# Difference between revisions of "Showcases"

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− | * [[Power Series]] | + | ===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]] | ||

+ | * [[Limacon|Limaçon of Pascal]] | ||

+ | * [[Watt curve|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==== | ||

+ | * [[Intersection of curves I]] | ||

+ | * [[Intersection of curves II]] | ||

+ | * [[Intersection of functiongraphs]] | ||

+ | |||

+ | ===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"]] | * [["Infinity"]] | ||

− | * [[ | + | * [[Fullscreen mode]] |

− | * [[ | + | * [[Snake - the game]] |

− | * [[ | + | * [[Circles on circles]] using jQuery sliders |

− | * [[ | + | * [[Colorful circles]] |

− | * [[ | + | * [[The HSV color scheme]] (hue, saturation and value) |

+ | * [[Stomachion]] | ||

+ | * [[Tangram]] |

## Latest revision as of 13:31, 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