9769
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Trigonometric Sums as Parametric Curves
Using trigonometric sums like
, you can generate very different curves in the plane.
The following four examples are used:
;
;
;
.
The first two examples are the interesting ones.
Contributed by:
Ralf Schaper
SNAPSHOTS
RELATED LINKS
Phase Plots of Trigonometric Functions
(
Wolfram Demonstrations Project
)
Riemann's Example of a Continuous but Nowhere Differentiable Function
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
"
Trigonometric Sums as Parametric Curves
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TrigonometricSumsAsParametricCurves/
Contributed by:
Ralf Schaper
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Simple Spline Curves
Richard Phillips and Rob Morris
Flower-like Parametric Plots
Zubeyir Cinkir
Designs for Ribbons and Friezes Based on Trigonometric Functions
Herbert W. Franke
Damped 3D Lissajous Figures
Ralf Schaper
Damped 2D Lissajous Figures
Ralf Schaper
Parametric Snowflake Design
The Demonstrations Project Team
Bézier Curve Flowers
Hein Hundal
Paperfolding Dragon Curve
Todd Rowland
Guilloché Patterns
Michael Schreiber
Extremal Trigonometric Polynomials
Oleksandr Pavlyk
Related Topics
Algebraic Curves
Art
Curves
Harmonic Analysis
Parametric Equations
Patterns
Trigonometric Functions
Visual Patterns
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+