F U N O M E T R Y

In this video we can see at first, Donald was not interested in exploring the world of mathematics (he think that mathematics was for "crazy"). However, when the "Lord Spirit" suggests a connection between mathematics and music, Donald begins to become intrigued. Donald travels to Ancient Greece, where Pythagoras and his colleagues are discovering math's relationships. Pythagoras (playing the harp), a flutist, and a double bass player perform a "jam session", in which Donald intervenes by playing a vase as a bongo, because he wanted to put the group "rhythm". The music of Pythagoras, as explained by the Spirit, establishes the parameters of current music. Then, Donald finds in his hand a pentagram, the symbol of the secret society of the Pythagoreans. The Spirit explains to Donald how the mysterious golden number appears on the pentagram. Then, it is evident that the pentagram contains a pattern to construct several times golden reflec...

The origami or origami is an art of Japanese origin, which consists of folding paper without using scissors or glue to obtain figures of various shapes, many of which could be considered as paper sculptures. This is also a great help in education. It develops great benefits and great qualities both to students and to anyone who does it. Some of its benefits are: Develop manual dexterity, accuracy and precision, in addition to attention and concentration. Create spaces of personal motivation to develop creativity. Develop the creative capacity of each student. Provide moments of relaxation and distraction. Strengthening self-esteem through the development of their own creations. Ideally, they should start at an early age, and exercising the movement of the fingers of both hands is really a basis for bilateral development of the brain and the advancement of intellectual development. The work of coordination of both hands, the active work of intelligence and attention...

Who said that mathematics can not be interesting? Fractals like these may seem too perfect to be true, but they exist in nature. Plants are also examples of geometry and mathematics. If we look around us, we could imagine that branches, leaves and flowers grow randomly. However, the truth is that the points at which each branch, leaf, stem, bud or petal arise, have been established according to fixed laws and miraculously precise measures. There are patterns everywhere we look in the natural world, one of which is the Fibonacci sequence. The Fibonacci sequence is so simple it is almost disconcerting. Here each number is created by adding the previous two, so that from 1, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13, 8 + 13 = 21, etc. And so on to infinity. This sequence is so persistent in nature that it is a challenge to find a plant or fruit structure that does not conform to it. For example, the placement of the leaves along a stem is governed by the Fibonacci sequence, ensuring ...

The fascinating geometric rose that makes the dance of Venus with the Earth In several cultures, the planet Venus was associated with the beauty and harmony of the cosmos. When we see the figure that weaves the orbit of Venus in relation to the Earth, we can not stop thinking that there is a fabulous coincidence (or perhaps a sample of a mysterious intelligence). To paraphrase a famous Platonic dictum: "The universe geometrizes." These images show 8 years of the orbit of Venus or 5 synodic cycles, this is equal to 584 days. These are the days that it takes Venus to align with the Sun with respect to the Earth. "Synod" means "encounter", these are the five meeting points in a period of 8 years in which Venus intervenes between the Sun and the Earth. There is an amazing mathematical relationship in this, 8 orbits of the Earth coincide almost exactly with 13 of Venus, forming a 5: 8 ratio known as "synodic resonance".  Venus takes...

The Academy was the philosophical school founded by Plato around 387 a. C. in the gardens of Academos in Athens. In this, almost all the mathematical work of the time was developed, besides teaching medicine, rhetoric and astronomy. It can be considered as an antecedent of the universities. Geometry was considered a science of flat figures and proportions that, apart from its practical utility for the art of war, also elevates the mind towards the contemplation of the intelligible world. Until the process of idealization was converted at once into something without dimension, to the line in length without width, to the flat surface without thickness and to the solid in an ideal spatial volume, they were considered real figures existing in things. However, Plato will refuse to grant real existence to the point, defining it simply as the name given to the ends of a line. On the other hand, the lines, the surfaces and the solids do give them a real existence because they have magni...

A honeycomb is a structure formed by hexagonal cells made with wax. These share common walls and are built by bees to contain their larvae and deposit pollen and honey, which they themselves make, inside the hive. The bees seek to obtain a honeycomb form that is the most economical possible, that presents the largest volume for the smallest portion of material used. But, why do bees choose this hexagonal form? If the honeycomb cells were square they would optimize the space, but these living beings undergo a metamorphosis and need an adequate space for their new anatomy. If the cells were cylindrical they would be perfect but the amount of wax used would not benefit them. However, bees have a natural intuition that tells them that the most effective figure is the hexagon. This allows a distribution or lace such that it does not give rise to useless spaces, because all the faces of the hexagons of the honeycomb are joined to each other, with the maximum use of space. Maraldi, an ...