wolfram mathematica plot 3d space curve from data

If styles(i)0), the curve #i is rendered as a When it is specified, it must be bundled withīy default, lines are drawn with colors indexed from 1 to nc in the current Vector of nc=size(Z,'c') integers specifying the style - line color or mark

X, Y, ZĮach column #i of the matrices provides the coordinates of the points for the KnotsEtc.3 vectors of the same length: cartesian coordinates of the curve's points. Wolfram Technology > Programming > 3D GraphicsĬomputer Aided Knot Theory Using Mathematica and Mathlink Mathematics > Discrete Mathematics > Graph Theory Updated by the author to KnotsEtc, June 17th, July 18th, July 24th, Aug. The curve is closed smoothly (creating a loop) if the first and last points coincide Originally SpaceCurvKnots, April 2005. The slope at each point is that between the neighbouring points, and a tension option (with linear interpolation corresponding to infinite tension) controls the shape. Local piece-wise cubic interpolation fits chords to smooth lines between sets of points with any number of coordinates. A1431 is knot number 1431 in The Ashley Book of Knots. Typical nomenclature: k08003, b08003 and kg08003 are the knot, the braid, and the knot graph corresponding to the knot called 08-003 or 8(subscript 3) elsewhere, as the third simple knot with eight crossings in the standard list.

Many aspects of knots are discussed, and the procedures are demonstrated, in a tutorial containing 44 examples. Elementary knot creation and basic knot-analysis procedures are supplied, together with a gallery of knot-graphs, a glossary and some key knot references (several on-line). many are illustrated.Ī small database is included the much larger K2K database can be accessed. Braids provide compact knot descriptors bends join two ropes hitches and binding knots are tied round posts etc. Mathematical knots and links are closed 3D lines that cannot be untangled without passing lines through lines. Their projections can be shown as 2D shadows, 2.5D knot diagrams, and 3D tubes using piece-wise cubic interpolation. are described by d-dimensional space-curves. Knots, braids, bends, links, hitches, weaves etc. Space-curves & Generalized Knots in Mathematica Finance, Statistics & Business Analysisįor the newest resources, visit Wolfram Repositories and Archives ».Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Data Framework Semantic framework for real-world data.

Wolfram mathematica plot 3d space curve from data