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searching for Geometric Constructions 89 found (99 total)

Seven-dimensional space (499 words) [view diff] case mismatch in snippet view article find links to article

seven-dimensional manifold such as a 7-sphere, or a variety of other geometric constructions. Seven-dimensional spaces have a number of special properties,

Eight-dimensional space (718 words) [view diff] case mismatch in snippet view article find links to article

eight-dimensional manifold such as an 8-sphere, or a variety of other geometric constructions. A polytope in eight dimensions is called an 8-polytope. The most

Theodosius' Spherics (1,486 words) [view diff] case mismatch in snippet view article find links to article

century BC. Book I and the first half of Book II establish basic geometric constructions needed for spherical geometry using the tools of Euclidean solid

Richard Lippold (1,556 words) [view diff] case mismatch in snippet view article find links to article

1915 – August 22, 2002) was an American sculptor, known for his geometric constructions using wire as a medium. Lippold was born in Milwaukee, Wisconsin

Space-filling tree (879 words) [view diff] case mismatch in snippet view article find links to article

Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted.

List of interactive geometry software (1,770 words) [view diff] case mismatch in snippet view article find links to article

computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction

Color difference (4,294 words) [view diff] no match in snippet view article find links to article

In color science, color difference or color distance is the separation between two colors. This metric allows quantified examination of a notion that formerly

Napoleon's problem (955 words) [view diff] case mismatch in snippet view article find links to article

the limitation of using only a compass (no straight edge) into geometric constructions. But actually, the challenge above is easier than the real Napoleon's

Irakli Gamrekeli (424 words) [view diff] case mismatch in snippet view article find links to article

(1937). Gamrekeli's picturesque designs, noted for their abstract geometric constructions and spacious but sparsely furnished dimensions, helped determine

Geometric drawing (454 words) [view diff] case mismatch in snippet view article find links to article

ancient mathematicians, geometry could not do without the methods of geometric constructions, necessary for understanding, theoretical enrichment, and problem-solving

Straightedge (389 words) [view diff] case mismatch in snippet view article find links to article

draw any of their common tangents Or any of the other numerous geometric constructions The idealized straightedge is: Infinitely long Infinitesimally

Double Planetoid (428 words) [view diff] case mismatch in snippet view article find links to article

Messina, Barbara; Chiarenza, Stefano (December 2020), "Drawing and geometric constructions of polyhedra in the art of Escher", in Cheng, Liang-Yee (ed.),

Squaring the circle (4,922 words) [view diff] case mismatch in snippet view article find links to article

intermediate value theorem. The more general goal of carrying out all geometric constructions using only a compass and straightedge has often been attributed

Neža Mramor–Kosta (254 words) [view diff] case mismatch in snippet view article find links to article

theory, arXiv:0808.0051 Borut Jurčič Zlobec, Neža Mramor Kosta, Geometric constructions on cycles in R'n, arXiv:1311.5656 AYALA, Rafael, VILCHES, Jose

A History of Folding in Mathematics (751 words) [view diff] case mismatch in snippet view article find links to article

the use of folding to replace the compass and straightedge in geometric constructions; it also discusses the history of paper, and paper folding in the

Georg Mohr (535 words) [view diff] case mismatch in snippet view article find links to article

Alexanderson, Gerald L. (July 2014), "About the cover: Two theorems on geometric constructions", Bulletin of the American Mathematical Society, 51 (3): 463–467

Möbius strip (9,636 words) [view diff] case mismatch in snippet view article find links to article

may have two sides. It has only a single boundary curve. Several geometric constructions of the Möbius strip provide it with additional structure. It can

KDE Education Project (827 words) [view diff] case mismatch in snippet view article find links to article

fractions and percentages. Kig - Program for interactively exploring geometric constructions. KmPlot - Mathematical function plotter drawing draw graphs, their

Huzita–Hatori axioms (2,466 words) [view diff] exact match in snippet view article find links to article

2022-02-13. Retrieved 2012-04-20. Lang, Robert J. (2010). "Origami and Geometric Constructions" (PDF). pp. 40–45. Retrieved 2020-09-22. Alperin, Roger C (2000)

