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Oloid Structure
An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the edge of the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3. Surface area and volume The surface area of an oloid is given by:. :A = 4\pi r^2 exactly the same as the surface area of a sphere with the same radius. In closed form, the enclosed volume is :V = \frac \left(2 E\left(\frac\right) + K\left(\frac\right)\right)r^, where K and E denote the complete elliptic integrals of the first and second kind respectively. A numerical calculation gives :V \approx 3.0524184684r^. Kinetics The surface of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oloid Structure
An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the edge of the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3. Surface area and volume The surface area of an oloid is given by:. :A = 4\pi r^2 exactly the same as the surface area of a sphere with the same radius. In closed form, the enclosed volume is :V = \frac \left(2 E\left(\frac\right) + K\left(\frac\right)\right)r^, where K and E denote the complete elliptic integrals of the first and second kind respectively. A numerical calculation gives :V \approx 3.0524184684r^. Kinetics The surface of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Axial Symmetry
Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis. glossary of meteorology. Retrieved 2010-04-08. For example, a without trademark or other design, or a plain white tea saucer, looks the same if it is rotated by any angle about the line passing lengthwise through its center, so it is axially symmetric. Axial symmetry can also be [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss Science Center Technorama
The Swiss Science Center Technorama (Swiss German native name: Technorama) is a science museum in the municipality of Winterthur in the canton of Zürich, Switzerland. History In 1947 an association for the establishment of a technical museum in Switzerland was launched, and objects were held by the industrial companies of the Winterthur–Zürich–Baden region. On 26 June 1969, a foundation in accordance with Art. 80 ff ZGB was founded under the name ''Technorama der Schweiz'', purposing ''science and technology for vivid spectacle''. In 1982 an exhibition was presented, but in a conservative way being a conventional technology museum, covered by verbal information masses, mainly in the form of an audiovisual superstructure. In June 1990 a new mission statement was adopted, created by the former director Remo Besio. Essentially, it was inspired and designed by the leading science centers of the UK and the US, including the '' Exploratorium'' in San Francisco. The theoretical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MOMIX
MOMIX is a dance company based in Washington, Connecticut, founded in 1981 by choreographer Moses Pendleton. MOMIX developed out of work Pendleton did for a celebration of Erik Satie at the Paris Opera in 1978. The company is named after a solo, "Momix," that Pendleton created for the 1980 Winter Olympics in Lake Placid. An offshoot of the dance company Pilobolus, which Pendleton co-founded in 1971, MOMIX presents works that combine acrobatics, dance, gymnastics, mime, props, and film in a theatrical setting. The company has successfully toured internationally, performing on five continents. MOMIX is a for-profit contemporary dance company. Theatre, film and television MOMIX has made five Italian RAI television features broadcast to 55 countries (including the USSR and China) and has performed on Antenne II in France. MOMIX was also featured in PBS's “Dance in America” series and on Canadian television with Charles Dutoit and the Montreal Symphony in the Rhombus Media ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indiana University
Indiana University (IU) is a system of public universities in the U.S. state of Indiana. Campuses Indiana University has two core campuses, five regional campuses, and two regional centers under the administration of IUPUI. *Indiana University Bloomington (IU Bloomington) is the flagship campus of Indiana University. The Bloomington campus is home to numerous premier Indiana University schools, including the College of Arts and Sciences, the Jacobs School of Music, an extension of the Indiana University School of Medicine, the School of Informatics, Computing, and Engineering, which includes the former School of Library and Information Science (now Department of Library and Information Science), School of Optometry, the O'Neil School of Public and Environmental Affairs, the Maurer School of Law, the School of Education, and the Kelley School of Business. *Indiana University–Purdue University Indianapolis (IUPUI), a partnership between Indiana University and Purdue Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
N-skeleton
