Search results

In mathematics, a de Rham curve is a continuous fractal curve obtained as the image of the Cantor space, or, equivalently, from the base-two expansion...

Georges de Rham (French: [dəʁam]; 10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology...

equestrian DeRham Farm in Philipstown, New York De Rham, Iselin & Moore De Rham curve De Rham cohomology De Rham invariant De Rham–Weil theorem Hodge–de Rham spectral...

case of a de Rham curve. The de Rham curves are mappings of Cantor space into the plane, usually arranged so as to form a continuous curve. Every point...

resemblance to a Blancmange pudding. It is a special case of the more general de Rham curve. The blancmange function is defined on the unit interval by blanc ⁡...

B-spline Blancmange curve De Rham curve Dragon curve Koch curve Lévy C curve Sierpiński curve Space-filling curve (Peano curve) See also List of fractals...

as a representative curve in the same class as the Koch curve. It is a special case of a period-doubling curve, a de Rham curve. If using a Lindenmayer...

constriction is given in the article on the de Rham curve: one uses the same technique as the de Rham curves, but instead of using a binary (base-2) expansion...

Reuleaux triangle Blancmange curve De Rham curve Dragon curve Koch curve Lévy C curve Peano curve Sierpiński curve Visual Dictionary of Special Plane Curves...

polymer molecules all relate to fractal curves. Blancmange curve Coastline paradox De Rham curve Dragon curve Fibonacci word fractal Koch snowflake Boundary...

number. For such an iteration the Julia set is not in general a simple curve, but is a fractal, and for some values of c it can take surprising shapes...

fractal curves have a self-symmetry described by it (the de Rham curve, of which the question mark is a special case, is a category of such curves). The...

Blancmange curve Cantor dust Cantor set Cantor tesseract[citation needed] Circle inversion fractal De Rham curve Douady rabbit Dragon curve Fibonacci word...

the dyadic monoid; additional examples can be found in the article on de Rham curves. Other fractals possessing self-similarity are described with other...

known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of...

remarkably complicated structure. One particular notable example is the de Rham curve. The set of all functions f: X → X is called the full transformation...

The Minkowski sausage or Minkowski curve is a fractal first proposed by and named for Hermann Minkowski as well as its casual resemblance to a sausage...

mesh method, relying on the construction of some special case of a de Rham curve, e.g., midpoint displacement. For instance, the algorithm may start...

variety X in characteristic p is the de Rham cohomology of a smooth lift of X to characteristic 0, while de Rham cohomology of X is the crystalline cohomology...

isomorphic to the derived de-Rham complex. The de Rham–Witt complex is, in very rough terms, an enhancement of the de Rham complex for the ring of Witt...