Humiaki Huzita (609 words) [view diff] exact match in snippet view article find links to article

Kawasaki, Tachi, Uehara, Lang, Wang-Iverson (2014). Origami 6.{{cite book}}: CS1 maint: multiple names: authors list (link) Origami Geometric Constructions

Abu al-Wafa' al-Buzjani (1,338 words) [view diff] exact match in snippet view article find links to article

Zīj al-wāḍiḥ (زيج الواضح), no longer extant. "A Book on Those Geometric Constructions Which Are Necessary for a Craftsman", (كتاب في ما یحتاج إليه الصانع

Franz Ackermann (528 words) [view diff] case mismatch in snippet view article find links to article

streets), mixed with abstract, bright and broken color areas and geometric constructions. In 2012, Ackermann spent two months in Buenos Aires, Argentina

Geometry (10,101 words) [view diff] case mismatch in snippet view article find links to article

Shatapatha Brahmana (3rd century BC) contains rules for ritual geometric constructions that are similar to the Sulba Sutras. According to (Hayashi 2005

Clifford Singer (907 words) [view diff] case mismatch in snippet view article find links to article

dynamics of motion and natural law, blending aesthetics with precise geometric constructions. He received a B.F.A. degree from Alfred University’s art program

Sheaf (mathematics) (11,083 words) [view diff] case mismatch in snippet view article

terms of a sheaf of rings on the space. In such contexts, several geometric constructions such as vector bundles or divisors are naturally specified in terms

Ludwig Bieberbach (758 words) [view diff] case mismatch in snippet view article find links to article

semester as guest of the university of Basel and conduct a seminar on geometric constructions." Author profile in the database zbMATH Bieberbach, Ludwig (1955)

Square trisection (551 words) [view diff] case mismatch in snippet view article find links to article

Persian mathematician Abu'l-Wafa' (940-998) in his treatise "On the geometric constructions necessary for the artisan". Abu'l-Wafa' also used his dissection

Vesica piscis (1,458 words) [view diff] exact match in snippet view article find links to article

Introduction to the Vesica Piscis, the Reuleaux Triangle and Related Geometric Constructions in Modern Architecture", Nexus Network Journal, 17 (2): 671–684

Pentagon (3,080 words) [view diff] case mismatch in snippet view article find links to article

the original (PDF) on 2015-12-21. George Edward Martin (1998). Geometric constructions. Springer. p. 6. ISBN 0-387-98276-0. Fitzpatrick, Richard (2008)

List of mathematical artists (1,331 words) [view diff] case mismatch in snippet view article find links to article

geometer H. S. M. Coxeter Farmanfarmaian, Monir 1922–2019 Fine art Geometric constructions exploring the infinite, especially mirror mosaics Ferguson, Helaman

Mathematics in India (book) (1,706 words) [view diff] case mismatch in snippet view article

the beginnings of decimal numbering and integer factorization, geometric constructions using cords or ropes, the Pythagorean theorem, and accurate approximations

Eusebio Sempere (1,258 words) [view diff] case mismatch in snippet view article find links to article

contribution to the development of kinetic art is a series of abstract geometric constructions that demonstrate the perceptual effects of optical vibration and

Quadrature (geometry) (1,004 words) [view diff] case mismatch in snippet view article

method of indivisibles was used; it was less rigorous than the geometric constructions of the Greeks, but it was simpler and more powerful. With its help

Robert J. Lang (1,147 words) [view diff] exact match in snippet view article find links to article

2007. Retrieved 2007-04-12. Lang, Robert J. (2010). "Origami and Geometric Constructions" (PDF). Robert J. Lang. Retrieved 2019-11-21. {{cite journal}}:

Generative Modelling Language (938 words) [view diff] case mismatch in snippet view article find links to article

effectiveness of procedural shape design: In the Gothic style, all geometric constructions are exclusively executed using compass and ruler. Variations were

A. Rod Gover (279 words) [view diff] case mismatch in snippet view article find links to article

further development of this calculus, its relationship to other geometric constructions and tools, as well as its applications to the construction and

