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Mathematics

Here you can find a series of tutorials and worksheets I created using The Geometer's Sketchpad and GeoGebra.

Music:

Link Musical chord and scale calculator: An interactive diagram depicting musical intervals, chords and scales and component elements.
Link Frequency Doubling: A description of how the frequency of musical tones double as the number of octaves increases.

Art:

Link Color cube: A demonstration of the different color components used to create images on your computer monitor.
Link Sri Yantra: The Sri Yantra mandala.

Astronomy:

Link Geodetic Latitude: A description of geodetic latitude and its relationship to the Earth's surface. Also discusses "circles of latitude".
Download Planetarium: An animation showing the eight major planets of the solar system orbiting the sun.

Conic sections:

Link Bezier / Parabola: A demonstration showing that a Bezier curve is also a parabolic segment.
Link Parabola Construction: A demonstration showing how to trace a parabola.
Link Ellipse & Hyperbola Construction: A demonstration showing two methods of constructing the ellipse and hyperbola geometrically.
Download Ellipse from center and axes: A GeoGebra tool for creating ellipses from a center point and two axes.
Download Ellipse from center, segment and point: A GeoGebra tool for creating ellipses form a center point, a segment and a point on that segment.
Download Hyperbola from center, segment and point: A GeoGebra tool for creating hyperbolas from a center point, a segment and a point on that segment.
Download Parabola from vertex and focus: A GeoGebra tool for creating parabolas from the vertex and focus.
Download Ellipse from two points and eccentricity: A GeoGebra tool for creating ellipses from a center point, a vertex and an eccentricity value.

Other curves:

Link Beta Distributions: A great class of curves for generating smooth random distributions with known limits.
Link Quadratic Bezier Curve Construction: A demonstration showing how to construct a quadratic Bezier curve geometrically.
Link Cubic Bezier Curve Construction: A demonstration showing how to construct a cubic Bezier curve geometrically.
Link Lissajous Curves: A demonstration of how to trace Lissajous curves.
Link
Spirals: Some examples of different types of spirals.
Download Hermite spline: A GeoGebra tool for creating Hermite splines.

Surfaces:

Link
Parametric sphere with Euler rotations: A demonstration showing how to plot three-dimensional curves in GeoGebra and apply Euler rotation matrices to them. Curves are not drawn in perspective however.
Link
Metaballs: A description of different techniques used to create the class of surfaces known as metaballs or "blobs".

Trigonometry:

Link Trigonometric Functions: A worksheet showing the relationship between the trigonometric functions and the unit circle.
Link Triangle Components: A worksheet showing the various components of a triangle.
Download
Screenshot
Vectors: A demonstration of the different components of a vector, as well as several vector operations.
(Geometer's Sketchpad format.)

Other:

Link JavaScript/XML demo: GeoGebra demo showing JavaScript evaluation and XML modification inside an HTML page.
Download Download Download Download Angle & distance markers: Four GeoGebra tools for creating drafting-style angle and distance markers.
Download Peanu-Gosper curve: Six GeoGebra tools for creating Peanu-Gosper curves.

Creative Commons License
Listed works are licensed under a Creative Commons GNU Lesser General Public License License.

This page © Copyright 2009 Michael Horvath. Last modified: July 30 2010 04:44:23.