geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it...

the great icosahedron (one of the Kepler–Poinsot polyhedra), and the second and final stellations of the icosahedron. The 59th model in The fifty nine...

certain stellations of the regular convex or Platonic icosahedron, according to a set of rules put forward by J. C. P. Miller. First published by the University...

represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron. All...

In the geometry of three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations...

58 such stellations of the regular icosahedron. Of these, many have a single face in each of the 20 face planes and so are also icosahedra. The great icosahedron...

is the dual polyhedron to the rectified truncated icosahedron, a near-miss Johnson solid. On the other hand, the final stellation of the icosahedron has...

polyhedron, the pentagonal hexecontahedron, has 92 vertices. On the other hand, as a simple polyhedron, the final stellation of the icosahedron has 92 vertices...

the Platonic solids, pp. 96–104 Weisstein, Eric W., "Great icosahedron" ("Uniform polyhedron") at MathWorld. Weisstein, Eric W. "Fifteen stellations of...

The great icosahedron is one of the stellations of the icosahedron. (See The Fifty-Nine Icosahedra) The three others are all the stellations of the dodecahedron...

The edge lengths of the cube and the inscribed icosahedron are in the golden ratio. The icosahedron has a large number of stellations. Coxeter et al. (1938)...

hemisphere Final stellation of the icosahedron, also called the "complete stellation of the icosahedron" In projective geometry, the complete icosahedron is a...

to: W42 (nuclear warhead) Fallston Airport, in Maryland Final stellation of the icosahedron Shibetsu Station, in Hokkaido, Japan W42, a Toyota W transmission...

as the star of Goliath, after {6/2} or 2{3}, the star of David. The nine-pointed star or enneagram can also symbolize the nine gifts or fruits of the Holy...

configuration, with the regular dodecahedron, as well as being a stellation of a (smaller) dodecahedron. It is the only dodecahedral stellation with this property...

under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same...

B. G. Teubner, 1900). The shapes first studied in this book include the final stellation of the icosahedron and the compound of three octahedra, made...

the year Max Brückner published his study of polyhedral models, including stellations of the icosahedron, such as the novel final stellation of the icosahedron...

uniform polyhedra. The exterior surface also represents the De2f2 stellation of the icosahedron. These figures can be differentiated by marking which intersections...

The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron...

great grand stellated 120-cell is the final stellation of the 120-cell, and is the only Schläfli-Hess polychoron to have the 120-cell for its convex hull....

The compound of ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron...

both the uniform polyhedra and stellation groupings. back to top back to top back to top List of uniform polyhedra The fifty nine icosahedra List of polyhedral...

prefix modifiers: g, a, and s for great, (ag)grand, and stellated. The final stellation, the great grand stellated polydodecahedron contains them all as gaspD...

great icosahedron's duality with the great stellated dodecahedron (which in turn is also analogous to the pentagram); all of these are the final stellations...

1876. It is unique among the regular compounds for not having a regular convex hull. It is the second stellation of the icosahedron, and given as Wenninger...

The Final Stellation, ISBN 1-899618-61-9. Advanced Polyhedra 2: The Sixth Stellation, ISBN 1-899618-62-7. Advanced Polyhedra 3: The Compound of Five...

group [3,4,3]: the 24-cell {3,4,3}, self-dual; group [3,3,5]: 600-cell {3,3,5}, its dual 120-cell {5,3,3}, and their ten regular stellations. group [31,1...