Fundamental Icosahedral Ball 88625652 2020-09-30 | An icosahedral tessellation of icosahedrons in its most basic arrangement. Every icosahedral model has a straight grouping from any vertex of an odd number of polyhedrons. This model has 3 straight-line polyhedrons and the next size up would use 5 polyhedrons. The basic model with 3 polyhedrons contains 102 polyhedral units in total. All the fundamental models contain a total number of polyhedrons ending in the number two. Larger versions lose this numerical connection.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
0001 0260 88625652 2022-12-27 | This particular fundamental tessellation comprises of a buckytube of truncated-Icosahedron connected as an external covering by truncated tetrahedra through their hexagonal axis. The truncated tetrahedra are then stitched together with the triangular surfaces of each tetrahedra as well as their hexagonal surfaces. All Rights Reserved. 23/09/2020If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Rhombic Icosidodecahedron 88625652 2020-10-20 | This cut away view of the polyhedral model is constructed entirely with a Rhombic Dodecahedron of the second kind. Possibly called the Bilinski Dodecahedron. The Rhombus in this case has the dimensions of the golden ratio.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
ICOSAHEDRAL TESSELLATION OF ICOSAHEDRON. (Covid-19) 88625652 2020-10-19 | This model is representative of a second level tessellation of icosahedron forming a radial expansion similar to the surface structure of the Covid-19 virus. (Only the surface topology is shown here). The individual structural icosahedron units are indicative of the atomic and molecular structure of the natural world. In this event, all of nature's atomic arrangements will follow the geometric imperative of all the platonic solids and their extended uniform polyhedra. The maths for this model is unfortunately hidden in the computer programming.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Dodecahedron of icosahedrons. 88625652 2020-10-05 | A radial expansion of a Dodecahedron created from icosahedrons.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Bucky-tube of Truncated Dodecahedrons 88625652 2020-10-04 | End capped Bucky-tube of Truncated Dodecahedrons.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
TRUNCATED ICOSAHEDRA BUCKYTUBE WITH TRUNCATED TETRAHEDRA OVERLAID. 88625652 2020-09-22 | This particular fundamental tessellation comprises of a buckytube of truncated-Icosahedron connected as an external covering by truncated tetrahedra through their hexagonal axis. The truncated tetrahedra are then stitched together with the triangular surfaces of each tetrahedra as well as their hexagonal surfaces. All Rights Reserved. 23/09/2020If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Radial Expansion from an Icosahedral Ball 88625652 2014-08-06 | Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the silver rhombus (length to width ratio of 1.426316258).If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio, Nanotechnology, biomotor, nanomotor, Buckminsterfullerenes,Copyright: Copyright 2010, All rights reserved
24 Icosahedron Ring Bucky Tube 88625652 2014-08-05 | Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterises the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the silver rhombus (length to width ratio of 1.426316258).If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratioCopyright: Copyright 2010, All rights reserved
Triacontahedron of Icosidodecahedrons 88625652 2014-07-18 | Triacontahedron of icosidodecahedrons. Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterises the radial expansion of many so called Quasicrystals, Buckytubes, Buckyballs etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the golden rhombus (length to width ratio of 1.618033989).If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio, Nanotechnology, biomotors, nanomotors, Buckminsterfullerenes,Copyright: Copyright 2010, All rights reserved
Quasi-Icosahedron Stellation of Truncated Tetrahedrons and Tetetrahedrons_Embedded icosahedron 88625652 2014-07-18 | Polyhedrons/Icosahedron-truncated tetrahedron-tetrahedron.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
The Golden-ratio Rhombic Dodecahedron from icosidodecahedrons 88625652 2014-07-18 | Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the golden ratio rhombus.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratioCopyright: Copyright 2010, All rights reserved
Pentagonal Bipyamid of Tetrahedrons and Truncated Tetrahedrons 88625652 2014-07-18 | Polyhedrons/Truncated tetrahedrons-tetrahedrons.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Rhombic Dodecahedron of truncated cubes 88625652 2014-07-14 | Polyhedron/Truncated cube.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Rhombic Dodecahedron of Icosidodecahedrons 88625652 2014-07-14 | Rhombic Dodecahedron of Icosidodecahedrons. Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of the golden mean. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterises the radial expansion of many so called Quai- crystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. The models made with the Golden ratio rhombus ' exhibit either tenfold or fivefold rotational symmetry. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcECopyright: All rights reserved.
