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Paul Schatz
Paul Schatz (22 December 1898, Konstanz – 7 March 1979) was a German-born sculptor, inventor and mathematician who patented the oloid and discovered the inversions of the platonic solids, including the "invertible cube", which is often sold as an eponymous puzzle, the Schatz cube. From 1927 to his death he lived in Switzerland. Origins and methodology Paul Schatz's investigations grew out of what he called "serious play", a research motto he summarised in German as ("search for what you might find unasked"). This open-ended approach demanded treating familiar forms as if they were unknown, allowing novel patterns to emerge. At that time, Schatz was a trained wood sculptor with university-level mathematical education, and he combined these skills by crafting hand-built paper and wood models to investigate spatial relationships and transformations. His first challenge was to map the twelve zodiac signs—arranged sequentially in a circle on the plane—onto the twelve face ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Konstanz
Konstanz ( , , , ), traditionally known as Constance in English, is a college town, university city with approximately 83,000 inhabitants located at the western end of Lake Constance in the Baden-Württemberg state of south Germany. The city houses the University of Konstanz and was the residence of the Roman Catholic Diocese of Konstanz for more than 1,200 years. Location The city is located in the state of Baden-Württemberg and situated at the banks of Lake Constance (''Bodensee'' in German). The river Rhine, which starts in the Swiss Alps, passes through Lake Constance and leaves it, considerably larger, by flowing under a bridge connecting the two parts of the city. North of the river lies the larger part of the city with residential areas, industrial estates, and the University of Konstanz; while south of the river is the old town, which houses the administrative centre and shopping facilities in addition to the ''Hochschule'' or the ''University of Applied Sciences''. C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Platonic Solid
In geometry, a Platonic solid is a Convex polytope, convex, regular polyhedron in three-dimensional space, three-dimensional Euclidean space. Being a regular polyhedron means that the face (geometry), faces are congruence (geometry), congruent (identical in shape and size) regular polygons (all angles congruent and all edge (geometry), edges congruent), and the same number of faces meet at each Vertex (geometry), vertex. There are only five such polyhedra: Geometers have studied the Platonic solids for thousands of years. They are named for the ancient Greek philosopher Plato, who hypothesized in one of his dialogues, the ''Timaeus (dialogue), Timaeus'', that the classical elements were made of these regular solids. History The Platonic solids have been known since antiquity. It has been suggested that certain carved stone balls created by the late Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the num ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From The Grand Duchy Of Baden
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determination, as i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1979 Deaths
Events January * January 1 ** United Nations Secretary-General Kurt Waldheim heralds the start of the ''International Year of the Child''. Many musicians donate to the ''Music for UNICEF Concert'' fund, among them ABBA, who write the song ''Chiquitita'' to commemorate the event. ** In 1979, the United States officially severed diplomatic ties with the Republic of China (Taiwan). This decision marked a significant shift in U.S. foreign policy, turning to view the People's Republic of China as the sole legitimate representative of China. ** The United States and the People's Republic of China establish full Sino-American relations, diplomatic relations. ** Following a deal agreed during 1978, France, French carmaker Peugeot completes a takeover of American manufacturer Chrysler's Chrysler Europe, European operations, which are based in United Kingdom, Britain's former Rootes Group factories, as well as the former Simca factories in France. * January 6 – Geylang Bahru family ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1898 Births
Events January * January 1 – New York City annexes land from surrounding counties, creating the City of Greater New York as the world's second largest. The city is geographically divided into five boroughs: Manhattan, Brooklyn, Queens, The Bronx and Staten Island. * January 13 – Novelist Émile Zola's open letter to the President of the French Republic on the Dreyfus affair, , is published on the front page of the Paris daily newspaper , accusing the government of wrongfully imprisoning Alfred Dreyfus and of antisemitism. February * February 12 – The automobile belonging to Henry Lindfield of Brighton rolls out of control down a hill in Purley, London, England, and hits a tree; thus he becomes the world's first fatality from an automobile accident on a public highway. * February 15 – Spanish–American War: The explodes and sinks in Havana Harbor, Cuba, for reasons never fully established, killing 266 men. The event precipitates the United States' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Water Treatment
Water treatment is any process that improves the quality of water to make it appropriate for a specific end-use. The end use may be drinking, industrial water supply, irrigation, river flow maintenance, water recreation or many other uses, including being safely returned to the environment. Water treatment removes contaminants and undesirable components, or reduces their concentration so that the water becomes fit for its desired end-use. This treatment is crucial to human health and allows humans to benefit from both drinking and irrigation use. Types Drinking water treatment Water contamination is primarily caused by the discharge of untreated wastewater from enterprises. The effluent from various enterprises, which contains varying levels of contaminants, is dumped into rivers or other water resources. The wastewater may have a high proportion of organic and inorganic contaminants at the initial discharge. Industries generate wastewater as a result of fabrica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Water Aeration
Water aeration is the process of increasing or maintaining the oxygen saturation of water in both natural and artificial environments. Aeration techniques are commonly used in pond, lake, and reservoir management to address low oxygen levels or algal blooms. Water quality Water aeration is often required in water bodies that suffer from hypoxic or anoxic conditions, often caused by upstream human activities such as sewage discharges, agricultural run-off, or over-baiting a fishing lake. Aeration can be achieved through the infusion of air into the bottom of the lake, lagoon or pond or by surface agitation from a fountain or spray-like device to allow for oxygen exchange at the surface and the release of gasses such as carbon dioxide, methane or hydrogen sulfide. Decreased levels of dissolved oxygen (DO) is a major contributor to poor water quality. Not only do fish and most other aquatic animals need oxygen, aerobic bacteria help decompose organic matter. When oxygen concentrat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rotational Energy
Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object's axis of rotation, the following dependence on the object's moment of inertia is observed: E_\text = \tfrac I \omega^2 where The mechanical work required for or applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity. For free-floating (unattached) objects, the axis of rotation is commonly around its center of mass. Note the close relationship between the result for rotational energy and the energy held by linear (or translational) motion: E_\text = \tfrac m v^2 In the rotating system, the moment of inertia, ''I'', takes the role of the mass, ''m'', and the angular velocity, \omega , takes the role of the linear velocity, ''v''. The rotational energy of a rolling cylinder varie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Degree Of Freedom
In many scientific fields, the degrees of freedom of a system is the number of parameters of the system that may vary independently. For example, a point in the plane has two degrees of freedom for translation: its two coordinates; a non-infinitesimal object on the plane might have additional degrees of freedoms related to its orientation. In mathematics, this notion is formalized as the dimension of a manifold or an algebraic variety. When ''degrees of freedom'' is used instead of ''dimension'', this usually means that the manifold or variety that models the system is only implicitly defined. See: * Degrees of freedom (mechanics), number of independent motions that are allowed to the body or, in case of a mechanism made of several bodies, number of possible independent relative motions between the pieces of the mechanism * Degrees of freedom (physics and chemistry), a term used in explaining dependence on parameters, or the dimensions of a phase space * Degrees of freedom (statist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
