3 in 1. Constructing, surface triangulation, visualizing polyhedron. New Version.
- Author:
- Roman Chijner
- Topic:
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Centroid or Barycenter, Combinatorics, Constructions, Coordinates, Cuboid, Equilateral Triangles, Geometric Mean, Geometry, Isosceles Triangles, Linear Programming or Linear Optimization, Matrices, Median Value, Polygons, Scalene Triangles, Solids or 3D Shapes, Special Points, Surface, Geometric Transformations, Triangles, Vectors, Volume
a. Construction the coordinates for Convex Polyhedra
For a given number of n particles on the sphere, their extreme distribution is found. The maximum sum of distances is found by the method of Lagrange multipliers.
Carry out the calculations:
1. Set→n: Number of points on the sphere. 2. →Click Input: Initial settings. 3. →Click Start: ☞
4. After an automatic stop, the message "Animation" changes to "Stop". →Click “Pass a to b”
b. Triangulation of polyhedral surfaces
This applet sorts and finds the vertices, surface segments, faces, and volume of the polyhedron and its dual image.
Carry out calculations first for 1. Polyhedron and then for its 2. Dual Polyhedron.
After that →“Pass b to c”
c. Coloring the edges and faces of a polyhedron and its dual image
In this section, elements of the polyhedron and its dual image are visualized and colored.
*Old Version: https://www.geogebra.org/m/aeqJmSdH