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omdl
v0.6.1
OpenSCAD Mechanical Design Library
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omdl
v0.6.1
OpenSCAD Mechanical Design Library
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Polygon and polyhedron mathematical functions. More...
#include <math-base.scad>
Include dependency graph for math_polytope.scad: This graph shows which files directly or indirectly include this file:Go to the source code of this file.
Functions | |
| function | polytope_faces2edges (f) |
| List the edge coordinate index pairs of a polytope. More... | |
| function | polytope_limits (c, f, a, d=[0:2], s=true) |
| Determine the bounding limits of a polytope. More... | |
| function | polytope_bbox_pf (c, f, a) |
| Generate a bounding box polytope for another polytope in 3d or 2d. More... | |
| function | polytope_line (c, f, e, i, l, r=false) |
| Get a line from an edge or any two vetices of a polytope. More... | |
| function | polytope_vertex_av (f, i) |
| List the adjacent vertices for a given polytope vertex. More... | |
| function | polytope_vertex_af (f, i) |
| List the adjacent face indexes for a polytope vertex. More... | |
| function | polytope_edge_af (f, e, i) |
| List the adjacent face indexes for a polytope edge. More... | |
| function | polytope_vertex_n (c, f, i) |
| Get a normal vector for a polytope vertex. More... | |
| function | polytope_edge_n (c, f, e, i) |
| Get a normal vector for a polytope edge. More... | |
| function | polytope_face_n (c, f, i, l, cw=true) |
| Get the normal vector of a polytope face. More... | |
| function | polytope_face_m (c, f, i, l) |
| Get the mean coordinate of all vertices of a polytope face. More... | |
| function | polytope_face_mn (c, f, i, l, cw=true) |
| Get the mean coordinate and normal vector of a polytope face. More... | |
| function | polytope_plane (c, f, i, l, cw=true) |
| Get a plane for a polytope face. More... | |
| function | polytope_face_vcounts (f) |
| List the vertex counts for all polytope faces. More... | |
| function | polytope_face_angles (c, f) |
| List the angles between all adjacent faces of a polyhedron. More... | |
| function | polytope_edge_lengths (c, e) |
| List the edge lengths of a polytope. More... | |
| function | polytope_edge_angles (c, f) |
| List the adjacent edge angles for each polytope vertex. More... | |
| function | polytope_faces_are_regular (c, f, e, d=6) |
| Test if the faces of a polytope are all regular. More... | |
| function | polytope_triangulate_ft (f) |
| Triangulate the faces of a convex polytope using fan triangulation. More... | |
| function | polygon2d_perimeter (c, p) |
| Calculate the perimeter length of a polygon in 2d. More... | |
| function | polygon2d_area (c, p, s=false) |
| Compute the signed area of a polygon in a Euclidean 2d-space. More... | |
| function | polygon3d_area (c, p, n) |
| Compute the area of a polygon in a Euclidean 3d-space. More... | |
| function | polygon2d_centroid (c, p) |
| Compute the center of mass of a polygon in a Euclidean 2d-space. More... | |
| function | polygon2d_is_cw (c, p) |
| Test the vertex ordering of a polygon in a Euclidean 2d-space. More... | |
| function | polygon2d_is_convex (c, p) |
| Test the convexity of a polygon in a Euclidean 2d-space. More... | |
| function | polygon2d_winding (c, p, t) |
| Compute the winding number of a polygon about a point in a Euclidean 2d-space. More... | |
| function | polygon2d_is_pip_wn (c, p, t) |
| Test if a point is inside a polygon in a Euclidean 2d-space using winding number. More... | |
| function | polygon2d_is_pip_as (c, p, t) |
| Test if a point is inside a polygon in a Euclidean 2d-space using angle summation. More... | |
| function | polyhedron_area (c, f) |
| Compute the surface area of a polyhedron in a Euclidean 3d-space. More... | |
| function | polyhedron_volume_tf (c, f) |
| Compute the volume of a triangulated polyhedron in a Euclidean 3d-space. More... | |
| function | polyhedron_centroid_tf (c, f) |
| Compute the center of mass of a triangulated polyhedron in a Euclidean 3d-space. More... | |
| function | linear_extrude_pp2pf (c, p, h=1, centroid=false, center=false) |
| Convert a polygon to a polyhedron by adding a height dimension. More... | |
Polygon and polyhedron mathematical functions.
This file is part of omdl, an OpenSCAD mechanical design library.
The omdl is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version.
The omdl is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License along with the omdl; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA; or see http://www.gnu.org/licenses/.
Definition in file math_polytope.scad.