matematicas visuales visual math

 

In MatematicasVisuales you will find visual expositions of mathematical concepts.

MatematicasVisuales intends to complement the work initiated by artiludios, a site with games, puzzles and mathematical curiosities.

Reading Miguel de Guzmán I found a demonstration of the line of Simpson and the Steiner Deltoid. It serves as an introduction to the geometry section.

The concept of function and its graphical representation are a key concept and we dedicate special attention to it in the analysis section.

Geometric representation of the complex numbers facilitates its visualization. The representation of complex functions usually needs dimension fourth. Sometimes, this difficulty is avoided using colors with which useful and attractive representations are obtained.

Thinking in who have to start learning probability we have this section about this subject.

In the history section we approach mathematics through its history. I try to present the origin and growth of some mathematical concepts.

Miguel Cardil made the design of matematicasvisuales.com. You can see more of his works in www.mcardil.com. Do not miss his Stick Figure Museum.

The contents of MatematicasVisuales has been developed by Roberto Cardil.


This site MatematicasVisuales has been selected in 2009/11/16 as a "Cool Math Site of the Week" in the project "Knot a Braid of Links" of the Canadian Mathematical Society. It is Knot 374.


26th July 2010

Geometry
The volume of the tetrahedron (new version) | matematicas visuales
The volume of a tetrahedron is one third of the prism that contains it.

15th July 2010

Complex Functions
Multifunctions: Powers with fractional exponent | matematicas visuales
The usual definition of a function is restrictive. We may broaden the definition of a function to allow f(z) to have many differente values for a single value of z. In this case f is called a many-valued function or a multifunction.

11th June 2010

Geometry
The icosahedron and its volume | matematicas visuales
The twelve vertices of an icosahedron lie in three golden rectangles. Then we can calculate the volume of an icosahedron

7th June 2010

Geometry
Hexagonal section of a cube | matematicas visuales
We can cut in half a cube by a plane and get a section that is a regular hexagon. Using eight of this pieces we can made a truncated octahedron.
A truncated octahedron made by eight half cubes | matematicas visuales
Using eight half cubes we can make a truncated octahedron. The cube tesselate the space an so do the truncated octahedron. We can calculate the volume of a truncated octahedron.

2nd June 2010

Analysis
Sum of a geometric series of ratio 1/2 | matematicas visuales
The geometric series of ratio 1/2 is convergent. We can represent this series using a rectangle and cut it in half successively. Here we use a rectangle such us all rectangles are similar.

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