Hexagonal Mesh

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$Multidimensional continued fractions in the sense of Klein (pdf)$

Introduction Applications in architectural design -- glass/metal panels [Liu et al, 2006]
P-Quad <strong>Mesh</strong>es • P-Quad meshes, related to conjugate curve networks [SAUER 1970, Bobenko and Suris 2005] • Conical P-Quad meshes, related to curvature lines [Liu et al, 2006]
Page 1 and 2: Geometry and Computation of Mesh Su
Page 3: Approach proposed Computing P-Hex m
Page 7 and 8: P-Hex Mesh for Quadrics via Power D
Page 9 and 10: Support Functions [Almegaard et al,
Page 11 and 12: Projective Duality [Karahawada & Su
Page 13 and 14: What is a good triangulation in dua
Page 15 and 16: Main Results 1. A new method for co
Page 17 and 18: Shape of P-Hex Face on Surface Theo
Page 19 and 20: Conjugate directions on a developab
Page 22 and 23: Construction of P-Hex mesh using de
Page 24 and 25: Example of translational surface P(
Page 26 and 27: Does brick-wall initialization alwa
Page 28 and 29: Does center duality always work? Co
Page 30 and 31: Dupin Duality Let D denote Dupin co
Page 32 and 33: Non-convex P-Hex ---- Hyperbolic Ca
Page 34 and 35: Conditions on P-Hex Free of Self-in
Page 36 and 37: 1 2 3 3’ 2’ 1’ Traversal of 1
Page 38 and 39: Hyperbolic case - avoidance of self
Page 40 and 41: Hyperbolic case - characterization
Page 42 and 43: Example 1
Page 44 and 45: Example 1: Dupin dual (1+2)
Page 46 and 47: Example 2: Case of 2 +1
Page 48 and 49: Example 3
Page 50 and 51: Example 3: Dupin dual (0+3)
Page 52 and 53: Example 4: Case of 2+1
Page 54 and 55:
Example 5
Page 56 and 57:
Example 5: Dupin dual (3+0)
Page 58 and 59:
Example 6: Enneper surface - check
Page 60 and 61:
Example 7: Catalan surface - triang
Page 62 and 63:
Example 7: Catalan surface - Dupin
Page 64 and 65:
Example 8: Kinky torus - close-up v
Page 66 and 67:
Summary We have provided local shap
Page 68:
• Thank you
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Hexagonal Mesh

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