Euclides Danicus (488 words) [view diff] case mismatch in snippet view article find links to article

Alexanderson, Gerald L. (July 2014), "About the cover: Two theorems on geometric constructions", Bulletin of the American Mathematical Society, 51 (3): 463–467

History of sundials (2,378 words) [view diff] case mismatch in snippet view article find links to article

scientific calculators made the algebraic methods as accessible as the geometric constructions and the use of computers made dial plate design trivial. The heritage

Solar eclipse of September 7, 1820 (1,046 words) [view diff] case mismatch in snippet view article find links to article

contained maps of the paths of solar eclipses from 1816 and 1860. The geometric constructions used by Hallaschka anticipated the standard theory of eclipses

Murderous Maths (1,865 words) [view diff] case mismatch in snippet view article find links to article

numbers, square numbers, the International Date Line, geometry, geometric constructions, topology, Möbius strips, curves (conic sections and cycloids Golomb

Amelia Peláez (1,688 words) [view diff] case mismatch in snippet view article find links to article

of tablecloths and fruit dishes, laying the groundwork for the geometric constructions and rhythmic patterns that have been associated with her architectural

Roshdi Rashed (1,466 words) [view diff] case mismatch in snippet view article find links to article

eleventh centuries", "Vol. III: Ibn al-Haytham. Theory of conics, geometric constructions and practical geometry ", London, 2000. "The Mathematics of infinitesimal

The Geometer's Sketchpad (940 words) [view diff] case mismatch in snippet view article find links to article

Sketchpad includes the traditional Euclidean tools of classical geometric constructions. It also can perform transformations (translations, rotations,

The Geometer's Sketchpad (940 words) [view diff] case mismatch in snippet view article find links to article

Sketchpad includes the traditional Euclidean tools of classical geometric constructions. It also can perform transformations (translations, rotations,

Vitruvian Man (3,440 words) [view diff] exact match in snippet view article find links to article

Vitruvian Man Drawing: A New Interpretation Looking at Leonardo's Geometric Constructions". Nexus Network Journal. 17 (2). Springer Science and Business

Algorithmic art (2,693 words) [view diff] exact match in snippet view article find links to article

Vitruvian Man Drawing: A New Interpretation Looking at Leonardo's Geometric Constructions". Nexus Network Journal. 17 (2): 507–524. doi:10.1007/s00004-015-0247-7

The Geometry of the Octonions (750 words) [view diff] case mismatch in snippet view article find links to article

classical Lie groups. The third part applies the octonions in geometric constructions including the Hopf fibration and its generalizations, the Cayley

Nine-volt battery (1,571 words) [view diff] case mismatch in snippet view article find links to article

lithium cells) and partially due to the possibility of different geometric constructions (e.g. stacked versus cylinder). For example, the NiMH code listed

Lillian Florsheim (761 words) [view diff] case mismatch in snippet view article find links to article

studies of form and by the 70s, her work evolved further into strong geometric constructions using rods and planes and her works grew larger. In 1970, Florsheim

KDE Gear (3,408 words) [view diff] case mismatch in snippet view article find links to article

program KHangMan – classic hangman game Kig – Program for exploring geometric constructions Kiten – Japanese reference/learning tool KLettres – Helps to learn

Theorem (4,409 words) [view diff] case mismatch in snippet view article find links to article

differently: in Euclid's Elements (c. 300 BCE), all theorems and geometric constructions were called "propositions" regardless of their importance. A lemma

Girih (2,953 words) [view diff] exact match in snippet view article find links to article

Buzjani in the House of Wisdom. In his treatise A Book on Those Geometric Constructions Which Are Necessary for a Craftsman, he explained the geometric

Poncelet–Steiner theorem (12,613 words) [view diff] case mismatch in snippet view article find links to article

Persian mathematician Abu al-Wafa' Buzjani (940−998) considered geometric constructions using a straightedge and a compass with a fixed opening, a so-called

Modern elementary mathematics (1,968 words) [view diff] case mismatch in snippet view article find links to article

