**Icosahedron** Element Project Purpose: To research and become an expert on one specific element. Format: The information gathered will be presented in the form of an **icosahedron** (see attached instructions for the creation of the **icosahedron**) .

of SO (3) it is the proper symmetry group of the **icosahedron** (and the dodecahedron). It is the unique finite subgroup of SO (3) which equals its own commutator subgroup—in fact, it is the unique non-abelian simple finite subgroup of SO (3) .

1 How "Shaky" Is The Jessen's Orthogonal **Icosahedron** ? Jessen's Orthogonal **Icosahedron** "A shaky polyhedron constructed by replacing six pairs of adjacent triangles in an **icosahedron** (whose edges form a skew quadrilateral) with pairs of isosceles triangles sharing a common base.

Geometric Net of a Regular **Icosahedron** 1. Cut out along solid lines. 2. Fold on dotted lines. 3. Use clear tape to fasten. If you want to draw or color the net, do it before you tape it together.

The p -adic **Icosahedron** Gunther Cornelissen and Fumiharu Kato 720 N OTICES OF THE AMS V OLUME 52, N UMBER 7 T he last proposition in Euclid's Elements states that there are only five convex regular polyhedra, called the platonic solids (after Platon, who listed them in his Timaios around 350 B.C ...

Truncated **Icosahedron** Copyrights © 1998 - 2005 Gijs Korthals Altes www.korthalsaltes.com

Net for the **icosahedron** Downloaded from http: // mathworld. wolfram. com / pdf / **Icosahedron**. pdf For more information, see the MathWorld entry http: // mathworld. wolfram. com / **Icosahedron**. html

Net for the truncated **icosahedron** Downloaded from http: // mathworld. wolfram. com / pdf / TruncatedIcosahe dron. pdf For more information, see the MathWorld entry http: // mathworld. wolfram. com / TruncatedIcosahe dron. html

Quasi‑Equivalence theory When three subunits which are intrinsically asymmetric are placed in a triangular surface of an **icosahedron** with three‑fold symmetry one could place 60 subunits on the surface of the **icosahedron** in equivalent manner (Figure 1 (a.

5) 30-unit Stellated **Icosahedron** : Assemble 5 units in a circle as shown. Take 5 more units and add to the loose ends to form a ring of 5 pyramids.