The GNU 3DLDF Polyhedra Page

Author: Laurence D. Finston

This copyright notice applies to the text and source code of this web site, and the graphics that appear on it. The software described in this text has its own copyright notice and license, which can be found in the distribution itself.

Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024 The Free Software Foundation, Inc.

Permission is granted to copy, distribute, and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, with no Front-Cover Texts, and with no Back-Cover Texts. A copy of this license is included in the file COPYING.TXT

Last updated: October 27, 2006.


Table of Contents

Top
Introduction
Classifying Points with Respect to a Polyhedron
Intersections
Cuboids
Regular Platonic Polyhedra (Under Construction)
Semi-Regular Archimedean Polyhedra (Under Construction)
Great Rhombicosidodecahedron
Catalan Solids (Archimedean Duals) (Under Construction)
Rhombic Triacontahedron
Contact

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Introduction


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Classifying Points with Respect to a Polyhedron


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Intersections

The Intersection Points of a Polyhedron and a Linear Path

2006.01.20.
The following four images illustrate the intersections of a dodecahedron and a linear path. The 3DLDF code for generating these images is in plyhd_01.ldf.

[Polyhedron-Linear Path Intersection 1]

Perspective Projection




[Polyhedron-Linear Path Intersection 2]

Parallel Projection, X-Z Plane




[Polyhedron-Linear Path Intersection 3]

Parallel Projection, X-Y Plane




[Polyhedron-Linear Path Intersection 4]

Parallel Projection, Z-Y Plane


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The Intersection of a Polyhedron and a Plane

2006.01.20.
The following four images illustrate the intersections of an icosahedron and plane. The 3DLDF code for generating these images is in plyhd_05.ldf.

[Polyhedron-Plane Intersection 1]

Perspective Projection




[Polyhedron-Plane Intersection 2]

Parallel Projection, X-Z Plane




[Polyhedron-Plane Intersection 3]

Parallel Projection, X-Y Plane




[Polyhedron-Plane Intersection 4]

Parallel Projection, Z-Y Plane


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