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.


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)


19th November 2017

Geometry: Campanus' sphere
Campanus' sphere and other polyhedra inscribed in a sphere | matematicas visuales
We study a kind of polyhedra inscribed in a sphere, in particular the Campanus' sphere that was very popular during the Renaissance.

13th November 2017

History: Leonardo da Vinci
Leonardo da Vinci:Drawing of a SEPTUAGINTA 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 Campanus' sphere.

25th September 2017

Geometry: Building polyhedra
Volumes of Pyramids, Tetrahedron and Octahedron. Taller de Talento Matemático de Zaragoza, Spain. 2017-2018 XIV edition (Spanish). | matematicas visuales
Material for a session about polyhedra (Zaragoza, el 20th October 2017). Instruction to build an origami tetrahedron.

18th September 2017

Probability: Normal Distributions
Normal Distributions: Probability of Symmetric Intervals | matematicas visuales
Calculating probabilities of symmetric intervals around the mean of a normal distribution.

11th September 2017

Probability: Normal Distributions
Normal Distributions: (Cumulative) Distribution Function | matematicas visuales
The (cumulative) distribution function of a random variable X, evaluated at x, is the probability that X will take a value less than or equal to x. In this page we study the Normal Distribution.

5th June 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (6): A Rhombic Dodecahedron inside and outside a cube | matematicas visuales
A chain of six pyramids can be turned inwards to form a cube or turned outwards, placed over another cube to form the rhombic dodecahedron.

15th May 2017

Geometry: Building polyhedra
Microarquitectura and polyhedra (Spanish) | matematicas visuales
Microarquitectura is a construction game developed by Sara San Gregorio. You can play and build a lot of structures modelled on polyhedra.

3rd May 2017

Geometry: Rhombic Dodecahedron
Rhombic Dodecahedron (5): Rhombic Dodecahedron is a space filling polyhedron | matematicas visuales
The Rhombic Dodecahedron fills the space without gaps.

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.

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