Topic
Ordered geometry
About: Ordered geometry is a research topic. Over the lifetime, 597 publications have been published within this topic receiving 15206 citations.
Papers published on a yearly basis
1 / 2
Papers
1 Mar 1976
3,561 citations
Book•
1 Jan 1969
TL;DR: In this paper, the authors describe the topology of surfaces in the Euclidean plane, including the Golden Section and Phyllotaxis, as well as the five Platonic solids.
Abstract: Triangles. Regular Polygons. Isometry in the Euclidean Plane. Two--Dimensional Crystallography. Similarity in the Euclidean Plane. Circles and Spheres. Isometry and Similarity in Euclidean Space. Coordinates. Complex Numbers. The Five Platonic Solids. The Golden Section and Phyllotaxis. Ordered Geometry. Affine Geometry. Projective Geometry. Absolute Geometry. Hyperbolic Geometry. Differential Geometry of Curves. The Tensor Notation. Differential Geometry of Surfaces. Geodesics. Topology of Surfaces. Four--Dimensional Geometry. Tables. References. Answers to Exercises. Index.
1,833 citations
Book•
1 Jan 1952
TL;DR: The simplest curves and surfaces Regular systems of points Projective configurations Differential geometry Kinematics Topology Index as mentioned in this paper The simplest curve and surface regular system of points projective configurations Projective configuration
Abstract: The simplest curves and surfaces Regular systems of points Projective configurations Differential geometry Kinematics Topology Index.
881 citations
Book•
24 Nov 1995
TL;DR: In this article, the authors introduce differential geometry, non-commutative geometry, vector bundles, cyclic homology, and extensions of space-time, and show how these can be combined.
Abstract: 1. Introduction 2. Differential geometry 3. Matrix geometry 4. Non-commutative geometry 5. Vector bundles 6. Cyclic homology 7. Modifications of space-time 8. Extensions of space-time.
880 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2024 | 1 |
| 2023 | 4 |
| 2022 | 6 |
| 2021 | 3 |
| 2019 | 5 |
| 2018 | 3 |