Five Platonic Solids

This is the name for one of the line segments which make up a polygon.

The Ancient Greeks were the firsts to speculate on the composition of matter. They thought that it was possible that individual particles made up matter.

Plato was a philosopher who was born in Athens (470-390 BCE), and was also a student of Socrates. He felt that intelligence and one’s perception belonged to completely independent realms or realities. He believed that general concepts of knowledge were predestined, or placed in the soul before birth even occurred in living things. Plato believed that the cosmos was intelligible, and the the universe was mathematically understandable. He believes that mathematical objects could be seen as perfect forms. Forms, a doctoral of Plato, can be understood as an everyday object or idea, which does not, exists in the everyday realm, but merely is existent in the hypothetical realm or reality.

One of the Three designs that, in duplicate, make up the six sides of the Hellraiser Box, Or Lament Configuration.

We are introduced to the Forms in Plato’s dialogue the Phaedo. The Theory of Forms says that

Plato fails to set out his theory clearly and allow the reader to realise it is a theory. Nowhere in his dialogues does he state that he is describing a theory of forms, and so people may have misunderstood his writing s and he may not have meant it to be a theory at all. He has elements of his theory in many different dialogues and is inconsistent. In Book I of the Metaphysics Aristotle claims that Plato had a "system" to the effect that "the many sensibles which have the same name exist by participating in the corresponding Forms." This quote from Aristotle's work suggests that Plato did have a theory of forms but this is not believed by all people.

It is interesting to notice that this Platonic form can be seen in various ways in both the human on a micro scale and in Jesus or God on a higher level. The human body, for instance, (as Plato noted) serves as garb for the soul. We can assume certain gestures, paint our faced, mask our mannerisms and looks; we can play around with our externals, but there is a soul that emanates from within, and this soul emerges through appearances such as looks, tears, or speech.

Throughout Plato’s explanations, he utilizes the myth of the three metals to provide justification for the class system which he believes will create a perfect society. As Plato idealizes, each metal represents a specific class in society. ““Appropriately so. Nevertheless, listen to the rest of the story. “All of you in the city are brothers,” we’ll say to them in telling our story, “but the god who made you mixed some gold into those who are adequately equipped to rule, because they are most valuable.””

Shapes are two- dimensional surfaces such as circles or squares, and forms are three-dimensional shapes like

Plato, arguably one of the most famous philosophers in history is known for his dialogues and theory of Forms. The theory of Forms argues that ideas (non-physical forms) are more real than tangible objects or what our senses perceive. According to Plato, there is the visible realm and intelligible realm. Reality could be divided into three different levels; the level of appearances, the real level, and the ideal level which he explains through the analogy of the ‘Divided Line’ in The Republic.

In Famous scientist’s (2015) article Pythagoras it states that five 3D solids were brought into existence by Pythagoras and the Pythagoreans, these items are identical on all of the sides and today they are called dice. The ranged from four sides all the way up to twenty and later Plato believed they belonged to the five Greek elements including aether (n.pag). They said “Pythagoras believed that, like everything else, music was based on whole number ratios. He also believed in its healing properties.”(n.pag) He later would learn that music was controlled by rations, like if a sting is shortened by half it raises an octave or if it’s shortened two-thirds then it moved the pit up one-fifth discovering that octaves are split into fifths not halves (n.pag). Those are the biggest discoveries of Pythagoras and the Pythagoreans, but they still has many more different discoveries. He has been accredited with a lot for being an enigma, and having written no books in his life. Even so the thoughts from learning of this brilliant mathematician tickles the mind and creates great and wonderful thoughts and ideas for many people. Learning about all of this should inspire anyone to travel and learn the ways of other countries and customs and even grasp their mathematical

We perceive a different world through our mind than we do through the senses. It is the material world, perceived through the senses and this world changing. It is the realm of forms,which one sees through the mind, this world is permanent. It is this world that is more real; the world of change is merely an imperfect image of this world. A form is an abstract property or quality. Take any property of an object and separate it from that object and consider it by itself, this is a form.For instance,when we talk of a triangle we say that it is a three sided enclosed figure and the sum of whose all sides is 180degrees,but have we ever seen a perfect triangle what we have seen is just a close approximation of an ideal triangle but not an ideal triangle.

Plato was interested in how we can apply a single word or concept to many words or things. For example how can the word house be used for all the individual dwellings that are houses? Plato answered that various things can be called by the same name because they have something in common. He called this common factor the thing’s form or idea. Plato insisted that the forms differ greatly from the ordinary things that we see around us. Ordinary things change but their forms do not. A particular triangle may be altered in size or shape but the form of a triangle can never change. Plato concluded that forms exist neither in space or time. They can be known not only by the intellect but also by the senses. Because of their stability and perfection, the forms have greater reality than ordinary objects observed by the senses. Thus true knowledge is knowledge of the forms.

Plato's theory of The Forms argued that everything in the natural world is representative of the ideal of that form. For example, a table is representative of the ideal form Table. The form is the perfect ideal on which the physical table is modeled. These forms do not exist in the natural world, as they are perfect, and there is nothing perfect in the natural world. Rather the forms exist in the invisible realm,

Nubian pyramids demonstrate the Nubians use of geometry as it would have been necessary to build such pyramids.