The triangle is favoured because it offers a greater possible richness of association than other base-figures, such as square, hexagon, octagon, ordecagon.
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The 10 cell face to face path above maps to a 10 vertices path solely traversing along edges in the 600-cell, forming adecagon.
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Generally these dishes have ten equal walls (decagon) with a large bowl on one side and a smaller bowl ground out on the other.
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The valleys are 10 edge long closed paths and correspond to other instances of the 10-vertexdecagonpath mentioned above.
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On top of thedecagonsat an oval dome with a lantern, supported from within by six arches.
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The ratio of the side length of the hexagon to thedecagonis the golden ratio, so this triangle forms half of a golden rectangle.
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In either case, it is best to show the pentagram boundary line to distinguish it from a concavedecagon.
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A regulardecagonhas all sides of equal length and each internal angle equal to 144.
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The 10-cell geodesic path in the 120-cell corresponds to a 10-vertexdecagonpath in the 600-cell.
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The choir was closed with a semi-circular apse, which was encased within a halfdecagon.
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The golden triangle can also be found in adecagon, or a ten-sided polygon, by connecting any two adjacent vertices to the center.
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A polygon with ten sides is adecagon, and 10 is a decagonal number.
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Thedecagonwith its 3 meter-thick wall, divided into 10 sides, has a diameter of 17 m.
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