In chemistry, a hypercycle is an abstract model of organization of self-replicating molecules connected in a cyclic, autocatalytic manner. It was introduced...

In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight...

Hypercycle may refer to: Hypercycle (chemistry), a kind of reaction network prominent in a theory of the self-organization of matter Hypercycle (geometry)...

that are all the same distance from a given line lie on a curve called a hypercycle. Another special curve is the horocycle, whose normal radii (perpendicular...

Eigen, M; Schuster, P (1977). "The hypercycle: a principle of natural self-organization. A: emergence of the hypercycle". Naturwissenschaften. 64 (11): 541–565...

(Hypercycle/Virgin, 1992) "Proze & Cons" (Hypercycle/Virgin, 1993) "Into the Light" (Hypercycle/Virgin, 1993) "Gotta Get Back (2 Love)" (Hypercycle/Virgin...

error threshold, error catastrophe, Eigen's paradox, and the chemical hypercycle, the cyclic linkage of reaction cycles as an explanation for the self-organization...

Eigen, M; Schuster, P (1977). "The hypercycle: a principle of natural self-organization. A: emergence of the hypercycle". Naturwissenschaften. 64 (11): 541–565...

points that are equidistant from and on one side of a given line form a hypercycle (which is a curve not a line). Equidistant set Clapham, Christopher; Nicholson...

four types: geodesics with curvature κ = 0 , {\displaystyle \kappa =0,} hypercycles with curvature 0 < | κ | < 1 , {\displaystyle 0<|\kappa |<1,} horocycles...

The chemoton is just one of several theories of life, including the hypercycle of Manfred Eigen and Peter Schuster, which includes the concept of quasispecies...

the Class of 2024". Haigazian University. 11 June 2024. "About HyperCycle.ai". HyperCycle.ai. 9 June 2023. "زياد حايك يُعلن ترشّحه لرئاسة الجمهورية: درب...

distinct types of generalized circles or cycles: circles, horocycles, hypercycles, and geodesics (or "hyperbolic lines"). In the Poincaré disk model, all...

projection of the sphere it projects generalized circles (geodesics, hypercycles, horocycles, and circles) in the hyperbolic plane to generalized circles...

Eigen, M; Schuster, P (1977). "The hypercycle: a principle of natural self-organization. A: emergence of the hypercycle". Naturwissenschaften. 64 (11): 541–565...

between the molecular chaos and a self-replicating hypercycle in a prebiotic soup. In a hypercycle, the information storing system (possibly RNA) produces...

Peter (November 1977). "The Hypercycle. A Principle of Natural Self-Organization. Part A: Emergence of the Hypercycle" (PDF). Naturwissenschaften. 64...

Championship Position: First Place (2002) Team(s): American Honda, Erion Honda, HyperCycle Suzuki Motorcycle(s): Honda CBR600F3, Honda CBR600F4, Suzuki GSX-R600...

surface. It can be used for surface fitting and for defining offset surfaces. Distance between sets Hypercycle (geometry) Moment of inertia Signed distance...

infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli...

honeycomb {7,3,3}; they are inscribed in an equidistant surface (a 2-hypercycle), which has two ideal points. Another group of regular polyhedra comprise...

circumscribed circle (see below). Its vertices can lie on a horocycle or hypercycle. Hyperbolic triangles have some properties that are analogous to those...

epicycle, epicycloid, hemicycle, hemicyclium, heterocyclic, homocyclic, hypercycle, hypocycloid, isocyclic, mesocyclone, monocyclic, polycyclic, pseudocyclosis...

infinite cell consists of a pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli...

Qbeta, the Miller–Urey experiment, Spiegelman's Monster and the possible hypercycle of DNA, RNA, and enzymes which work together to support each other in...

also be proven for hyperbolic triangles, for which the apex lies on a hypercycle. Given a fixed base A B , {\displaystyle AB,} an arc of a great circle...

hyperbolic Laguerre transformations that map a circle to a horocycle to a hypercycle and converge towards a line. This uses the split-complex numbers....

Rosser, Jr. in 1991 (Chap. 12). It involves combining the idea of the hypercycle, an idea due to Manfred Eigen and Peter Schuster (1979) with that of morphogenesis...

infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli...

infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli...