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The net has to be such that the straight line is fully within it, and one may have to consider several nets to see which gives the shortest path. For example, in the case of a cube , if the points are on adjacent faces one candidate for the shortest path is the path crossing the common edge; the shortest path of this kind is found using a net ...
In geometry, a convex polyhedron whose faces are regular polygons is known as a Johnson solid, or sometimes as a Johnson–Zalgaller solid [1].Some authors exclude uniform polyhedra (in which all vertices are symmetric to each other) from the definition; uniform polyhedra include Platonic and Archimedean solids as well as prisms and antiprisms. [2]
The Utah 3D Animation Repository, a small collection of animated 3D models; scene collection, by Physically Based Rendering Toolkit: a number of interesting scenes to render with global illumination; MGF Example Scenes, a small collection of some indoor 3D scenes; archive3D, a collection of 3D models; 3DModels, a collection of vehicle 3D models
Solid Body Viewer is an interactive 3D polyhedron viewer which allows you to save the model in svg, stl or obj format. Interactive Folding/Unfolding Platonic Solids Archived 2007-02-09 at the Wayback Machine in Java; Paper models of the Platonic solids created using nets generated by Stella software; Platonic Solids Free paper models (nets)
A Plethora of Polyhedra – An interactive and free collection of polyhedra in Java. Features includes nets, planar sections, duals, truncations and stellations of more than 300 polyhedra. Hyperspace Star Polytope Slicer – Explorer java applet, includes a variety of 3d viewer options. openSCAD – Free cross-platform software for programmers ...
A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles. In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.
Nets of a cube. An elementary way to construct a cube is using its net, an arrangement of edge-joining polygons constructing a polyhedron by connecting along the edges of those polygons. Eleven nets for the cube are shown here. [24] In analytic geometry, a cube may be constructed using the Cartesian coordinate systems.
The Soma cube is a solid dissection puzzle invented by Danish polymath Piet Hein in 1933 [1] during a lecture on quantum mechanics conducted by Werner Heisenberg. [2] Seven different pieces made out of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes.