# Difference between revisions of "Showcases"

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* [[Discontinuous derivative]] | * [[Discontinuous derivative]] | ||

* [[Antiderivative]] | * [[Antiderivative]] | ||

+ | * [[n-th root]] | ||

* [[Lagrange interpolation]] and [[Cubic spline interpolation]] | * [[Lagrange interpolation]] and [[Cubic spline interpolation]] | ||

* [[Differential equations]] and [[Systems of differential equations]] | * [[Differential equations]] and [[Systems of differential equations]] |

## Latest revision as of 12:31, 2 April 2020

## Contents

### Geometry

- Euler line II
- Displaying GEONExT constructions
- Geometric constructions with JessieScript and Interactive JessieScript
- Three touching circles
- Apollonian circle packing
- Trigonometric functions
- Approximation of the circle area and Circle approximation
- Five Circle Theorem
- Circum circles of subtriangles
- Sine and cosine
- Two reflections I (parallel lines)
- Two reflections II (intersecting lines)
- Circle inversion and Poincare disc model (hyperbolic geometry)
- Reuleaux pentagon
- Rolling Reuleaux triangle
- Reflect images
- Intersection of circles
- All examples from Category:Geometry
- All examples from Category:Roulettes

### Statistics

- 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
- Least-squares circle fitting
- Least-squares line fitting

### Calculus and function plotting

- Newton's root finding method
- Power Series for sine
- Even simpler function plotter and Simple function plotter (JavaScript syntax), Parametric curve plotter, Polar curve plotter
- Rational functions
- Riemann sums, Riemann sum II, Riemann sum III, Arc length, Continuous functions, Riemann integrability
- Discontinuous derivative
- Antiderivative
- n-th root
- Lagrange interpolation and Cubic spline interpolation
- Differential equations and Systems of differential equations
- Population growth models
- Polar grid
- All examples from Category:Calculus

### Curves

- Hypotrochoid
- Limaçon of Pascal
- Watt's curve
- Archimedean spiral
- Lissajous curves
- Semicubical parabola
- Tschirnhausen Cubic Catacaustic
- B-splines, Bezier curves, Bezier curves II
- Circles on circles
- Polynomial curve of constant width
- All examples from Category:Curves

#### Intersection, Union, Difference

### Fractals

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

### Turtle Graphics

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

### Charts

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

### Various topics

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