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NOEN BEMERKNINGER OM BRUNS KULENETT

HANS GEORG KILLINGBERGTRØ
Nordisk Matematisk Tidskrift
Vol. 24, No. 2 (1976), pp. 53-55
Published by: Mathematica Scandinavica
Stable URL: http://www.jstor.org/stable/43774450
Page Count: 3
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NOEN BEMERKNINGER OM BRUNS KULENETT
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Abstract

Brun's spherical tessellations, as described in [1], originate from the icosahedric tessellation (dotted in fig. 1 p. 54) when the sides of the 20 triangles are twisted in a certain manner (thin lines), and thus producing room for 12 spherical pentagons (heavy lines). This twisting gives a continuous spectrum of different tessellations. It is pointed out that this spectrum may also originate from the dodecahedric tessellation (broken lines). A certain Archimedean tessellation (grey triangles and white pentagons) appears particularly in the spectrum. Similar twistings from other Platonic tessellations, and the particular Archimedean or Platonic cases are shown in figs. 2-3.

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