E-commons

Art and Mathematics

E-commons Repository

Art and Mathematics

 

Publications authored by Eva Knoll pertaining to Art and Mathematics.

Recent Submissions

  • Knoll, Eva (Taylor & Francis Ltd., 2009-09-04)
  • Knoll, Eva (Taylor & Francis Ltd., 2009-03-24)
    The look and style of a hand-crafted object is in many cases closely connected to the specific techniques used in its creation. When designs and patterns are transferred from their traditional medium to a different one, ...
  • Knoll, Eva (2013-02-28)
    Le parallèle entre les structures des mondes 2-D et 3-D est un concept qui a depuis longtemps été pris pour acquis. La question peut se poser, pourtant, sur la façon dont cela se traduit dans le monde pratique, ...
  • Knoll, Eva (Bridges: Mathematical Connections in Art, Music, and Science, 2000)
    This is a preliminary report on design features of large, light-weight, modular equilateral triangles and classroom activities developed for using them. They facilitate the fast teaching of three dimensional geometry ...
  • Knoll, Eva (Springer-Verlag, 2002)
  • Knoll, Eva (International Society for Geometry and Graphics, 1998)
    Topology teaches us that the two dimensional plane and three dimensional space have a comparable structure. In fact, this apparent parallel is deeply rooted in our consciousness and is applied in many domains, including ...
  • Knoll, Eva; Morgan, Simon (Bridges: Mathematical Connections in Art, Music, and Science, 1999)
    The workshop is planned as the raising of an endo-pentakis-icosi-dodecahedron with a 1 meter edge length. This collective experience will give the participants new insights about polyhedra in general, and deltahedra in ...
  • Knoll, Eva (International Society of the Arts, Mathematics, and Architecture, 2000)
    Deltahedra are polyhedra with all equilateral triangular faces of the same size. We consider a class of we will call ‘regular’ deltahedra which possess the icosahedral rotational symmetry group and have either six or ...
  • Knoll, Eva (Bridges: Mathematical Connections in Art, Music, and Science, 2000)
    The following exercise is based on experiments conducted in circular Origami. This type of paper folding allows for a completely different geometry than the square type since it lends itself very easily to the creation ...
  • Knoll, Eva (A.K Peters, 2001)
  • Knoll, Eva (Bridges: Mathematical Connections in Art, Music, and Science, 2002)
    The following paper recounts the stages of a stroll through symmetry relationships between the regular tetrahedron whose faces were subdivided into symmetrical kites and the regular dodecahedron. I will use transformations ...
  • Knoll, Eva; Morgan, Simon (Bridges: Mathematical Connections in Art, Music, and Science, 2002)
    The present paper reports on children’s investigations using the giant equilateral triangles from the Geraldine Project2. It took place at the De Zavala Elementary School as the initial stage of a project in mathematics ...
  • Knoll, Eva (Bridges: Mathematical Connections in Art, Music, and Science, 2003)
    The goal of this paper is to illustrate how octahedra and tetrahedra pack together to fill space, and to identify and visualize the dual to this packing. First, we examine a progression of 2-D and 3-D space-filling packings ...
  • Knoll, Eva; Crowley, Mary (Bridges: Mathematical Connections in Art, Music, and Science, 2006)
    After introducing Su Doku, a popular number place puzzle, the authors describe a transformation of the puzzle where each number is replaced with a distinct colour. The authors investigate the nature of the experience of ...
  • Knoll, Eva; Sharp, John; Tobie, Roger (2008)
    D-Forms have been the subject of papers at previous Bridges Conferences, but not as a workshop. They are created by joining the edges of two flat surfaces that have the same length of perimeter. A related problem is to ...
  • Knoll, Eva (2008)
    This article reports on the resolution of a mathematical problem that emerged when two ideas were brought together. The first idea consists of a method for constructing a decorated bracelet made with safety pins that ...
  • Knoll, Eva (2009)
    Crafts are generally known for pieces whose structure and geometry are derived from the constraints of the techniques used. In particular, the look of specific patterns and textures are the natural product of the structure ...
  • Knoll, Eva; Taylor, Tara (2009)
    This workshop aims to explore various mathematical topics that emerge from examining classes of chains and their properties. Basic concepts are taken from topology, an area of mathematics that is concerned with notions ...
  • Knoll, Eva; Landry, Wendy (Bridges Coimbra Conference Proceedings, 2011)
    When Froebel, the inventor of the Kindergarten [1] designed the “Gifts” and “Occupations” given to the children, he deliberately selected materials that provided a haptic dimension to their explorations. This physicality ...

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