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 You can see more of his works in Do not miss his Stick Figure Museum.

The contents of MatematicasVisuales has been developed by Roberto Cardil.

matematicasVisuales has a page in Facebook. If you likes this site, go into and share matematicasVisuales.

Loci has published my article Kepler:The volume of a wine barrel. Loci is a publication of the Mathematical Asociation of America (MAA). It is the journal of the Matematical Science Digital Library (MathDL). Thanks to Janet Beery, editor of Loci, for her help and encouragement. They has also choosen Taylor Polynomials - Exponential Functions as a resource in his Course Communities in Undergraduate Mathematics.
The Math Forum @ Drexel maintains an Internet Mathematics Library and they have chosen MatematicasVisuales as Hot Spot for the month of August, 2010.
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.
This site matematicasVisuales has been linked as an online resource in The Electronic Journal of Mathematics and Technology. (September, 2012)

1st February 2016

Geometry: Plane net of an octahedron
Plane developments of geometric bodies: Octahedron | matematicas visuales
The first drawing of a plane net of a regular octahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .

18th January 2016

History: Leonardo da Vinci
Leonardo da Vinci:Drawing of an octahedron made to Luca Pacioli's De divina proportione. | matematicas visuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the octahedron.

31st December 2015

Complex Update: Multiplication of Complex Numbers
The product as a complex plane transformation | matematicas visuales
The multiplication by a complex number is a transformation of the complex plane: dilative rotation.

7th December 2015

Complex Update: Multiplication of Complex Numbers
Multiplying two complex numbers | matematicas visuales
We can see it as a dilatative rotation.

16th November 2015

Analysis Update: Geometric sequences
Geometric sequence | matematicas visuales
Geometric sequences graphic representations. Sum of terms of a geometric sequence and geometric series.

2nd November 2015

History: Durer and transformations of faces
Durer and transformations | matematicas visuales
He studied transformations of images, for example, faces.

28th September 2015

Geometry: Polyhedra
Duality: cube and octahedron. Taller de Talento Matemático de Zaragoza, Spain. 2015-2016 XII edition (Spanish) | matematicas visuales
Material for a sesion about polyhedra (Zaragoza, 23rd Octuber 2015) . Building a cube with cardboard and an origami octahedron.

21th September 2015

Geometry: Triangles
John Conway's proof of Morley's Theorem | matematicas visuales
Interactive animation about John Conway's beautiful proof of Morley's Theorem

14th September 2015

Geometry Updates: Triangles
The deltoid and the Morley triangle | matematicas visuales
Steiner Deltoid and the Morley triangle are related.

7th September 2015

Geometry Updates: Triangles
Morley Theorem | matematicas visuales
The three points of intersection of the adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle (Morley's triangle)

29th June 2015

Geometry Updates: Triangles
Steiner deltoid | matematicas visuales
The Simson-Wallace lines of a triangle envelops a curve called the Steiner Deltoid.

8th June 2015

Geometry Updates: Triangles
Wallace-Simson lines | Demonstration | matematicas visuales
Interactive demonstration of the Wallace-Simson line.

6th April 2015

Geometry: Spirals
Equiangular spiral through two points | matematicas visuales
There are infinitely many equiangular spirals through two given points.

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