# Difference between revisions of "Showcases"

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* [[Euler line]], [[Euler line II]] | * [[Euler line]], [[Euler line II]] | ||

* [[Displaying GEONExT constructions]] | * [[Displaying GEONExT constructions]] | ||

+ | * [[Displaying constructions with math syntax]] | ||

* [[Apollonian circle packing]] | * [[Apollonian circle packing]] | ||

* [[Trigonometric functions]] | * [[Trigonometric functions]] |

## Revision as of 16:10, 21 March 2010

## Contents

### Various topics

- "Infinity"
- Snake - the game
- Circles on circles using jQuery sliders
- Colorful circles
- The HSV color scheme (hue, saturation and value)

### Charts

- Animated age pyramid
- German election 2009
- Google style chart
- Dynamic bar chart
- Pie chart
- Spline chart with special highlight
- Charts from HTML tables
- Charts from HTML tables - tutorial
- Different chart styles
- Display stock quotes from Yahoo!
- Map with German administrative districts
- Real-time graphing
- Time series II
- Data plot
- All examples from Category:Charts

### Geometry

- Euler line, Euler line II
- Displaying GEONExT constructions
- Displaying constructions with math syntax
- Apollonian circle packing
- Trigonometric functions
- Approximation of the circle area
- Circle approximation
- Five Circle Theorem
- Circum circles of subtriangles
- Tangents on circle
- Sine and cosine
- All examples from Category:Geometry

### Statistics

- Random points
- Data plot of live data via AJAX
- Analyze data with the Statistics software R
- Time series forecasting: double exponential smoothing
- Polynomial regression I, Polynomial regression II

### Calculus and function plotting

- Power Series for sine and cosine
- Lagrange interpolation
- Simple function plotter, Parametric curve plotter, Polar curve plotter
- Rational functions
- Riemann sums, Riemann sum II, Riemann sum III, Arc length, Continuous functions
- Cubic spline interpolation
- Newton's root finding method
- Interpolation: Neville's algorithm
- Population growth models
- All examples from Category:Calculus

### Curves

- Hypotrochoid
- Limaçon of Pascal
- Watt's curve
- Archimedean spiral
- Lissajous curves
- Bezier curves
- Bezier curves II
- All examples from Category:Curves

### Fractals

- Sierpinski triangle
- Koch curve
- All examples from Category:Fractals, see also Turtle Graphics and L-systems

### Turtle Graphics

- n-gones
- L-systems, or Lindenmayer Systems
- Epidemiology: The SIR model (Simulation of differential equations with turtle graphics)
- SIR model: swine flu
- Turtle spiral
- Random walks
- All examples from Category:Turtle Graphics