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Binary Icosahedron
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Binary Icosahedron
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The Binary Icosahedron can be described as a semi-
regular solid bound by 12 isosceles facets and 8 equilateral facets.
The isosceles triangles are of a special type--sometimes
called a "Golden Triangle." The apex is 36 degrees while the base angles are twice that--72 degrees. The ratio of the base to the sides is .6180339; a proportion otherwise known as "phi" or "the Golden Section".
The sides of the 8 equilateral triangles are conjoined to
those of the isosceles to complete this solid.
Below: This pattern shows the relationship between
the 12 isosceles triangles. When folded, as shown, the Binary Icosahedron is formed in three dimensions. |
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You might notice that the lines defined by the edges of the Binary
Icosahedron are evident in some pentanon spheres. Perhaps the most apparent example is PS900...compared below. |
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PS900
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Binary Icosahedron
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copyrightrm/van2004
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36
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72
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60
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