Icosahedral System • Equal Central Angle

Icosahedral System • Equal Central Angle

TaffGoch
"Equal Central Angle Conjecture" • Author: Joseph D. Clinton • Paper can be downloaded from a few online sources, in PDF format • "THE CONJECTURE: A sphere may be tessellated in such a manner that it will be made up of a group of spherical polygons, with edges having equal central angles and having the topological characteristics of the Goldberg polyhedra" • The paper includes icosahedral, octahedral and tetrahedral systems of geodesic tesselations of spherical form • This model depicts only the icosahedral system (9 examples) from the paper • The hexagons have equal-length arc edges (and central angles) but are not regular, as the surface angles are not equivalent, except for the two simplest examples • Note that there are some precision errors in a couple of the angle values presented in the paper's data tables, so all values were recalculated and/or remodeled #buckminster #bucky #dome #fuller #geodesic #icosahedral #icosahedron #polyhedra #polyhedron
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