Hammock, Dugan J.

Title of Article

Visualizing 3-Dimensional Manifolds

Title Of Journal

Bridges

Publication Year

2013

Page

551-552

Notes

Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد

Abstract

Given a parametrized 3-dimensional manifold sitting in 4-dimensional space, we wish to visualize it by looking at its intersections with 3-dimensional hyperplanes. The intersections are 2-dimensional surfaces in 4-space which can then be projected into 3-space for visualization. In this paper I present an algorithm for displaying these surfaces of intersection using computer plotting applications (e.g. Mathematica, MATLAB, etc.).

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