Polyhedron
Polyhedron is a three dimensional figure made up of sides called
faces, each face being a polygon. A polygon is a two dimensional
figure made up of line segments called edges that are connected two at
a time at their endpoints. In a polyhedron, several polygonal faces
meet at a corner (vertex). When all the edges of the polygon are of
equal length the polygon is called regular. An equilateral triangle
and a square are examples made up of three and four edges respectively.
Polygons whose sides and angles are not of equal measure, are called
irregular. Regular Polyhedra is also known as Platonic Solids. There
are only five platonic solids.
Equilateral triangles
[IMAGE]-Tetrahedron
3 faces at each vertex
-Octahedron
4 faces at each vertex
-Icosahedron
5 faces at each vertex
Squares
-Cube (hexahedron)
3 faces at each vertex
Pentagons
- Dodecahedron
3 faces at each vertex
Here are short explanations of some Polyhedra…
Tetrahedron
This is the simplest of all the polyhedra. It uses the least number of
faces to enclose any three-dimensional space. The polygon that makes
up these faces is also the simplest polygon. Tetrahedron has 4
vertices, 6 edges and 4 faces.
Hexahedron
Hexahedron is the most common polyhedron. A hexahedron is a polyhedron
with six faces. It is often called cube. The thing about the cube
(hexahedron) is that all the other regular polyhedra can be derived
from taking cuts across the cube to form a tetrahedron first, and
accross the tetrahedron to give an octahedron, and so on.It has 8
vertices, 12 edges, and 6 faces.
Octahedron
Octahedron is made from placing two square based pyramids base to
It is interesting to see how Cable became riveted in Quadroon balls which is best represented in Tite Poullete and Madame Delphine but in all honesty, they captured the essence in New Orleans and many underlining issues that were taking place during this time. The quadroon balls represented both good and evil in many aspects, on a positive note they were a form of entertainment that reflected the unique culture of New Orleans. Here you have a unique City where all races and cultures merge, Cable called it a “Hybrid City” and to completely capture how the city became just that, would require a book but to some it up quickly, New Orleans, before it was sold to the united states was Founded by the French and under Spanish rule for Thrity five years after the Freancha nd Indian war, the coloney was returned to the French under Napoleaon, (degas17) and all of this occurred before the Civil War. New Orleans became a place that Indians, Africans and European settlers could come together and in some respects New Orleans seemed to be a more a way to be socially accepted due to the wide range of cultures that were then and now, intertwined. Unfortunately, where there are cultures intermingled there are will be conflicts and one of these was the interracial marriages and affiliation between black and whites. Due to the diversity, it was enviadalb that this would occur and the interworking’s of social customs such as slave trade and the system pf “Placage” once unmasked by Cable and his works, caused an uproar in New Orleans. The social tensions may have been present but once presented and brought to light angered people who felt as though their situation, be it a slave owner, memebers who attended the Quadroon balls gave a bad perception of...
Throughout the years, technology has changed the way live. This has included the way we build magnificent buildings. Old wonders like the Pyramids at Giza have fascinated people for years. There is another building concept that has attracted people’s attention for ages as well, domes.
Throughout a ten-year period, Escher traveled around Italy sketching impressions. Finding little success and on the verge of poverty, Escher ventured to Spain in the late 1920’s in search of novel inspiration, which he found in the abundant Moorish tilings there. It was also during this time that Escher’s mathematical influences took shape, as he read Polya’s 1924 paper on plane symmetry groups. Despite his mathematical inadequacies, Escher was able to understand and reproduce the 17 plane symmetry groups as described by Polya (M. C. Es...
In the anonymous poem Sir Gawain and the Green Knight, the character of Sir Gawain is portrayed as the imperfect hero. His flaws create interest and intrigue. Such qualities of imperfection cannot be found in the symbol of the pentangle, which he displays on his shield. This contrast between character and symbol is exposed a number of times throughout the poem allowing human qualities to emerge from Gawain’s knightly portrayal. The expectations the pentangle presents proves too much for Gawain as he falls victim to black magic, strays from God, is seduced by an adulterous woman, and ultimately breaks the chivalric code by lying to the Green Knight.
