The list is split into two groups:1. Geometry of disk arrangements2. Spinors in disk arrangements

** 1. Descartes, Apollonian, **

and other disk configurations

and other disk configurations

For the theorem on the disks in general configuration, see

**A theorem on circle configurations**

arXiv:0706.0372 (2007, 16 pages).

For the above interpreted as the (possibly) simplest proof of Descartes' formula, see

**Proof of Descartes circle formula and its generalization clarified**

[arXiv:1910.09174] (2019, 3 pages)

Applications of the generalized formula

**Lens sequences,**

Journal of Integer Sequences, Vol 23 (2020), Article 20.11.6 (36 pages)

**The Koide Lepton Mass Formula and Geometry of Circle Configurations**,

(2012, 3 pages) [arXiv:1201.2067] [Cited in the Wikipedia]

**On the Dedekind tessellation**,

[arXiv:1912.05768] (2019, 16 pages)

Other papers related to disk arrangements

**On a Diophantine equation that generates all integral Apollonian gaskets**,*ISRN Geometry.*Article ID 348618, 19 pages, 2012. doi:10.5402/2012/348618.

[arXiv:2008.04440]

**Apollonian depth and the accidental fractal**, (2020, 35 pages]

[arXiv:2002.04135]

**Fibonacci numbers and Ford circles**(2020, 8 pages)

[arXiv: 2003.00852]

**Coupled-ring resonance and unitary groups**(with M. Sayeh),*The Journal of the Optical Society of America B*,**36**(3), 2019, 667-673.

[arXiv:1807.06773]

**Skein relations for spin networks, modified**,*Journal of Knot Theory and Its Ramifications*,**27**(7) 2018 [arXiv:1807.07244 ]

**Golden Window**(2010),*Mathematics Magazine*,**83**(5) 2010, no. 5, pp. 228-237.

(This is a creative contribution, recreational mathematics)

**2. Apollonian tangency spinors**

**Introduced**here:

**Clifford algebras and Euclid's parameterization of Pythagorean triples**,*Advances in Applied Clifford Algebras (Mathematical Structures)*,**17**2007 pp. 71-93.

[arXiv:1201.4418]

For the more detailed exposition and the

**main theorems**and properties, see:**Spinors and the Descartes configuration of circles**

[arXiv:1909.06994] (2019, 21 pages)

Further development and various applications:

**Integral spinors, Apollonian disk packings, and Descartes groups**

[arXiv:2105.12950] (2021, 31 pages)**Apollonian depth, spinors, and the super-Dedekind tessellation**

[arXiv:2009.02680] (2020, 20 pages)

**Spinors, lattices, and classification of integral Apollonian disk packings**,

[arXiv:2001.05866] (2020, 35 pages)

**Tessellations and Descartes disk configurations**

[arXiv:1910.05919 ] (2019, 12 pages)

**Apollonian coronas and a new Zeta function**

[arXiv:1909.09941] (2019, 19 pages)

Perhaps one can find equations for the spinors in a given configuration?

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