Seven-coloured Stellations of the Cuboctahedron
A multicoloured magnetic set to build all twelve stellations.
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Four-coloured Stellations of the Dodecahedron
A multicoloured magnetic set, inspired by Bob Hearn, to build all three stellations, following a colouring scheme proposed by George Hart. -
Four-coloured Stellations of the Rhombic Dodecahedron
A multicoloured magnetic set, inspired by Bob Hearn, to build all three stellations, following a colouring scheme proposed by George Hart. -
Compound of Five Dodecahedra
A compound constructed by rotating five copies of a dodecahedron by 0°, 72°, 144°, 216° and 288° respectively, around an axis through the centre of the dodecahedron. For one specific choice of this axis, the compound has icosahedral symmetry. -
Great Triambic Icosahedron
The physical construction of this Stellation of the Icosahedron illustrates the third technique to bypass the Zometool impossibility of connection multiple struts into the same hole. Now shortened struts connect to a hub with multiple input holes and one single output pin. -
Compound of Ten Tetrahedra
Another one of the 17 fully supported stellations of the icosahedron, in a cunning colour scheme devised by Robert Webb, the author of Stella. Besides the esthetical improvement, panels here provide a second technique to bypass the Zometool impossibility of having tips of multiple struts into the same hole of... -
Echidnahedron
Also known as the Final or Complete Stellation of the Icosahedron. It is actualy build here with standard blue Zometool struts and 3D printed modified g2 struts. -
Eighth Stellation of the Icosahedron
Some vZome models cannot be realized with Zometool, as that would require the ability to put the tips of multiple struts into the same hole of a connector. This model shows a first technique, 3D printing of modified struts, to bypass this problem. -
Compound of Five Octahedra
Another one of the 17 fully supported stellations of the icosahedron. Besides the esthetical improvement, panels here have as side-effect that all remaining edges can be represented by single piece Zometool struts. -
Compound of Two Icosahedra
An interesting uniform compound. The two Icosahedra have edges belonging to the blue and black orbits. Eight of their faces have hexagons in common. -
Compound of Two Dodecahedra
A model requiring both apple orbit struts and black orbit struts of vZome's golden field. The two dodecahedra are emphasized by 3D printed panels. -
Paneled Compound of Five Tetrahedra
One of the 17 fully supported stellations of the icosahedron. The 5 tetrahedra are emphasized by 3D printed panels. -
Hexacosichora
Using specific scaling factors for the H4 polychora generated by vZome's Polytope tool, it is easier to study how the various truncations of the Hexacosichoron relate to each other. -
Hecatonicosachora
Using specific scaling factors for the H4 polychora generated by vZome's Polytope tool, it is easier to study how the various truncations of the Hecatonicosachoron relate to each other. -
Larger subset 10-cube projection
A larger selection of the Icosahedral projection of the 10-cube, reproducing about 60% of the total number of struts. -
Small subset 10-cube projection
A selection of the Icosahedral projection of the 10-cube, revealing several non-intersecting polyhedra with icosahedral symmetry. -
Swirlprismatodiminished Rectified Hexacosichoron
A Zometool model for this convex scaliform polychoron was first constructed and shown on Facebook by user Starmute Seven. It is also a CRF polychoron, a generalization of a Johnson solid to 4D. -
Icositetrachoron Truncations
Several projections of truncations of an icositetrachoron can be build with Zometool, depending on which cell type the projection is centered on. Often blue-green and/or green-blue scaled struts are needed. -
Tesseract Truncations
Several projections of truncations of a tesseract can be build with Zometool, depending on which cell type the projection is centered on. Often blue-green and/or green-blue scaled struts are needed. -
Icosahedral Projections of 6-demicube
Zometool models for both icosahedral projections of the 6-demicube, following the guidelines of Paulo Freire. -
Compound of 6-cube and 6-orthoplex
Paulo Freire made Zometool models of the icosahedral projections of both the 6-cube and its dual, the 6-orthoplex. Here I present the building instructions for the compound of both in one single model. -
10-cube
Only to know how many struts building a physical model would require, all crossing struts in Scott's implementation of the Icosahedral projection of the 10-cube, have been replaced by intersecting struts. -
