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Snub Expanded (0,0,12,17)-deltahedron
(0,0,12,38)-deltahedron consisting of 6 hexagonal modules (containing 2 spheres connected to 5 rods) with rows of triangles in between. It is completely rigid, and highly reminiscent of Alain Lobel's -
Augmented Truncated Dodecahedron
There are two (regular) ways of augmenting a Truncated Dodecahedron with pentagonal cupolae: cupola pairs connected square-to-square (CS2S) and connected triangle-to-triangle (CT2T). The Truncated Dodecahedron may also be augmented with pentagonal -
Lunar-holed Rhombicosidodecahedron E5/6J91(P4)
The Lunar-holed Rhombicosidodecahedron, Stewart's E5/6J91(P4). This is a Rhombicosidodecahedron (called E5 by Johnson), with a 6-way hole through it made from Stewart's 6J91(P4), as described on pages 128 -
General Deltahedron
Polyhedron (homeomorphic to a sphere) consisting of equilateral triangles only. If we define the valency of a sphere as the number of rods connected to it, and write the number of spheres with valencies 3 -
Tori
To make a sphere is easy (any of the truncated icosahedra will do), but how to make a torus? I used a small icosahedron as starting point, and bent it open at two pentagons having -
Truncated dodecahedron
Geomag doesn't come with decagonal panels, so they must be approximated with pentagonal cupolas. There's a rather surprising choice to be made when building this model: which way do I orientate the cupolas? -
Prism-Expanded Dissected Cuboctahedron
The Prism-Expanded Dissected Cuboctahedron is a Stewart Toroid that has a convex hull, but not all faces of that hull are regular. This particular toroid was discovered by Alex Doskey, which he named the -
Drilled truncated icosidodecahedron
Geomag realization of a large Stewart Toroid, named in the spirit of Stewart's Drilled Truncated Dodecahedron, which inspired this model. The original Drilled Truncated Dodecahedron has pairs of triangular faces (where the edges of -
Rhombic Triacontahedron (Internally supported)
The rhombic triacontahedron is made from thirty golden rhombii, with the sharp ends meeting at twelve valency five nodes, and the shallow ends meeting in twenty valency three nodes. It is possible to build a -
Pseudosphere From Geomag Box
This page will discuss the idea of building a spherelike polyhedron ("pseudosphere") based on completing the spherical shell shown on the cover of the 350 Geomag Case shown below. I was particularly intrigued since it -
Diamond
The diamond lattice gets its strength from the intricate interconnectedness of its basic carbon atoms. This model of the elementary lattice cell shows how each (yellow or green) carbon atom is connected (in red) to -
Geomag Weights and Measures
A Geomag Rod is 27.00mm long, and has a maximum diameter of 7.40mm. The spheres are 12.70mm in diameter. With use the rods may become slightly compressed, by about 0.1mm. -
Creased Platonic Deltahedra
You can make families of large Platonic solids with triangular faces (deltahedra), made sturdy by`creasing' their edges to become dome-like. The shapes that results are all deltahedra, and although the principles of construction -
Truncated Octahedron
Number of Faces: 14 (6 squares and 8 regular hexagons). Number of Vertices: 24 (2 hexagons and 1 sguare). -
Conservation of Angular Momentum
Use this very simple construction to demonstrate the principle of Conservation of Angular Momentum. The Geomag Manual describes this as "DANCING BALLERINA EFFECT”: the principle of energy conservation"; the original demonstrations described here follow those -
Penrose C4 Cartwheel
This is a placeholder for a Penrose C4 cartwheel. It can be built using the property that if you build a triangular pyramid on top of two connected rods that are spanning an angle of -
Main Page
The Geomag Wiki We are currently editing over 152 articles, and you can help (active since April 2007) About this wiki| New pages| New files| Active users| Categories| Wiki tutorial| Help pages Geomag Wikia News -
Truncated Cuboctahedron of Cubes
It's a truncated cuboctahedron on the outside, and a rhombicuboctahedron on the inside, and the two are connected by the cubes. Totals given in the summary box. -
Stewart's 6J91(P4)
Stewart's 6J91(P4) -- Six bilunabirotundas (6J91) surrounding a central cube (P4). Although the Geomag model shown at the right retains the inner (yellow) cube inside (for extra stability), this is not part of 6J91 -
Amafirlian Square
An Amafirlian Square is an alternative way of joining Geomag rods by connecting 4 rods in a cross wise fashion. As a result they can replace a rhombic face. An example can be seen in -
Suspended Circle
A fully suspended closed circle on two support legs. The loop is composed of 34 segments, alternating trianges with pyramids. Let alpha= arcsin(1/sqrt(3))= 35.264 degrees, be the semi-apex angle of -
Curved Triangle Using 30-gon Circle Arcs
This is a simplified form of the Curved Triangle that appears on page 92 of Stewart's book (Example 4, 2nd edition only) [I finally got a copy!]. The form presented here differs from Stewart -
Stellated Rhombic Triacontahedron
Stellated form of the rhombic triacontahedron, also known as the rhombic hexecontahedron. This model is supported internally by a spehere with valency 12. It consists of 20 golden parallelepipeds. The small diagonal is about 5 -
(0,18,0,80,24)-deltahedron
Star-shaped (0,18,0,80,24)-deltahedron consisting of 8 convex spheres connected to 4 rods (forming a cube), and 12 concave spheres connected to 4 rods (forming an octahedron). It is completely rigid -
Spiral spheres
This is a sphere-like object with a spiral running from North pole to South pole. It is a member of a family of such spiraled spheres, which can be made all the way down
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