## Publications

- Dechant P-P,
,__The birth of E8 out of the spinors of the icosahedron__*Proceedings of the Royal Society A*20150504 (2016), http://dx.doi.org/10.1098/rspa.2015.0504 - Dechant P-P,
,**The E8 geometry from a Clifford perspective***Advances in Applied Clifford Algebras*(2016), Distinction in the David Hestenes Prize - Dechant P-P,
,**A 3D spinorial view of 4D exceptional phenomena***Springer Proceedings in Mathematics and Statistics*(2016) - Dechant P-P,
,**Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction***Institute of Physics Conference Series*597 012027 (2016), doi:10.1088/1742-6596/597/1/012027 - Dechant P-P,
,**Clifford Algebra is the Natural Framework for Root Systems and Coxeter Groups. Group Theory: Coxeter, Conformal and Modular Groups***Advances in Applied Clifford Algebras*(2015); 10.1007/s00006-015-0584-3 **Dechant P-P**, Wardman J, Keef T, Twarock R,,**Viruses and Fullerenes – Symmetry as a Common Thread?***Acta Crystallographica*A70, 162-167 (2014),**Cover article March**,**Research Highlight in***Nature Physics***Dechant P-P**,,**A Clifford algebraic framework for Coxeter group theoretic computations***AGACSE 2012*, La Rochelle, France, 07/2012,**best paper award**;*Advances in Applied Clifford Algebras Volume*24, Issue 1, pp 89-108 (March 2014)**Dechant P-P**, Bœhm C, Twarock R,,**Affine extensions of non-crystallographic Coxeter groups induced by projection***Journal of Mathematical Physics*54, 093508 (2013),**Cover article September****Dechant P-P**,,**Platonic Solids generate their four-dimensional analogues***Acta Crystallographica*A69, 592-602 (2013)**Dechant P-P**,,**Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups***Advances in Applied Clifford Algebras*, Volume 23, Issue 2, pp 301-321 (June 2013)**Dechant P-P**, Bœhm C, Twarock R,,**Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups***Journal of Physics A: Math. Theor*. 45 (2012) 285202**Dechant P-P**,, PhD Thesis, Cambridge University__Models of the Early Universe__**Dechant P-P**, Lasenby A N, Hobson M P,,**Cracking the Taub-NUT***Classical and Quantum Gravity*, 27, 185010**Dechant P-P**, Lasenby A N, Hobson M P,,**Anisotropic, non-singular early universe model leading to a realistic cosmology***Physical Review D*, vol. 79, Issue 4, id. 043524