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Serie XVII, Nr 6c

Regular polyhedron corresponding to a regular partition of the surface of the sphere. The icosahedral type.


Mathematical description
The model represents a regular polyhedron corresponding to a regular partition of the surface of the sphere. This model is of icosahedral type, i.e., the sphere is divided in 120 triangles with angles π/2, π/3, π/5. This triangles are given by the following:

                      f = vw(v10+11v5w5-w10)
                      H = -v20 + w20) + 228(v15w5 - v5w15) - 494v10w10
                      T = (v30 + w30) + 522(v25}w5 - v5w25) - 10005(v20w10 + v10w20),
where T2+H3-1728f5=0.

Title model and translation
Die den regulären Polyedern entsprechenden regulären Gebietseinteilungen auf der Kugel. Den Ikosaedertypus.
Regular polyhedron corresponding to a regular partition of the surface of the sphere. The icosahedral type.

Text on Sticker and translation
missing sticker.

Designer
Prof. Dr. Dyck
München in 1888

Company
Martin Schilling in Halle a.S.

Original price
Mark 9,20

Dimension
9 cm

Material
Plaster

Literature
Schilling, M., Catalog mathematischer Modelle für den höheren mathematischen Unterricht, Leipzig: Verlag von Martin Schilling, 1911