Interactive geometry software supports creation and manipulation of geometric constructions. Both computer algebra systems and interactive geometry software

Giorgio de Chirico (4,502 words) [view diff] case mismatch in snippet view article find links to article

inspired a series of paintings that feature biscuits, maps, and geometric constructions in indoor settings. In Ferrara he met with Carlo Carrà and together

Valerie Jaudon (1,711 words) [view diff] case mismatch in snippet view article find links to article

surfaced reality—be it decorative patterning, direct appropriation, geometric constructions, or language. This initiative by the Janis Gallery spurred a plethora

Schema for horizontal dials (3,815 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle \sin \phi \tan h} , where h is an integer 0 .. 5 Such geometric constructions were well known and remained part of the high school (UK grammar

Multiple representations (mathematics education) (1,506 words) [view diff] case mismatch in snippet view article

need more help. GeoGebra is free software dynamically linking geometric constructions, graphs, formulas, and grids. It can be used in a browser and is

School of Chios (435 words) [view diff] case mismatch in snippet view article find links to article

from it; he also introduced the use of the rule and compass for geometric constructions. Hippocrates is mentioned as the first to reduce the problem of

George Earl Ortman (1,442 words) [view diff] case mismatch in snippet view article find links to article

and Michel de Ghelderode. In 1954 and 1960, he showed simplified geometric constructions at the Stable Gallery. This work was viewed by Donald Judd as a

Isoperimetric inequality (3,481 words) [view diff] case mismatch in snippet view article find links to article

later by several other mathematicians. Steiner begins with some geometric constructions which are easily understood; for example, it can be shown that

Cube (6,238 words) [view diff] exact match in snippet view article find links to article

doi:10.1016/j.disc.2009.11.035. MR 2610282. Berman, Leah (2014). "Geometric Constructions for Symmetric 6-Configurations". In Connelly, Robert; Weiss, Asia;

Projective geometry (5,099 words) [view diff] case mismatch in snippet view article find links to article

duality allows us to set up a dual correspondence between two geometric constructions. The most famous of these is the polarity or reciprocity of two

Helen Phillips (artist) (1,477 words) [view diff] case mismatch in snippet view article

claw-like animal forms. She also produced long series of metallic, geometric constructions in iron rods with which she explored the idea of a modular growth

Linda MacDonald (1,458 words) [view diff] case mismatch in snippet view article find links to article

"evolved from colorful pieced work exploring decidedly modern geometric constructions to largely monochromatic abstractions painted with an airbrush

Mikhael Gromov (mathematician) (3,749 words) [view diff] case mismatch in snippet view article

another proof of Schoen and Yau's results, making use of elementary geometric constructions.[GL80b] They also showed how purely topological results such as

Rational motion (1,803 words) [view diff] case mismatch in snippet view article find links to article

B-spline motions. Ge and Ravani, developed a new framework for geometric constructions of spatial motions by combining the concepts from kinematics and

Straightedge and compass construction (4,826 words) [view diff] case mismatch in snippet view article find links to article

precision and zero width. Actual compasses do not collapse and modern geometric constructions often use this feature. A 'collapsing compass' would appear to

List of Martin Gardner Mathematical Games columns (355 words) [view diff] case mismatch in snippet view article find links to article

concept: Does nature keep her accounts on a thumbnail? 1969 Sep Geometric constructions with a compass and a straightedge, and also with a compass alone

Transcendental number (6,752 words) [view diff] case mismatch in snippet view article find links to article

Lindemann–Weierstrass theorem. The transcendence of π implies that geometric constructions involving compass and straightedge only cannot produce certain

Euclidean geometry (7,202 words) [view diff] exact match in snippet view article find links to article

5. Eves, vol. 1, p. 5; Mlodinow, p. 7. Hull, Tom. "Origami and Geometric Constructions". Retrieved 2025-04-08. Eves, p. 27. Ball, pp. 268ff. Eves (1963)

