Real Stable, Stable, And Not-So Stable Polyhedra: All Stemming From A New Family

1996 ◽  
Vol 11 (1-2) ◽  
pp. 251-256
Author(s):  
Joseph D. Clinton

A description of a Family of Polyhedra is given where the parent forms are the five regular polyhedra. The facial planes of the parent forms are subdivided into right triangles and by a series of rearrangements are allowed to move out of plane thus creating new volumetric forms while maintaining the same surface area. The axes of symmetry of the parent polyhedra are preserved. One new form is less stable than the parent and the other is more stable than the parent; thus giving rise to a family of real stable, stable and not-so stable polyhedra. Illustrations of all fifteen polyhedra in the family are given along with tables describing several of their geometric properties. The influence of precision on geometrical stability will also be demonstrated as related to architectural applications.

Author(s):  
A.G. CORBALAN ◽  
M. MAZON ◽  
T. RECIO

In this paper we study some unexpected geometric properties of the family of bisector lines for a convex distance d, showing that bisectors do not always have an asymptotic line (Section 2). Moreover, although bisectors are homeomorphic to lines, pairs of them can exist intersecting infinitely many times (Section 3). This leads to the conclusion that convex distances are not always nice in the sense of Klein and Wood.7 On the other hand, we prove that distances d, having d-balls whose boundary is given by finitely many algebraic conditions, produce nice distances (Section 3).


2019 ◽  
Vol 15 (2) ◽  
pp. 116
Author(s):  
Rahimah Hamdan ◽  
Arba’ie Sujud

This paper was aimed at identifying the guidance to parenting that emerged in the first Malay autobiography, the Hikayat Abdullah, and subsequently, to analyse those instructions on parenting in the context of the traditional Malay society of the 19th century. The recognition accorded to Abdullah Munshi as the Father of Modern Malay Literature has attracted various reactions from scholars. Some scholars regard Abdullah Munshi as the one who brought renewal to Malay literature through his courageous criticism of the customs and culture that had been in practice for generations. On the other hand, there are scholars who disapprove of that recognition being given to him and who consider Abdullah Munshi’s criticisms in his works as a deviation from the reality expressed in previous works. Nevertheless, not a single study has suggested that perhaps Abdullah Munshi firmly emphasized those criticisms with the intention of providing some sort of guidance. Hence, by analysing certain texts in the Hikayat Abdullah and by reviewing the evidence from the perspective of Swettenham (1895), who objectively evaluated the thinking and culture of the Malay community, this study was able to rectify the image of Abdullah Munshi, who, all this while, was considered to be pro-British because of his harsh criticism of the Malay community. Moreover, those criticisms were meant to provide guidance for the family institution, especially for parents. This indirectly proves that Abdullah Munshi took a serious view of parenting and believed that improvements were necessary to produce a dignified and civilized generation. In conclusion, the autobiography, the Hikayat Abdullah, was not just a new form of writing that deviated from the conventions of traditional Malay literature, but was the fruit of the wisdom of the author that was meant to benefit his readers.


2014 ◽  
Vol 28 (2) ◽  
pp. 196 ◽  
Author(s):  
Thomas Wesener

Cyliosoma Pocock, 1895, the oldest available genus name for Australian giant pill-millipedes, is revised with a redescription of its type species, Sphaerotherium angulatum Butler, 1878. All 16 species of Epicyliosoma Silvestri, 1917 are transferred to Cyliosoma, together with two species, Sphaerotherium fraternum Butler, 1872 and S. marginepunctatum Karsch, 1881, which are redescribed here. A new phylogenetic analysis of the Sphaerotheriida was conducted using 100 morphological characters and including two Cyliosoma species and four recently described or redescribed species of the family Zephroniidae. Most character states are illustrated for Cyliosoma, including the first SEM images of a member of the genus. Cyliosoma is neither closely related to the South African Sphaerotherium, nor to the other Australian genus, Procyliosoma, and is here placed in a new family, Cyliosomatidae. The monotypic Australian genus Cynotelopus Jeekel, 1986 is also referred to the Cyliosomatidae. The current position of the Cyliosomatidae is in a trichotomy including the South African Sphaerotheriidae and the Malagasy–Indian Arthrosphaeridae.


