Coxeter's loxodromic sequence of tangent circles
In geometry, Coxeter's loxodromic sequence of tangent circles is an infinite sequence of circles arranged so that any four consecutive circles in the sequence are pairwise mutually tangent. This means that each circle in the sequence is tangent to the three circles that precede it and also to the three circles that follow it. The radii of the circles in the sequence form a geometric progression with ratio where φ is the golden ratio. k and its reciprocal satisfy the equation and so any four consecutive circles in the sequence meet the conditions of Descartes' theorem.
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Coxeter's loxodromic sequence of tangent circles
In geometry, Coxeter's loxodromic sequence of tangent circles is an infinite sequence of circles arranged so that any four consecutive circles in the sequence are pairwise mutually tangent. This means that each circle in the sequence is tangent to the three circles that precede it and also to the three circles that follow it. The radii of the circles in the sequence form a geometric progression with ratio where φ is the golden ratio. k and its reciprocal satisfy the equation and so any four consecutive circles in the sequence meet the conditions of Descartes' theorem.
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In geometry, Coxeter's loxodro ...... cial case of the Doyle spiral.
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Coxeter's Loxodromic Sequence of Tangent Circles
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CoxetersLoxodromicSequenceofTangentCircles
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In geometry, Coxeter's loxodro ...... ditions of Descartes' theorem.
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Coxeter's loxodromic sequence of tangent circles
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