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  2. Net (polyhedron) - Wikipedia

    en.wikipedia.org/wiki/Net_(polyhedron)

    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 ...

  3. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    Uniform indexing: U01–U80 (Tetrahedron first, Prisms at 76+) ... Software able to generate and print nets for all uniform polyhedra. Used to create most images on ...

  4. File:Triakis tetrahedron net.svg - Wikipedia

    en.wikipedia.org/wiki/File:Triakis_tetrahedron...

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  5. Truncated tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_tetrahedron

    The truncated tetrahedron is an Archimedean solid, meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex. [6] The truncated tetrahedron has the same three-dimensional group symmetry as the regular tetrahedron, the tetrahedral symmetry T h {\displaystyle \mathrm {T ...

  6. Common net - Wikipedia

    en.wikipedia.org/wiki/Common_net

    In geometry, a common net is a net that can be folded onto several polyhedra. To be a valid common net, there shouldn't exist any non-overlapping sides and the resulting polyhedra must be connected through faces. The research of examples of this particular nets dates back to the end of the 20th century, despite that, not many examples have been ...

  7. List of Wenninger polyhedron models - Wikipedia

    en.wikipedia.org/wiki/List_of_Wenninger...

    Stella: Polyhedron Navigator Stella (software) - Can create and print nets for all of Wenninger's polyhedron models. Vladimir Bulatov's Polyhedra Stellations Applet; Vladimir Bulatov's Polyhedra Stellations Applet packaged as an OS X application Archived 2016-03-04 at the Wayback Machine

  8. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Net In geometry , the Rhombicosidodecahedron is an Archimedean solid , one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces . It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices , and 120 edges .

  9. Triakis tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Triakis_tetrahedron

    The triakis tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each ...