In mathematics, particularly in algebraic topology, the of a topological space presented as a simplicial complex (resp. CW complex) refers to the subspace that is the union of the simplices of (resp. cells of ) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the . These subspaces increase with . The is a discrete space, and the a topological graph. The skeletons of a space are used in obstruction theory, to construct spectral sequences by means of filtrations, and generally to make inductive arguments. They are particularly important when has infinite dimension, in the sense that the do not become constant as In geometry In geometry, a of P (functionally represented as skel''k''(''P'')) consists of all elements of dimension up to ''k''. For example: : skel0(cube) = 8 vertices : skel1(cube) = 8 vertices, 12 edges : skel2(cube) = 8 vertices, 12 edges, 6 square faces For simplicial sets The above d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Radius
In classical geometry, a radius ( : radii) of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin ''radius'', meaning ray but also the spoke of a chariot wheel. as a function of axial position ../nowiki>" Spherical coordinates In a spherical coordinate system, the radius describes the distance of a point from a fixed origin. Its position if further defined by the polar angle measured between the radial direction and a fixed zenith direction, and the azimuth angle, the angle between the orthogonal projection of the radial direction on a reference plane that passes through the origin and is orthogonal to the zenith, and a fixed reference direction in that plane. See also *Bend radius *Filling radius in Riemannian geometry *Radius of convergence *Radius of convexity * Radius of curvature *Radius of gyration ''Radius of gyration'' or gyradius of a body about the axis of ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Two Circle Roller
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. Evolution Arabic digit The digit used in the modern Western world to represent the number 2 traces its roots back to the Indic Brahmic script, where "2" was written as two horizontal lines. The modern Chinese and Japanese languages (and Korean Hanja) still use this method. The Gupta script rotated the two lines 45 degrees, making them diagonal. The top line was sometimes also shortened and had its bottom end curve towards the center of the bottom line. In the Nagari script, the top line was written more like a curve connecting to the bottom line. In the Arabic Ghubar writing, the bottom line was completely vertical, and the digit looked like a dotless closing question mark. Restoring the bottom line to its original horizonta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semicircle
In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180° (equivalently, radians, or a half-turn). It has only one line of symmetry ( reflection symmetry). In non-technical usage, the term "semicircle" is sometimes used to refer to a half- disk, which is a two-dimensional geometric shape that also includes the diameter segment from one end of the arc to the other as well as all the interior points. By Thales' theorem, any triangle inscribed in a semicircle with a vertex at each of the endpoints of the semicircle and the third vertex elsewhere on the semicircle is a right triangle, with a right angle at the third vertex. All lines intersecting the semicircle perpendicularly are concurrent at the center of the circle containing the given semicircle. Uses A semicircle can be used to construct the arithmetic and geometric means of two lengths using strai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sphericon
In solid geometry, the sphericon is a solid that has a continuous developable surface with two congruent, semi-circular edges, and four vertices that define a square. It is a member of a special family of rollers that, while being rolled on a flat surface, bring all the points of their surface to contact with the surface they are rolling on. It was discovered independently by carpenter Colin Roberts (who named it) in the UK in 1969, by dancer and sculptor Alan Boeding of MOMIX in 1979, and by inventor David Hirsch, who patented it in Israel in 1980. Construction The sphericon may be constructed from a bicone (a double cone) with an apex angle of 90 degrees, by splitting the bicone along a plane through both apexes, rotating one of the two halves by 90 degrees, and reattaching the two halves. Alternatively, the surface of a sphericon can be formed by cutting and gluing a paper template in the form of four circular sectors (with central angles \pi/\sqrt) joined edge-to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Line Segment
In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as \overline). Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal. When the end points both lie on a curve (such as a circle), a line segment is called a chord (of that curve). In real or complex vector spaces If ''V'' is a vector space o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Motion
Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x, which varies with t (time). An example of linear motion is an athlete running a 100-meter dash along a straight track. Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force. Under everyday circumstances, external forces such as gravity and friction can cause an object to change the direction of its motion, so that its motion cannot be described a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
