104.65 mph set by a Napier at Daytona Beach under his sponsorship. In 1907, he personally drove a 60 hp Napier at the newly opened Brooklands circuit for 24 hours, averaging 66 mph to establish a world distance record that endured for years. Rosalie Barrow Edge (3 December 1877 – 28 November 1962) was a New York-based activist who challenged mainstream conservation groups over predator extermination policies. In 1929, she established the Emergency Conservation Committee as a one-woman advocacy operation, producing pamphlets that exposed corruption in wildlife agencies and lobbied against bounties on hawks and eagles favored by hunting organizations. Edge sued the National Audubon Society in 1930 for mailing list access after it blocked her critiques, forcing reforms that ended tolerance for raptor killings on Audubon lands and influenced the creation of Hawk Mountain Sanctuary as a predator refuge. Her campaigns extended to national parks, pressuring the Interior Department to halt predator control in areas like , established in 1938 partly due to her advocacy against timber and grazing interests.

Places

Geographical Features

Knife-edge ridges are narrow, sharply crested landforms typically formed through glacial or differential of resistant rock layers, such as , separating adjacent valleys or slopes. These features exhibit steep sides and minimal width, often resulting from parallel glacial action that sharpens intervening spurs into thin crests. In the , for instance, Knife's Edge via the features a prominent ridge offering views of surrounding peaks and valleys, characterized by exposed rock surfaces. Similarly, the Knife Edge Ridge in New Mexico's rises as a formation above dramatic cliffs, exemplifying tectonic uplift combined with erosional honing over millions of years. Glacial edges, particularly at the termini of ice shelves and tidewater glaciers, represent dynamic boundaries where mechanical fracturing leads to calving—the detachment and flotation of ice chunks into surrounding waters. In , these edges have driven substantial ice loss, with analyses indicating that from 1997 to 2021, calving accounted for approximately half of the net mass reduction in ice shelves, comparable to basal melting rates influenced by ocean currents. Prominent examples include the Thwaites Glacier's ice front, where precarious slabs along twisted gorges calve irregularly, contributing to sea-level rise potential through episodic large-scale events. Calving frequency and scale are modulated by factors like propagation and flexure, as observed in 47 years of satellite-derived data showing tabular releases from shelves. Escarpments and cliffs termed "edges" arise from tectonic faulting, uplift, and prolonged , creating abrupt vertical drops over vast plains. in Saudi Arabia's Escarpment, a 300-meter-high, 700-meter-long cliff of and , exemplifies such a feature, formed during the through movements and subsequent fluvial incision. Geological surveys reveal the site's composition includes sedimentary layers from ancient marine environments, overlaid by wind-eroded caprocks, highlighting causal links between and arid . In geophysical exploration, seismic identifies subsurface fault lines—sharp discontinuities in rock strata—by processing reflection data to highlight gradients and structural boundaries. Techniques involving volumetric derivatives or attributes delineate these edges, aiding in mapping small-throw faults overlooked in raw seismic volumes. For example, methods integrating Hough transforms or convolutional neural networks enhance fault on time slices, with applications in hydrocarbon reservoirs where edge evidence from integrals sharpens delineations amid noise. Recent workflows combine super-attributes with classifiers to automate detection, improving accuracy over traditional variance-based approaches.

Settlements and Institutions

, located in , , , was founded in 1885 as Edge Hill College, the first non-denominational teacher training institution for women in the country. It gained university status in 2006 and enrolls 15,299 students across undergraduate and postgraduate programs. , a private Catholic institution in , , was established in 1927 by the Dominican Sisters of Sinsinawa as a junior college for women offering a two-year liberal arts curriculum. It expanded to four-year programs and now provides undergraduate and graduate degrees on a 55-acre campus. Edge Hall, a Grade II* listed country house in the of , , , dates to circa 1600 and served as the ancestral seat of the Dod family from at least the 12th century. The estate features and remains a significant historical structure in the region.

Sports

Techniques and Equipment

In , edges denote the curved paths traced by the skate blade's inside or outside portions during glides and turns, enabling precise control and aesthetic figures. Inside edges involve the blade's inner side relative to the skater's body, producing arcs, while outside edges use the outer side for arcs; these techniques, formalized in the late amid the sport's transition from rudimentary tracing to competitive artistry, demand ankle flexion and weight distribution to maintain lean without falling inward or outward. Biomechanical analyses reveal that effective edge usage minimizes ice friction during propulsion, with skaters typically landing jumps on the right back outside edge after counter-clockwise rotations to optimize transfer and reduce joint torque on the landing leg. Ice hockey employs edge work as a foundational skating technique, where players alternate inside and outside edges to generate lateral forces for quick direction changes, , and deceptive moves. Drills such as figure-eight patterns around cones emphasize edge transitions, enhancing stride efficiency by increasing the effective push-off and reducing energy loss to slippage; podiatric studies link proficient edge control to greater forward through optimized ground reaction forces in the stride. In goaltending, the crease's boundary lines—often termed its edges—define a protected semi-circular zone extending 6 feet from each goalpost and 4 feet outward, restricting interference to preserve the goalkeeper's positioning for lateral slides and poke checks. Ski edges, the sharpened steel runners along a ski's , facilitate and by biting into or when tilted, with base bevels typically set at 0.5–1 and side edges at 1–3 degrees for alpine skis to balance hold and release. Parabolic sidecuts—progressively narrower tips and tails—increase effective edge length under load, allowing tighter turn radii at high speeds; performance data from edge sharpness tests show that tuned edges (e.g., via files to remove burrs) can improve turning responsiveness by enhancing lateral coefficients on hardpack, though excessive sharpness risks chatter on variable terrain. In fencing disciplines like , edges contribute to cutting validity alongside the point, requiring during thrusts or slashes to register touches on conductive strips; techniques emphasize in parries and binds to counter opponent without dulling via flat impacts, preserving the weapon's triangular cross-section for penetration. drills isolate edge control to refine pronation/supination, correlating with faster recovery times in bouts by minimizing deviation under opposition pressure.

Competitions and Teams

In professional wrestling, Edge & Christian was a tag team formed by wrestlers Adam Copeland (Edge) and Jay Reso (Christian), competing primarily in the World Wrestling Federation (WWF, later WWE) from 1998 to 2001. The duo secured the WWF/WWE World Tag Team Championship on seven occasions, including notable victories in Tables, Ladders, and Chairs (TLC) matches against rivals such as the Hardy Boyz and Dudley Boyz. Their success contributed to WWE's recognition of them as one of the most influential tag teams of the Attitude Era, with multiple defenses in high-stakes events like SummerSlam 2000 and WrestleMania 2000. In indoor American football, the Bloomington Edge operated as a professional team based in , from 2007 to 2019, competing across leagues including the Continental Indoor Football League (CIFL), (IFL), and (CIF). During their IFL stint from 2009 to 2012, the Edge posted a winning regular-season record annually, highlighted by playoff appearances and a 10-4 finish in 2010. The team folded after the 2019 season amid league realignments and financial challenges common to indoor football franchises. In esports, Edge functions as a competitive organization in , established in April 2025 with a South American roster formerly known as Mosquito Clan. The has participated in tournaments, achieving a 12th-place finish at PGL Season 5 in June 2025 for $15,000 in prize money and a 15th-place result at DreamLeague Season 26 in May 2025. Their record includes 7 wins in 25 matches across six events as of mid-2025, focusing on regional qualifiers and international group stages.

Other Uses

[Other Uses - no content]

References

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    A line segment where two faces of a polyhedron meet, also called a side.
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