Rhombic Hexecontahedron_With Embedded Icosidodecahedron 88625652 2014-07-14 | Polyhedrons/Icosidodecahedron-tetrahedron-octahedron.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Stellated Pentagonal Arrangement of Icosidodecahedrons 88625652 2014-07-14 | Polyhedrons/Icosidodecahedrons-tetrahedrons-octahedrons. Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the silver rhombus (length to width ratio of 1.426316258).If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratioCopyright: Copyright 2010, All rights reserved
Icosidodecahedrons enveloped in alternate octahedrons and tetrahedrons 88625652 2014-07-14 | Icosidodecahedrons-tetrahedrons-octahedrons.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Negative icosahedron 88625652 2014-07-14 | Polyhedrons/Octahedrons-tetrahedrons.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Exploding Truncated Tetrahedrons_Embedded Icosahedron 88625652 2014-07-14 | Polyhedrons/Truncated tetrahedrons-icosahedron.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
A quasi-rhombic model 88625652 2014-05-25 | Made from: icosidodecahedronCreated with: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Icosahedron, octahedron, cuboctahedron model 88625652 2014-05-25 | Made from: icosahedron octahedron cuboctahedronCreated with: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Edge to edge/face to face combination 88625652 2014-05-25 | Made from: icosidodecahedron dodecahedronCreated with: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Octahedrons and tetrahedrons_Embedded icosahedron 88625652 2014-05-25 | Made from: icosahedron octahedrons tetrahedronsCreate by: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Open complex viral model 88625652 2014-05-25 | Made from: icosidodecahedron dodecahedron tetrahedron octahedron cuboctahedronCreated with: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Embedded Icosidodecahedrons/tetrahedrons and octahedrons 88625652 2014-05-25 | Made from: icosidodecahedron tetrahedron octahedronCreated with: PolyModel the SketchUp plugin.If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.
Rhombic sheet (single layer) of dodecahedra 88625652 2010-07-04 | Model: TKR062 Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of the golden mean. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quai- crystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. The models made with the Golden ratio rhombus ' exhibit either tenfold or fivefold rotational symmetry. If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcECopyright: All rights reserved.
Rhombic sheet (single layer) of icosahedra 88625652 2010-07-04 | Model: TKR061 Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of 1.4121 (silver ratio). From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quai- crystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcECopyright: All rights reserved.
Complex decagonal/pentagonal lattice of dodecahedra (Polyhedra) 88625652 2010-07-04 | Model: TKR060 Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of the golden mean. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quasi- crystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All though, make use of the same 2D rhombohedron unit cell. 1. Triacontahedron or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. The models made with the Golden ratio rhombus ' exhibit either tenfold or fivefold rotational symmetry. If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Copyright: All rights reserved.
Truncated Octahedral core embeded in a Rhombic Dodecahedron 88625652 2010-04-18 | Model: TKR058 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Tetrahedron of octahedra 2 88625652 2010-04-18 | Model: TKR059 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Structural element of octahedra 88625652 2010-04-18 | Model: TKR057 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Rhombic Dodecahedron of octahedra 88625652 2010-04-18 | Model: TKR056 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Open cage truncated dodecahedron of octahedra 2 88625652 2010-04-18 | Model: TKR056 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Hex rod of octahedra 88625652 2010-04-18 | Model: TKR054 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Minimal structural element of octahedrons 2 88625652 2010-04-18 | Model: TKR055 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Cubic cell of octahedrons 2 88625652 2010-04-18 | Model: TKR053 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Complex lattice of oblate rhombohedrons of octahedra 88625652 2010-04-18 | Model: TKR052 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Closed square section tube of octahedra 88625652 2010-02-28 | Model: TKR051 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Radial expansion of icosahedra 88625652 2010-02-28 | Model: TKR050 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Truncated octahedron of truncated tetrahedra of octahedra 88625652 2010-02-28 | Model: TKR049 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Stellated rhombic dodecahedron of icosahedra 88625652 2010-02-28 | Model: TKR048Polyhedral radial expansion and regular crystal lattices through dodecahedra and icosahedra periodicity. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterizes the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedron or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. This model is made with the silver rhombus (length to width ratio of 1.426316258).If you type in: "Polyhedra 8862565" you can see more videos of the same subject more easily.http://www.vacuumphysics.netMusic courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcEKeywords: polyhedron, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratioCopyright: Copyright 2010, All rights reserved
truncated tetrahedron of octahedra 88625652 2010-02-28 | Model: TKR047 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Rhombic dodecahedron of octahedra 88625652 2010-02-28 | Model: TKR046 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Regular hexagonal lattice of dodecahedra 88625652 2010-02-28 | Model:TKR045 Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of the golden mean. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterises the radial expansion of many so called Quasicrystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. The models made with the Golden ratio rhombus exhibit either tenfold or fivefold rotational symmetry. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio Copyright: Copyright 2010, All rights reserved
Radial expansion of hexagonal sections on a truncated cubic seed of octahedra 88625652 2010-02-28 | Model: TKR044 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Pentagonal asymmetric bipyramid 88625652 2010-02-28 | Model: TKR043 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Intersecting hexagonal to square section of octahedra (zig-zag buckytube) 88625652 2010-02-28 | Model: TKR041 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
Connected square tubes of octahedra 88625652 2010-02-28 | Model: TKR040 Polyhedral radial expansion and regular crystal lattices through octahedral periodicity. From the above comes a spatial transformation into a 3D rhombohedron, rhombic dodecahedron and cubic radial expansion, which characterises many so called, Bucky Tubes, Buckyballs etc. All though make use of a 2D rhombic unit cell. 2. 3D Rhombic Dodecahedron. 3. Rhombohedron (Hexahedron). 4. Oblate rhombohedron. The ratio between the long and short axis of this rhombus is 1.414213562. http://www.vacuumphysics.net Music courtesy of audionautix http://www.youtube.com/watch?v=4_NWf8RQCcE Keywords: polyhedra, octahedron, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio. Copyright: Copyright 2010, All rights reserved
