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)

3rd April 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (4): Rhombic Dodecahedron made of a cube and six sixth of a cube | matematicas visuales
You can build a Rhombic Dodecahedron adding six pyramids to a cube. This fact has several interesting consequences.

6th March 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (3): Pyramidated cube | matematicas visuales
Adding six pyramids to a cube you can build new polyhedra with twenty four triangular faces. For specific pyramids you get a Rhombic Dodecahedron that has twelve rhombic faces.

20th February 2017

Geometry: Building polyhedra
Resources 3d Printing: Cube and Octahedron | matematicas visuales
Building cubes and octahedra using 3d printing. Cube and Octahedron are dual polyhedra.

6th February 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (2): honeycomb minima property | matematicas visuales
We want to close a hexagonal prism as bees do, using three rhombi. Then, which is the shape of these three rhombi that closes the prism with the minimum surface area?.

16th January 2017

Geometry: Building polyhedra
Resources 3d Printing: Tetrahedron | matematicas visuales
Building tetraedra using 3d printing. The tetrahedron is a self-dual polyhedron. The center of a tetrahedron.

9th January 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (1): honeycombs | matematicas visuales
Humankind has always been fascinated by how bees build their honeycombs. Kepler related honeycombs with a polyhedron called Rhombic Dodecahedron.

5th December 2016

Geometry and Art: Bruno Munari
Resources: Acona Biconbi, designed by Bruno Munari  | matematicas visuales
Italian designer Bruno Munari conceived 'Acona Biconbi' as a work of sculpture. It is also a beautiful game to play with colors and shapes.

21st November 2016

Geometry: Building polyhedra
Resources: Building polyhedra gluing discs  | matematicas visuales
Simple technique to build polyhedra gluing discs made of cardboard or paper.

7th November 2016

Geometry: Curves
The Astroid is a hypocyclioid | matematicas visuales
The Astroid is a particular case of a family of curves called hypocycloids.

19th September 2016

Geometry: Polyhedra
The Cuboctahedron and the truncated octahedron. Taller de Talento Matemático de Zaragoza, Spain. 2016-2017 XIII edition (Spanish) | matematicas visuales
Material for a sesion about polyhedra (Zaragoza, 21st October 2016). Instructions to build several geometric bodies.

5th September 2016

Geometry: Curves
The Astroid as envelope of segments and ellipses | matematicas visuales
The Astroid is the envelope of a segment of constant length moving with its ends upon two perpendicular lines. It is also the envelope of a family of ellipses, the sum of whose axes is constant.

1st August 2016

Geometry: Ellipses
Ellipsograph or Trammel of Archimedes (2) | matematicas visuales
If a straight-line segment is moved in such a way that its extremities travel on two mutually perpendicular straight lines then the midpoint traces out a circle; every other point of the line traces out an ellipse.

4th July 2016

Geometry: Ellipses
Ellipsograph or Trammel of Archimedes | matematicas visuales
An Ellipsograph is a mechanical device used for drawing ellipses.

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