Results 21 to 30 of about 1,099,483 (264)
Discrete Mathematics, 2015 19 pages, 4 figures ...
Kittipassorn, Teeradej +1 more
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GEOMETRIC REDESIGN OF THE SUBDIVIDED SURFACE OF CC II: APPLICATION IN ARCHITECTURE
Journal of Industrial Design and Engineering Graphics, 2019 The concave polyhedral surface of CC II can be used as a structural template for architectural design of domes, roofs or other covering or stand-alone structures.
Marija OBRADOVIC
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Triangles II: Complex triangle coordinates
Aequationes Mathematicae, 1996 This is the second in a series of three papers examining Euclidean triangle geometry via complex cross ratios [for part I see ibid., No. 1-2, 30-54 (1996; see the paper above)]. In this paper the author introduces complex triangle coordinates in the Euclidean plane using cross ratios, and uses them to prove theorems about triangles. She then develops a
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The existence of a triangle when its three elements are known
Lietuvos Matematikos Rinkinys, 2022 The problem of the existence of a triangle with respect to three given elements in some cases can be very difficult. For example, Brokard's problem about the existence of a triangle, given its three bisectors [1], has a long history [3] and solved only ...
Edmundas Mazėtis +1 more
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Approximate Self-Assembly of the Sierpinski Triangle
, 2010 The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals.
D. Soloveichik +4 more
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Cultural landscape in theory. 2nd Part: Development of truth – paths and goals [PDF]
Urbani Izziv, 2002 The city grows from the seed to the core. The historical core is the central part with historical significance, around which other programmes are aligned. Possibilities define growth and density of a city, but this is the source of problems.
Borut Juvanec
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Triangle Inscribed-Triangle Picking [PDF]
The College Mathematics Journal, 2019 9 pages, 2 ...
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Triangles III: Complex triangle functions
Aequationes Mathematicae, 1997 This is the third in a series of three papers that examine Euclidean geometry via complex cross-ratios. The first two papers [ibid. 52, No. 1-2, 30-54 (1996; Zbl 0860.51009); ibid., No. 3, 215-245 (1996; Zbl 0860.51010)] considered triangle shapes and triangle coordinates.
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Apollonian Equilateral Triangles [PDF]
, 2013 Given an equilateral triangle with $a$ the square of its side length and a point in its plane with $b$, $c$, $d$ the squares of the distances from the point to the vertices of the triangle, it can be computed that $a$, $b$, $c$, $d$ satisfy $3(a^2+b^2+c ...
Chen, Christina, Li, Nan
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Tiling Billards on Triangle Tilings, and Interval Exchange Transformations
, 2018 We consider the dynamics of light rays in triangle tilings where triangles are transparent and adjacent triangles have equal but opposite indices of refraction. We find that the behavior of a trajectory on a triangle tiling is described by an orientation-
Baird-Smith, Paul +3 more
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