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.
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matematicasVisuales has a page in Facebook. If you likes this site, go into and share matematicasVisuales.
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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.
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The Math Forum @ Drexel maintains an Internet Mathematics Library and they have chosen MatematicasVisuales as
Hot Spot for the month of August, 2010.
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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.
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This site matematicasVisuales has been linked as
an online resource in The Electronic Journal of Mathematics and Technology.
(September, 2012)
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Convergence: Where Mathematics, History, and Teaching Interact,is a digital publication of the
Mathematical Association of America. In 2022 they published my article
Kepler and the Rhombic Dodecahedron.
Thanks to the editors of Convergence, Amy Ackerberg-Hastings, Janet Heine Barnett, for their support.
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28th February 2022
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Tetraxis is a wonderful puzzle designed by Jane and John Kostick. We study some properties of this puzzle and its relations with the rhombic dodecahedron. We can build this puzzle using cardboard and magnets or using a 3D printer.
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7th January 2019
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Kepler was one mathematician who contributed to the origin of integral calculus. He used infinitesimal techniques for calculating areas and volumes. In this page we study one optimization problem.
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12th November 2018
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If a hexagon is inscribed in a circle, the three pairs of opposite sides meet in collinear points.
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14th May 2018
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Durer was the first who published in german a method to draw ellipses as cone sections.
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Durer made a mistake when he explanined how to draw ellipses. We can prove, using only basic properties, that the ellipse has not an egg shape .
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7th May 2018
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The section of a cylinder by a plane cutting its axis at a single point is an ellipse. A beautiful demonstration uses Dandelin Spheres.
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2nd April 2018
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Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the augmented rhombicuboctahedron.
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We can see the interior of the augmented rhombicuboctahedron. Luca Pacioli wrote that you 'can see the interior only with your imagination'.
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Starting with a Rhombicubotahedron we can add pyramids over each face. The we get a beautiful polyhedron that it is like a star.
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12th February 2018
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This polyhedron is also called Elongated Square Gyrobicupola. It is similar to the Rhombicuboctahedron but it is less symmetric.
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29th January 2018
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Dynamic demonstration of the Pythagorean Theorem by Hermann Baravalle.
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8th January 2018
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Demonstration of Pythagoras Theorem inspired in Euclid.
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11th December 2017
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This perpective projection is area-preserving. If we know the surface area of a sphere we can deduce the volume of a sphere, as Archimedes did.
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27th November 2017
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Basic world map in a sphere. Latitude and longitude
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19th November 2017
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We study a kind of polyhedra inscribed in a sphere, in particular the Campanus' sphere that was very popular during the Renaissance.
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13th November 2017
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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.
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