Introduction: The geologic features “shield fields” and “shield plains” (or “shield terrain”) have been used by a number of Venus researchers and authors of Venus geologic quadrangle maps. However, there has been occasional confusion concerning the two terms and the geologic units they define. Stratigraphic interpretation may vary due to the identification of clusters of small shields as either...

In this article, we prove a spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd, i.e. for every integer k in the interval [a, b], where a ≈ 3 5 q and b ≈ 9 10 q, there exists a maximal partial ovoid of Q(4, q), q odd, of size k. Since the generalized quadrangle W(q) defined by a symplectic polarity of PG(3, q) is isomorphic to the dual of the generalized quadr...

We study various graphs associated with symmetric groups. This leads to a quick understanding of automorphisms, dualities and polarities both for the Desargues configuration and the smallest generalised quadrangle. The results are used to establish the existence of outer automorphisms of the symmetric group on six symbols, and the exceptional isomorphism between the alternating group on six sym...

A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular.

The Trafalgar 7.5-minute quadrangle is situated near the maximum limit of Wisconsin Episode glacial deposits insouthwestern Johnson County. Till age (Trafalgar Formation) dominates surficial geology thequadrangle. Minor areas outwash and colluvium are found in valleys former meltwater pathways.Kame (sand gravel) northeast part a larger kame complexpresent central Holocene (post-glacial) alluviu...

In this paper, we describe a complete computer classification of the hemisystems in the two known flock generalized quadrangles of order (5, 5) and give numerous further examples of hemisystems in all the known flock generalized quadrangles of order (s, s) for s 6 11. By analysing the computational data, we identify two possible new infinite families of hemisystems in the classical generalized ...