Nicolae Cotfas 1998 J. Phys. A: Math. Gen. 31 7273 doi:10.1088/0305-4470/31/35/008
On the affine self-similarities of the three-dimensional Penrose pattern
Nicolae Cotfas
Show affiliationsWe prove that the vertex set 
of the usual three-dimensional Penrose tiling admits an infinite number of independent scaling factors and an infinite number of inflation centres. More exactly, we prove that there exist an infinite number of real numbers 
and an infinite number of points 
such that 
.
- PACS
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- Dates
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Issue 35 (4 September 1998)
Received 16 April 1998
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On the affine self-similarities of the three-dimensional Penrose pattern
Nicolae Cotfas 1998 J. Phys. A: Math. Gen. 31 7273
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