Albrecht Dürer (8,307 words) [view diff] case mismatch in snippet view article find links to article

and Ruler). The first book focuses on linear geometry. Dürer's geometric constructions include helices, conchoids and epicycloids. He also draws on Apollonius

Nephroid (2,934 words) [view diff] exact match in snippet view article find links to article

Arganbright, D., Practical Handbook of Spreadsheet Curves and Geometric Constructions, CRC Press, 1939, ISBN 0-8493-8938-0, p. 54. Borceux, F., A Differential

Nativity (Christus) (4,317 words) [view diff] case mismatch in snippet view article

compass to sketch the spandrels. The painting contains several geometric constructions. The roof of the shed's trusses form series of triangles connecting

Malfatti circles (4,156 words) [view diff] exact match in snippet view article find links to article

10: 235–244. Martin, George Edward (1998), "Malfatti's Problem", Geometric Constructions, Undergraduate Texts in Mathematics, Springer-Verlag, pp. 92–95

Complex number (11,795 words) [view diff] case mismatch in snippet view article find links to article

géométriques [Essay on a way to represent complex quantities by geometric constructions] (in French). Paris, France: Madame Veuve Blanc. Gauss, Carl Friedrich

Mino Argento (3,220 words) [view diff] case mismatch in snippet view article find links to article

various forms lift these paintings out of the realm of simple geometric constructions into the area of the theoretical. In a sense, these white paintings

Group (mathematics) (13,144 words) [view diff] case mismatch in snippet view article

applications, the influence has also been reversed to motivate geometric constructions by a group-theoretical background. In a similar vein, geometric

History of science and technology on the Indian subcontinent (7,834 words) [view diff] case mismatch in snippet view article find links to article

Shatapatha Brahmana (9th century BCE) contains rules for ritual geometric constructions that are similar to the Sulba Sutras. Baudhayana (c. 8th century

Indian mathematics (13,949 words) [view diff] case mismatch in snippet view article find links to article

Satapatha Brahmana (c. 7th century BCE) contains rules for ritual geometric constructions that are similar to the Sulba Sutras. The Śulba Sūtras (literally

Wiles's proof of Fermat's Last Theorem (5,813 words) [view diff] case mismatch in snippet view article find links to article

simplifications to the 1995 proof, primarily in switching from geometric constructions to rather simpler algebraic ones. The book of the Cornell conference

Shirley Tse (2,753 words) [view diff] case mismatch in snippet view article find links to article

accumulations—and photographic series. In the latter work, she placed vaguely geometric constructions made from inflated plastic bags and sutured solar blankets in national-park

Strähle construction (4,987 words) [view diff] case mismatch in snippet view article find links to article

the sounding lengths in an octave after reading of the different geometric constructions described in an issue of Marpurg's Historisch-kritischen Beitragen

Role of Christianity in civilization (35,073 words) [view diff] case mismatch in snippet view article find links to article

"ordered all things by measure and number and weight") influenced the geometric constructions of Gothic architecture.[citation needed] British art historian

Nicholas D. Kazarinoff (1,666 words) [view diff] exact match in snippet view article find links to article

Nicholas D. (January 2003). Ruler and the Round: Classic Problems in Geometric Constructions. Courier Corporation. ISBN 978-0-486-42515-3. Bloom, Clifford O

Augustin-Jean Fresnel (26,142 words) [view diff] case mismatch in snippet view article find links to article

displacement might be constrained but was not static, and rays were geometric constructions, not countable objects. The conceptual gap between the wave theory

David Row (4,830 words) [view diff] case mismatch in snippet view article find links to article

surfaced reality—be it decorative patterning, direct appropriation, geometric constructions, or language. This initiative by the Janis Gallery spurred a plethora

Cartesian tensor (11,706 words) [view diff] case mismatch in snippet view article find links to article

+\mathbf {a} \times \mathbf {c} \end{aligned}}} without resort to any geometric constructions – the derivation in each case is a quick line of algebra. Although

Origin of coats of arms (9,167 words) [view diff] case mismatch in snippet view article find links to article

signs in the round. From banners come the colours and certain geometric constructions of the coat of arms, as well as the relationship between the coat