Gosset's 4_21 Polytope
An adaptation of Scott's implementation of the Gosset's 4_21 polytope. Both the elimination of overlapping struts and the replacement of crossing struts by intersecting half-blue struts has been performed programmatically. No attempt has been made to build this monster. -
Gosset's 3_21 Polytope
An adaptation of Scott's implementation of the Gosset's 3_21 polytope. -
Gosset's 2_21 Polytope
Yet another adaptation of Scott's implementation of a Gosset's polytope. -
Space Filling by Truncated Rhombicuboctahedra
A rhombicuboctahedron can be rectified or truncated. Both resulting pentacontahedra can be used as part of a space filling system. Both can be build with Zometool. -
Space Filling by Truncated Rhombic Dodecahedra
Truncated rhombic dodecahedra together with cubes and/or tetrahedra can be used as space filling systems. These can be build with Zometool if specific depths of truncation are chosen. -
Space filling by Combinations of Platonic and Archimedean Solids
Peter Pearce enlisted 11 space filling systems requiring multiple different types of polyhedra but no multiple prism packings. All of these systems can be build exactly with Zometool, if one is prepared to use both blue and blue-green struts. -
Stellated Dodecahedral Hexacosichoron
The regular compound of 75 hexadecachora, with full hexacosichoric symmetry. A 4-dimensional analogue of the compound of five octahedra. -
Medial Hexacosichoron
The regular compound of 120 pentachora, with full hexacosichoric symmetry. A self-dual 4-dimensional analogue of the compound of five tetrahedra. -
Compound of 5 Icositetrachora
A set of five icositetrachora with the same vertex arrangement of the hexacosichoron. This model closely resembles the models of the hexacosachoron and the small stellated hecatonicosachoron, but exhibits triality. -
Compound of 15 Hexadecachora
A non-regular stellation of the hecatonicosachoron. The Zometool model has only pyritohedric symmetry. -
Small Stellated Hecatonicosachoron
Also called the first stellation of the hecatonicosachoron. It is the 4D analog of the small stellated dodecahedron, which is the first stellation of the dodecahedron in 3D. -
Great Grand Stellated Hecatonicosachoron
The final regular stellation of the hecatonicosachoron. It is the 4D analog of the great stellated dodecahedron. FDM printing y00 struts, designed by Scott, avoids bending over some b2's over a y1 strut. -
Grand Hexacosichoron
The only regular stellation of the hexacosichoron. Like the hexacosichoron, it is an assembly of 600 regular tetrahedra in 4-dimensional space, arranged so that each edge is shared by 5 tetrahedra. -
Stellations of the Rhombic Triacontahedron
An overview of all fully supported stellations of the rhombic triacontahedron. All corresponding Zometool models can be build. In this post, no step-by-step instructions are provided for. -
Stellation VsXZr of the Rhombic Triacontahedron
A nice and large chiral stellation, with the original rhombic triacontahedron as central support. -
Rectified Hyperdual
The compound of the 3D projections of the rectified hecatonicosachoron and its dual, the rectified hexacosichoron. -
Hyperdual
The compound of the 3D projections of the hecatonicosachoron and its dual, the hexacosichoron. One of the most beautiful Zometool models Paul Hildebrandt has ever seen. -
Fully supported Stellations of the Icosahedron
Of the famous fifty-nine icosahedra, seventeen stellations are fully supported. For only eight of then, Zometool models can be build. Two models cover all eight, using blue, green and half-green struts. -
Compound of 6 Pentagonal Prisms
Another "even trickier" model George Hart proposed in 2001. Following these steps, no dexterity is needed. -
Compound of 5 Truncated Tetrahedra
A model proposed by George Hart more than 20 years ago. Follow these steps to physically build this compound, without dexterity issues. -
Compound of 5 Tetrahedra
A classic from the Zome Geometry book. An elaborate scaffolding ensures that both hands are free during the building process. -
Compound of 10 Triangular Prisms
One of the most frustrating models George Hart ever made. -
Drilled Truncated Dodecahedron
Bonnie Stewart's "Jewel in the Crown" of toroidal discoveries, connecting a dodecahedron kernel to a truncated dodecahedron shell by J5's. -
Cupola Drilled Truncated Icosahedron
A Stewart toroid, again connecting a rhombicosidodecahedron kernel to a rhombitruncated icosahedron shell, now by J5's. -
Rotunda Drilled Truncated Icosahedron
A Stewart toroid, connecting a rhombicosidodecahedron kernel to a rhombitruncated icosahedron shell by J6's.