A platonic solid is a solid having similar, regular polygonal faces. There are five Platonic solids: the icosahedron, tetrahedron, octahedron, dodecahedron, and cube. They are characterized by the fact that each face is a straight-sided figure with equal sides and equal angles:
An example of the difference in the abstract geometry and the measurement geometry is the sum of the measures of the angles of a trigon. The sum of the measures of the angles of a trigon is 180 degrees in Euclidian geometry, less than 180 in hyperbolic, and more than 180 in elliptic geometry. The area of a trigon in hyperbolic geometry is proportional to the excess of its angle sum over 180 degrees. In Euclidean geometry all trigons have an angle sum of 180 without respect to its area. Which means similar trigons with different areas can exist in Euclidean geometry. It is not possible in hyperbolic or elliptic geometry. In two-dimensional geometries, lines that are perpendicular to the same given line are parallel in abstract geometry, are neither parallel nor intersecting in hyperbolic geometry, and intersect at the pole of the given line in elliptic geometry. The appearance of the lines as straight or curved depends on the postulates for the space.
"A shape is that which limits a solid; in a word, a shape is the limit of a solid."
Ethylene, H2 C = CH2, the lightest olefin. It is a colorless, flammable gas, produced mainly by thermal decomposition in the presence of steam (steam cracking) from petroleum-based raw materials. Ethylene has virtually no direct inhalation, but almost exclusively acts as an intermediate in the production of other chemicals, especially plastics. Polyethylene, which is the most commonly used plastic, is directly produced from ethylene by its polymerization. Ethylene can also be chlorinated or combined with benzene to produce 1,2-dichloroethane, a precursor of plastic polyvinyl chloride to produce ethylbenzene, which is another important plastic used in the manufacture of polystyrene. Lesser amounts of ethylene are oxidized to produce chemicals containing ethylene oxide,
Improve Communication: By increasing employee involvement in decision making processes, through group meetings with employees to discuss how things are functioning in the workplace and about how to improve work performance or the job environment itself.
The image of the pyramid with the sun shinning behind it was taken from a 1996 brochure advertising a weekend seminar with Robert Kirby, an international speaker and author. Kirby's weekend seminar is titled "Manifesting Your Life - Purpose, Prosperity and Abundance." His self proclaimed fields of expertise include Corporate Negotiation, Accelerated Learning,
The evolution of land use patterns can determine many aspects of a given region. In the example of the Junction Triangle (JT) - a sector of Toronto that came into existence by industrial land use - there have been three major aspects affected by industrial land use: economic, social, and political (Knox, p444). Land use in the JT has neglected these three aspects of residential life - and thus, has compromised the quality of life (QOL) of the citizens - in exchange for industrial development.
the 6 faces can be seen. However if you place 5 cubes side by side,
I am going to begin by investigating a square with a side length of 10
The focus of Socrates at this time in Plato’s Republic is of the ideal city and how it can be traced to the human soul. Socrates believes that the city he has proposed to the other men is perfect in itself. He says that this city possesses four virtues which are the base for the city being perfect. These are the virtues of wisdom, courage, moderation and lastly but most importantly is the virtue of justice. He breaks down the city into classes and he says how each man within the city is responsible for what his life work is. He says that the people of the city whom the mass will see as most educated will be most fit for rule. “You remember the original principle which we were always laying down at the foundation of the State, that one man should practise one thing only, the thing to which his nature was best adapted; now justice is this principle or a part of it.”(433a) It is here that each man concentrates on his own possessions and his own business where we find a just city. He explains that being able to compare social classes within the city is very important because it has produced the important virtue of justice. With Socrates being able to do this he now has to establish a proper dialogue for explaining justice and the soul of an individual.
Shapes are two- dimensional surfaces such as circles or squares, and forms are three-dimensional shapes like spheres or cubes. A concave form has a pushed-in surface like the inside of a bowl and a convex form has a raised surface like the outside of a bowl. When you are looking at shapes and forms, the shape that you see first is called a figure or positive shape and the area around it is called the ground or the negative shape. The natural curves in different objects, such as trees or clouds are called organic shapes. Geometric shapes and forms are precise and regular such as cubes, pyramids, and circles. A free-form is an irregular invented shape or form that has qualities of a geometric form or an organic form.