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GEOMETRY Geometry is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. USES : How much concrete is needed for a footing with these dimensions?, or how much Fencing is needed to enclose the region in this sketch. Carpentry generally does not require much formal education, but some of their applicants thought all they had to do was show up. Geometry being used in : (a) Computer graphics is based on geometry - how images are transformed when viewed in various ways. (b) Computer-aided design, computer-aided geometric design. Representing shapes in computers, and using these descriptions to create images, to instruct people or machines to build the shapes, etc. (e.g. the hood of a car, the overlay of parts in a building construction, even parts of computer animation). (c) Robotics. Robotic vision, planning how to grasp a shape with a robot arm, or how to move a large shape without collission. (d) Medical imaging - how to reconstruct the shape of a tumor from CAT scans, and other medical measurements. Lots of new geometry and other math was (and still is being) developed for this. (e) Structural engineering. What shapes are rigid or flexible, how they respond to forces and stresses. Statics (resolution of forces) is essentially geometry. This goes over into all levels of design, form, and function of many things. I have attended some interesting architecture and design conferences where all of this flows together - sometimes (in North American culture) with people knowing too little geometry to do some of the things well. (f) Protein modeling. Much of the function of a protein is determined by its shape and how the pieces move. Mad Cow Disease is caused by the introduction of a 'shape' into the brain (a shape carried by a protein). Many drugs are designed to change the shape or motions of a protein - something that we are just now working to model, even approximately, in computers, using geometry and related areas (combinatorics, topology). (g) Physics, chemistry, Biology, .... . Symmetry is a central concept of many studies in science - and also the central concept of modern studies of geometry. Students struggle in university science if they are not able to detect symmetries of an object (molecule in stereo chemistry, systems of laws in physics, ... ). the study of transfromations and related symmetries has been, since 1870s the defining characteristic of geometric studies.
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How does geometry influence the lives of biologists and artists?
It teaches everyone the advancements of the earth and that not only nature has its existings, but geomtry takes place everywhere. Geometry has to deal with figures, and that atracts artists.
What is a characteristic of Euclidean geometry?
One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.
What is the electron geometry for OF2?
molecular geometry is bent, electron geometry is tetrahedral
What is the structural geometry of NOF?
Molecular geometry will be bent, electron geometry will be trigonal planar
What is the molecular geometry for SF4?
It has seesaw geometry.
When was The Fractal Geometry of Nature created?
The Fractal Geometry of Nature was created in 1982.
What are the four aspects of geometry?
* geometry in nature * for practcal use of geometry * geometry as a theory * historic practical use of geometry
Where can you find geometry?
You cannot find perfect geometry in nature.
How is geometry used in nature buildings and roads?
Look into the strength of a snail's shell for geometry in nature, the strength of arches for geometry in buildings and the use of angles, arcs and radiuses in designing roads.
Who actually discovered symmetry in geometry?
nature
These endlessly generating patterns are the geometry of nature?
Fractals
What are endlessly generating patterns geometry of nature?
Fractals
Who what when where why Geometry?
Mostly construction workers or other jobs in that nature
What endlessly generating patterns are the geometry of nature?
Fractals are patterns that are found in nature frequently. Many of them are based off of the golden ratio or Fibonacci's sequence.
How does geometry influence the lives of biologists and artists?
It teaches everyone the advancements of the earth and that not only nature has its existings, but geomtry takes place everywhere. Geometry has to deal with figures, and that atracts artists.
What is the coordination geometry of CoCl2 6H2O?
CoCl2.6H2O has 6 water molecules attached as secondary valencies and 2 chlorine atoms are serving as the primary valencies. The secondary valencies are directional in nature and hence they lead to the geometry of it. The geometry of this compound is Octahedral with cobalt showing a coordination no. of 6.
What are some real world applications of geometry?
Euclidean geometry has become closely connected with computational geometry, computer graphics, convex geometry, and some area of combinatorics. Topology and geometry The field of topology, which saw massive developement in the 20th century is a technical sense of transformation geometry. Geometry is used on many other fields of science, like Algebraic geometry. Types, methodologies, and terminologies of geometry: Absolute geometry Affine geometry Algebraic geometry Analytic geometry Archimedes' use of infinitesimals Birational geometry Complex geometry Combinatorial geometry Computational geometry Conformal geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Euclidean geometry Finite geometry Geometry of numbers Hyperbolic geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie sphere geometry Non-Euclidean geometry Numerical geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab geometry Toric geometry Transformation geometry Tropical geometry