1900 ◽  
Vol 32 (2) ◽  
pp. 30-33 ◽  
Author(s):  
Nathan Banks

In 1871, Thorell published his description of Rhagidia in a paper entitled, “Om Arachnider fran Spetsbergen och Beeren-Eiland.” He placed it in the family Eupodidœ, from the other genera of which it differed principally in the great size of the mandibles. In 1876, Cambridge, in his paper “On a new Order and some new Genera of Arachnida from Kerguelen's Land,” described Pœcilophysis as the type of a new family and a new order. He was unaware of Thorell's mite, yet there is but one prominent difference between them, Pœcilophysis is said to have eyes on the frontal tubercle. Neither of these authors gave any reference to any species of Koch's genus Scyphius, to which their forms bear a great resemblance. Koch described about a dozen species of this genus, many of which are doubtless only forms of one species. In the modern European literature, nothing is done with Koch's species of this genus, save by Oudemans (1897), who identifies four of the Kochian names. Oudemans, however, appears to be ignorant of the fact that there were several other names for this genus besides Scyphius, for he thinks, since Scyphius is preoccupied, that the genus must have a new name.


1966 ◽  
Vol 98 (5) ◽  
pp. 527-544 ◽  
Author(s):  
J. F. McAlpine ◽  
J. E. H. Martin

AbstractThe systematic relationships of Sciadoceridae and of the other families of the superfamily Phoroidea, i.e., Platypezidae, Ironomyiidae and Phoridae, are reviewed. A new family, Ironomyiidae, is proposed for Ironomyia nigromaculata White from Tasmania. Two fossil flies in Canadian (Cretaceous) amber, representing two new genera and species of Sciadoceridae, are described and figured. These constitute the first record of the family in North America. The supposed phylogenies of the families of the Phoroidea and of the genera and species of Sciadoceridae are outlined; the evolution and biogeography of the latter family is treated in detail. Keys to the families of the Phoroidea and to the genera and species of Sciadoceridae are provided.


Zootaxa ◽  
2010 ◽  
Vol 2356 (1) ◽  
pp. 36 ◽  
Author(s):  
PETER CASTRO ◽  
DANIÈLE GUINOT ◽  
PETER K. L. NG

Sotoplacidae nov. fam. is described for Sotoplax robertsi Guinot, 1984, a goneplacoid crab from the western Atlantic that had been provisionally placed in the family Euryplacidae Stimpson, 1871. Sotoplax is characterised by a suite of characters, particularly related to the thoracic sternum, male abdomen, and to the protection of the penis, which places it as a taxon independent from the Euryplacidae and the other 10 families currently grouped in the superfamily Goneplacoidea MacLeay, 1838. A diagnosis of the Goneplacoidea, a detailed table of characters diagnostic to the 11 goneplacoid families, and a key to these families are also given.


Zootaxa ◽  
2004 ◽  
Vol 756 (1) ◽  
pp. 1 ◽  
Author(s):  
WILLIAM A. NEWMAN

The family-group names Priscansermarinidae Newman, 1996, Zeugmatolepadidae Newman, 1996, and Neolepadinae Newman, 1996 were not accompanied by a description or definition when proposed, whereby, in light of Article 13.1.1 (International Commission on Zoological Nomenclature 1999), they are nomen nudum (Grygier in lit.). It is the purpose of this note to rectify this situation. To my knowledge the first two family-group names have not appeared in print since 1996 and therefore they are proposed anew herein, as Priscansermarinidae fam. nov. and Zeugmatolepadidae fam. nov. The third family-group, the subfamily Neolepadinae Newman, 1996, has since been recognized and variously defined by subsequent authors, including Buckeridge (2000) and Southward & Jones (2004), but since neither declare it a new taxon, in light of Article 16.1 it cannot be attributed to them. On the other hand, Yamaguchi et al. (2004) divided the included genera between two new family-groups, the tribes Neolepadini and Ashinkailepadini Yamaguchi, Newman & Hashimoto, 2004. Therefore, in accordance with Art. 36.1 (the Principle of Coordination), the Neolepadinae Yamaguchi, Newman & Hashimoto, 2004, as defined by Yamaguchi et al. (2004:111), is proposed, nom. trans., herein.


2013 ◽  
Vol 69 (12) ◽  
pp. o1822-o1823 ◽  
Author(s):  
Peter W. R. Corfield ◽  
Amy M. Balija

The title compound, C27H18O6, commonly known as phloroglucinol tribenzoate, is a standard unit for the family of benzyl ether dendrimers. The central phloroglucinol residue is close to planar, with out-of-plane distances for the three oxygen atoms of up to 0.095 (3) Å, while the three attached benzoate groups are approximately planar. One benzoate group is twisted [C—C—O—C torsion angle = 98.2 (3)°] from the central plane, with its carbonyl O atom 2.226 (4) Å above that plane, while the other two benzoate groups are twisted in the opposite direction [C—C—O—C torsion angles = 24.7 (2) and 54.8 (2)°], so that their carbonyl O atoms are on the other side of, and closer to the central plane, with distances from the plane of 1.743 (4) and 1.206 (4) Å. One benzoate group is disordered between two conformers, with occupancies of 86.9 (3) and 13.1 (3)%, related by a 143 (1)° rotation about the bond to the central benzene ring. The phenyl groups of the two conformers occupy the same space. The molecule packs in the crystal with two of the three benzoate phenyl rings stacked parallel to symmetry-related counterparts, with perpendicular distances of 3.715 (5) and 3.791 (5) Å. The parallel rings are slipped away from each other, however, with centroid–centroid distances of 4.122 (2) and 4.363 (2) Å, respectively.


Crustaceana ◽  
1999 ◽  
Vol 72 (8) ◽  
pp. 957-963 ◽  
Author(s):  
Damia Jaume ◽  
Geoff Boxshall

AbstractPhylogenetic relationships between the known genera of the order Misophrioida permit the identification of two lineages: one consisting of the family Misophriidae Brady, 1878 which comprises seven genera, and a new, monotypic family, the Palpophriidae Boxshall & Jaume, 1999; the other consisting of another new family, the Speleophriidae Boxshall & Jaume, 1999, comprising eight genera. Habitat exploitation by these families is discussed: members of the Misophriidae are primarily hyperbenthic, those of the Palpophriidae and Speleophriidae are primarily cavernicolous in anchialine habitats. The occurrence of misophriids in littoral and submarine caves is interpreted as evidence of a relatively recent landward extension of the habitat range in this family, from a shallow-water hyperbenthic ancestor. The distribution of speleophriids in anchialine caves is interpreted as resulting from a colonization episode prior to the closure of the Tethys Sea. The analysis also indicates that deep-water forms may represent a secondary colonization rather than an indication of deep-water ancestry for the entire order. El estudio de las relaciones filogeneticas entre los distintos generos pertenecientes al orden Misophrioida ha permitido la identificacion de dos linajes principales: uno compuesto por la familia Misophriidae Brady, 1878, integrada por siete generos, y una familia nueva, Palpophriidae Boxshall & Jaume, 1999; el otro, integrado por otra nueva familia, Speleophriidae Boxshall & Jaume, 1999, compuesta por ocho generos. Se discute la explotacion que del habitat hacen estas familias: los Misophriidae son primariamente hiperbenticos, mientras que Palpophriidae y Speleophriidae son cavernicolas en medio anquialino. La presencia de misofriidos en cuevas litorales y submarinas es interpretado como evidencia de una relativamente reciente extension tierra adentro del habitat ordinario de esta familia, a partir de un ancestro hiperbentico propio de aguas someras. La distribucion de los espeleofriidos en cuevas anquialinas es interpretada como resultado de un episodio de colonizacion anterior a la oclusion del mar de Tetis. El analisis indica tambien que las formas de aguas profundas representan una colonizacion secundaria mas que indicacion de un ancestro de aguas profundas para el orden entero.


Phytotaxa ◽  
2014 ◽  
Vol 183 (4) ◽  
pp. 298 ◽  
Author(s):  
Tomoyuki Katagiri ◽  
Lars Söderström ◽  
Anders Hagborg ◽  
Matt Von Konrat

When Hodgson (1964) proposed the new family Phyllothalliaceae together with the initially monotypic genus Phyllothallia Hodgson (1964: 247) based on Phyllothallia nivicola Hodgson (1964: 247), she mentioned “This new family is not a splinter entity from any already recognized family, but is originated to contain a genus which in vegetative characters at least is completely different from any known genus. The characters of the family are those of the genus”. The first sentence specifies the features in which Phyllothalliaceae is different from the other families but not how these features differ and so it does not satisfy the requirement of Art. 38.1(a) for a description/diagnosis (see: Art. 38. 2. Ex. 4). Although Grolle (1972: 216) discussed the validity of the family and considered the second sentence fulfil the requirements for the valid publication, ICN (McNeill et al. 2012) allows a single description/diagnosis for monotypic genus and species only. Hence, the family Phyllothalliaceae lacked a description/diagnosis which was needed when proposed and it has never been validly published until now. In order to be able to use the name in the forthcoming world checklist of Hornworts and Liverworts (Söderström et al., in prep.), the family is validated here. Note that a Latin description is no longer needed under the current ICN (McNeill et al. 2012).


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