TITLE

Crocheting the Hyperbolic Plane

AUTHOR(S)
Henderson, David W.; Taimina, Daina
PUB. DATE
March 2001
SOURCE
Mathematical Intelligencer;Spring2001, Vol. 23 Issue 2, p17
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Illustrates how to crochet a hyperbolic plane and use the piece in understanding hyperbolic geometry. Proof that intrinsic geometry of horocycles is an approximation of hyperbolic geometry; Construction of hyperbolic planes; Characteristics of a hyperbolic plane; Hyperbolic isometrics and geodesics.
ACCESSION #
4776480

 

Related Articles

  • Density and equidistribution of half-horocycles on a geometrically finite hyperbolic surface. Schapira, Barbara // Journal of the London Mathematical Society;Dec2011, Vol. 84 Issue 3, p785 

    On geometrically finite negatively curved surfaces, we give necessary and sufficient conditions for a one-sided horocycle (hsu)s≥0 to be dense in the nonwandering set of the horocyclic flow. We prove that all dense one-sided orbits (hsu)s≥0 are equidistributed, extending results of...

  • A New Proof of Menelaus's Theorem of Hyperbolic Quadrilaterals in the Poincaré Model of Hyperbolic Geometry. Barbu, Cătălin; Smarandache, Florentin // International Journal of Mathematical Combinatorics;Jul2012, Vol. 3, p118 

    In this study, we present a proof of the Menelaus theorem for quadrilaterals in hyperbolic geometry, and a proof for the transversal theorem for triangles.

  • Transversals in plane hyperbolic geometry. Knüppel, Frieder // Journal of Geometry;Apr2014, Vol. 105 Issue 1, p13 

    In a plane hyperbolic geometry (in the sense of F. Bachmann's book 'Aufbau der Geometrie aus dem Spiegelungsbegriff') we prove that an asymptotic n-gon does not admit a transversal when n is odd; the assumption of n being odd is crucial. For each n one finds an asymptotic n-gon that does not...

  • On the hyperbolicity of surfaces of general type with small c12. Roulleau, Xavier; Rousseau, Erwan // Journal of the London Mathematical Society;Apr2013, Vol. 87 Issue 2, p453 

    Surfaces of general type with positive second Segre number s2: = c12 − c2 > 0 are known by the results of Bogomolov to be algebraically quasi-hyperbolic, that is, with finitely many rational and elliptic curves. These results were extended by McQuillan in his proof of the...

  • THE BEURLING OPERATOR FOR THE HYPERBOLIC PLANE. Hedenmalm, Håkan // Annales Academiae Scientiarum Fennicae. Mathematica;2012, Vol. 37 Issue 2, p3 

    We find a Beurling operator for the hyperbolic plane, and obtain an L2 norm identity for it, as well as two-sided Lp estimates.

  • Isotropy of unitary involutions. Karpenko, Nikita; Zhykhovich, Maksim // Acta Mathematica;Dec2013, Vol. 211 Issue 2, p227 

    We prove the so-called unitary isotropy theorem, a result on isotropy of a unitary involution. The analogous previously known results on isotropy of orthogonal and symplectic involutions as well as on hyperbolicity of orthogonal, symplectic, and unitary involutions are formal consequences of...

  • Crocheted shamrocks.  // Easy Does It Needlework & Crafts;Spring95, Vol. 2 Issue 1, p5 

    Presents steps on how to make a crocheted shamrock. Materials; Crochet stitches; Finishing.

  • Crocheted hearts.  // Easy Does It Needlework & Crafts;Spring95, Vol. 2 Issue 1, p14 

    Presents steps on how to crochet hearts to tuck on a Valentine's card or to pin on the lapel of a shirt. Materials for the project; Instructions on crochet stitches; Finishing touch.

  • Lacy snowflake-motif dresser scarf. Tate, Angela J. // Workbasket;Aug/Sep94, Vol. 59 Issue 6, p46 

    Provides tips on how to knit lacy snowflake-motif dresser scarf. Materials; Finished measurements; Gauge; Edging; Finishing.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics