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1

Et-Taoui, Boumediene. "Quaternionic equiangular lines." Advances in Geometry 20, no. 2 (2020): 273–84. http://dx.doi.org/10.1515/advgeom-2019-0021.

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AbstractLet 𝔽 = ℝ, ℂ or ℍ. A p-set of equi-isoclinic n-planes with parameter λ in 𝔽r is a set of pn-planes spanning 𝔽r each pair of which has the same non-zero angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$. It is known that via a complex matrix representation, a pair of isoclinic n-planes in ℍr with angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$ yields a pair of isoclinic 2n-planes in ℂ2r with angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$. In this article we characterize all the p-tuples of equi-isoclinic planes in ℂ2r which come via our complex representatio
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2

Yang, Jian Hui, Rong Ling Sun, Zheng Hao Yang, Xin Yang Lin, and Hai Cheng Niu. "Constitutive Relations of Concrete under Plane Stresses Based on Generalized Octahedral Theory." Applied Mechanics and Materials 71-78 (July 2011): 342–52. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.342.

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Continuous (or generalized) octahedral element bodies can be obtained by intercepting a cube with three groups of failure (or yield) planes successively under true triaxial stress state, on which the stresses are twin stresses. Among the resulting polyhedral characteristic element bodies, isoclinal octahedron and orthogonal octahedron are of particular importance. Strength models of continuous octahedrons are then derived by stress analysis to arbitrary inclined sections in three dimensional stress space, and strain models by the principle of strain analysis, so the plane constitutive relation
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3

Et-Taoui, B. "Equi-isoclinic planes of Euclidean spaces." Indagationes Mathematicae 17, no. 2 (2006): 205–19. http://dx.doi.org/10.1016/s0019-3577(06)80016-9.

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4

Pinit, Pichet, Tobita Susumu, and Eisaku Umezaki. "Determination of Principal-Stress Directions by Three-Step Color Phase Shifting Technique." Key Engineering Materials 321-323 (October 2006): 1284–87. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.1284.

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A three-step phase shifting approach for automatic determination of the isoclinic parameter in photoelasticity is presented. Unreliable isoclinic values affected by the isochromatic parameter are solved using the white light. The method uses three fringe images digitally captured by a digital camera for three different configurations of the dark-field plane polariscope. For a circular disk under compression, results show the method permits the isoclinic parameter in the range -π/2 to π/2 with almost free of the isochromatic parameter and comparable with theory.
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5

Aghajani, A., and A. Moradifam. "Intersection with the vertical isocline in the Liénard plane." Nonlinear Analysis: Theory, Methods & Applications 68, no. 11 (2008): 3475–84. http://dx.doi.org/10.1016/j.na.2007.03.040.

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6

SRIVASTAVA, DEEPAK C. "Geometrical similarity in successively developed folds and sheath folds in the basement rocks of the northwestern Indian Shield." Geological Magazine 148, no. 1 (2010): 171–82. http://dx.doi.org/10.1017/s0016756810000610.

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AbstractAn intensely deformed gneiss–migmatite terrane and a relatively undeformed granulite–granitoid terrane constitute the bulk of Precambrian basement in the northwestern Indian Shield. This article traces the structural evolution in the gneiss–migmatite terrane, where traditional methods of structural analysis are difficult to apply, and shows how successively developed folds can assume identical geometry and orientation at an advanced stage of progressive ductile shearing. The gneiss–migmatite terrane exemplifies a regional-scale ductile shear zone that preserves the history of polyphase
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Aghajani, Asadollah, Mohsen Mirafzal, and Donald O’Regan. "Conditions for approaching the origin without intersecting the x-axis in the Liénard plane." Filomat 31, no. 12 (2017): 3761–70. http://dx.doi.org/10.2298/fil1712761a.

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We consider the Li?nard system in the plane and present general assumptions to obtain some new explicit conditions under which this system has or fails to have a positive orbit which starts at a point on the vertical isocline and approaches the origin without intersecting the x-axis. This arises naturally in the existence of homoclinic orbits and oscillatory solutions. Our investigation is based on the notion of orthogonal trajectories of orbits of the system.
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Hara, Tadayuki, and Jitsuro Sugie. "When all trajectories in the Li�nard plane cross the vertical isocline?" Nonlinear Differential Equations and Applications NoDEA 2, no. 4 (1995): 527–51. http://dx.doi.org/10.1007/bf01210622.

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9

Blokhuis, Aart, Ulrich Brehm, and Boumediene Et-Taoui. "Complex conference matrices and equi-isoclinic planes in Euclidean spaces." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59, no. 3 (2017): 491–500. http://dx.doi.org/10.1007/s13366-017-0374-2.

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10

Aghajani, Asadollah, and Amir Moradifam. "Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane." Applied Mathematics Letters 19, no. 5 (2006): 491–97. http://dx.doi.org/10.1016/j.aml.2005.07.005.

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11

Rodrigues, Rodrigo Antonio de Freitas, Juliana Pertille, Fernanda Gervasoni, et al. "Tonian Continental Arc Magmatism of the Porongos Complex, Dom Feliciano Belt, Southern Brazil." Geologia USP. Série Científica 23, no. 3 (2023): 19–45. http://dx.doi.org/10.11606/issn.2316-9095.v23-208078.

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This study provides new information on the deformation, metamorphism, and tectonic setting of the metavolcanic rocks of the southern portion of the Porongos Complex, southern Brazil. The structural analysis enabled the identification of three deformational phases, formed under ductile to semi-ductile conditions. D1 progressed through deformation partitioning, comprising closed to isoclinal folds and an axial plane foliation. Then, simple shear prevailed, resulting in isoclinal folds, sigma-type porphyroclasts, foliation transposition, and mylonitic rocks. D2 comprises open to gentle folds and
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12

Maliakov, Yordan. "Structural observations on the type sections of Kondolovo and Lipačka Formations, SE Strandzha Mountains." Geologica Balcanica 22, no. 5 (1992): 71–86. http://dx.doi.org/10.52321/geolbalc.22.5.71.

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Structural observations along the type sections of Kondolovo and Lipačka Formation, introduced as formal lithostratigraphic units by ČataIov, reveal three fold generations: isoclinal to tight synfolial B1 folds with axial-plane slaty cleavage S1 and intersection lineation L1 between bedding and S1; kinkand chevron-type B2 folds as minor folds on the limbs of a B2 conical antiform; open upright B3 folds with gently dipping limbs. These structural data and additional geological studies show that the original descriptions of the type sections are in some respects incorrect. The sections were meas
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13

Vasconcelos, Bruno Rodrigo, Amarildo Salina Ruiz, and João Batista de Matos. "Polyphase deformation and metamorphism of the Cuiabá group in the Poconé region (MT), Paraguay Fold and Thrust Belt: kinematic and tectonic implications." Brazilian Journal of Geology 45, no. 1 (2015): 51–63. http://dx.doi.org/10.1590/23174889201500010004.

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Several deformation models have been proposed for the Paraguay Belt, which primarily differ in the number of phases of deformation, direction of vergence and tectonic style. Structural features presented in this work indicate that the tectonics was dominated by low dip thrust sheets in an initial phase, followed by two progressive deformation phases. The first phase of deformation is characterized by a slate cleavage and axial plane of isoclinal recumbent folds with a NE axial direction, with a recrystallization of the minerals in the greenschist facies associated with horizontal shear zones w
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14

Wong, Yung-Chow, and Kam-Ping Mok. "Normally related n-planes and isoclinic n-planes in R2n and strongly linearly independent matrices of order n." Linear Algebra and its Applications 139 (October 1990): 31–52. http://dx.doi.org/10.1016/0024-3795(90)90386-q.

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15

Salyamova, K. D. "Dynamic calculation of a plane “Earth Dam-Base” system under seismic impact." E3S Web of Conferences 401 (2023): 05086. http://dx.doi.org/10.1051/e3sconf/202340105086.

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Design, construction, as well as reliable and safe operation of earthen hydraulic structures (earth dams) in the Republic of Uzbekistan, located in a seismically hazardous zone, require constant improvement of load calculation methods, as required by building codes, including constant loads (static - gravity, hydrostatic) and temporary dynamic loads (seismic). The current normative method does not take into account the non-one-dimensional behavior and piecewise heterogeneity of the soil characteristics of the structure and foundation. It does not allow determining the stress-strain state (SSS)
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16

Marquis, Robert, and Normand Goulet. "Essai de corrélation stratigraphique et structurale à l'est de Val-d'Or: implication pour la prospection aurifère du secteur." Canadian Journal of Earth Sciences 24, no. 12 (1987): 2412–21. http://dx.doi.org/10.1139/e87-227.

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Stratigraphic and structural relationships show that the Trivio and Garden Island sedimentary groups could be lateral equivalents. The ubiquitous presence of shear zones between the sedimentary (Trivio and Garden Island) and volcanic (Kinojévis and Malartic) groups indicates that these contacts are tectonic and not stratigraphic. Moreover, the shearing along the Malartic–Trivio contact is located along the extension of the Larder Lake – Cadillac fault zone and could be its equivalent east of Val-d'Or, Quebec.Three major periods of deformation have been recognized in the field. The main east–we
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17

Morley, C. K., S. Jitmahantakul, C. von Hagke, J. Warren, and F. Linares. "Development of an intra-carbonate detachment during thrusting: The variable influence of pressure solution on deformation style, Khao Khwang Fold and Thrust Belt, Thailand." Geosphere 17, no. 2 (2021): 602–25. http://dx.doi.org/10.1130/ges02267.1.

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Abstract Classic detachment zones in fold and thrust belts are generally defined by a weak lithology (typically salt or shale), often accompanied by high over-pressures. This study describes an atypical detachment that occurs entirely within a relatively strong Permian carbonate lithology, deformed during the Triassic Indosinian orogeny in Thailand under late diagenetic-anchimetamorphic conditions. The key differences between stratigraphic members that led to development of a detachment zone are bedding spacing and clay content. The lower, older, unit is the Khao Yai Member (KYM), which is a d
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18

Beura, D., S. K. Nanda, A. Parida, and L. Pattanayak. "Deformation Episodes in Iron Formation of Eastern Province of North Odisha Iron Ore Craton, Eastern India." Journal of Geosciences Research 8, no. 1 (2023): 38–42. http://dx.doi.org/10.56153/g19088-022-0090-18.

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Banded Iron Formation (BIF), a bi-component rock of the Precambrian period is exposed along with iron ore in distinct geographical entities encircling the North Odisha Iron Ore Craton (NOIOC) in Odisha – Jharkhand states, eastern India. Iron formation of the eastern province is confined to Badampahar-Gorumahisani-Sulaipat belt. The litho assemblages belonging to this Iron Ore Group comprise of banded cherty quartzite, banded magnetite quartzite, banded magnetite grunerite quartzite, tremolite-actinolite schist and fuchsite quartzite. Deformations in phases affected the BIF members and associat
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19

Et-Taoui, Boumediene. "Infinite family of equi-isoclinic planes in Euclidean odd dimensional spaces and of complex symmetric conference matrices of odd orders." Linear Algebra and its Applications 556 (November 2018): 373–80. http://dx.doi.org/10.1016/j.laa.2018.07.014.

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20

Borradaile, G., P. Sarvas, R. Dutka, R. Stewart, and M. Stubley. "Transpression in slates along the margin of an Archean gneiss belt, northern Ontario—magnetic fabrics and petrofabrics." Canadian Journal of Earth Sciences 25, no. 7 (1988): 1069–77. http://dx.doi.org/10.1139/e88-104.

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Archean slates along the northern boundary of the Quetico subprovince of the Superior Province show marked variations of the structural facing direction within coplanar primary cleavage surfaces. These are interpreted as being due to sheath folds near the faulted east–west boundary of the slates with the metavolcanic Wabigoon Belt. Sheath folds with axial traces nearly parallel to the belt boundary are macroscopic, primary, and isoclinal and are believed to result from pervasive dextral transpression of the northern margin of the Quetico subprovince. Magnetic fabrics confirm the presence of a
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21

Mohd Nor, Mohd Khir, Rade Vignjevic, and James Campbell. "Modelling of Shockwave Propagation in Orthotropic Materials." Applied Mechanics and Materials 315 (April 2013): 557–61. http://dx.doi.org/10.4028/www.scientific.net/amm.315.557.

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Modelling of shockwave propagation in orthotropic materials requires an appropriate description of material behaviour within elastic and plastic regimes. To deal with this issues, a finite strain constitutive model for orthotropic materials was developed within a consistent thermodynamic framework of irreversible process in this paper. The important features of this material model are the multiplicative decomposition of the deformation gradient and a Mandel stress tensor combined with the new stress tensor decomposition generalised for orthotropic materials. The elastic free energy function an
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22

Alexander, Richard R. "Functional significance of variations in the central fold of shells of late Ordovician through Devonian biconvex brachiopod genera." Paleontological Society Special Publications 6 (1992): 2. http://dx.doi.org/10.1017/s2475262200005621.

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Flume experiments with models of Mid-Paleozoic atrypids, orthids, rhynchonellids, and spiriferids indicate that the central fold functions efficiently to separate lateral-margin incurrents from the anterior-medial margin excurrent in five of nine possible life orientations of the shell relative to the current direction and substrate. Anterior-medial incurrents and lateral excurrents are effectively separated in four of the nine orientations used with models of spiriferids and atrypids, but nonpediculate brachiopods drawing in water anterior-medially could not take advantage of reversing tidal
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23

Salve, Vinay V., and Durga P. Mohanty. "Structural Analysis and Petrography of High-Grade Gneisses and Associated Mafic / Ultramafic Dikes Around Salem, Southern India." Journal of Geosciences Research 9, no. 1 (2024): 1–8. http://dx.doi.org/10.56153/g19088-023-0165-45.

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Southern Granulite Terrane (SGT) of India preserves extensive high-grade granulite facies rocks of Archaean and Proterozoic age. The SGT is divided into number of blocks by several suture/shear zone. Structural investigations on the basement gneisses and younger mafic/ultramafic dikes have been carried out within the Salem block which is part of Northern Granulite Block (NGB), north of the Cauvery Suture Zone (CSZ). The present work emphasizes various scale fold styles and other structural patterns of the area, which includes regionally metamorphosed high-grade rocks as basement for the multip
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ΑΥΓΕΡΙΝΑΣ, Α., Α. ΚΙΛΙΑΣ, Α. ΚΟΡΩΝΑΙΟΣ, et al. "Cretaceous structural evolution of the Pelagonian crystalline in western Voras Mt (Macedonia, Northern Greece)." Bulletin of the Geological Society of Greece 34, no. 1 (2001): 129. http://dx.doi.org/10.12681/bgsg.16952.

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The kinematic of the Cretaceous deformation and the relationship between deformation and metamorphism of the Pelagonian crystalline was studied in Voras Mt (northern Greece). The Pelagonian crystalline in this area has been subdivided into a lower, core part, consisting mainly of gneissic rocks and schists and an upper, cover part, consistine of schists and quartzites with marble intercalations. Intensely deformed granitic rocks of Upper Paleozoic age intrude the Pelagonian crystalline basement. An S j foliation is the oldest fabric recognized in the Pelagonian crystalline. Sj is mainly define
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25

Flinch, Joan, Antonio Olaiz, Promod Painuly, et al. "Geological cross-section through the Garhwall Himalaya, NW India." Boletín de la Real Sociedad Española de Historia Natural 115 (2021): 219–33. http://dx.doi.org/10.29077/bol.115.v02.flinch.

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In early October 2018, a group of oil exploration geologists carried out a geological expedition through the Himalayas, in the Garhwall region, near the Indian state of Uttarakhand. The objective of this paper is to describe a regional geological cross section, from the Gangetic plain to the High Himalayan mountains of the Nanda Devi National Park in the border with Tíbet, today part of China. Close to the city of Dehradun the Main Boundary Thrust is croping out, it represents a major contact between Neo-Proterozoic schists and Eocene gravels of the Siwalik unit, the molasses type deposits tha
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M. Ramji and K. Ramesh. "Stress Separation in Digital Photoelasticity Part A - Photoelastic Data Unwrapping and Smoothing." Journal of Aerospace Sciences and Technologies, August 12, 2023, 5–15. http://dx.doi.org/10.61653/joast.v60i1.2008.811.

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The advent of digital photoelasticity saw the development of various techniques to get photoelastic data of isoclinics and isochromatics at every pixel in the domain. Unlike in other interferometric techniques, in photoelasticity one gets phase data of two quantities and their mutual dependence and interaction affect their evaluation. For stress separation studies, one requires both isochromatics and isoclinics accurately free of any kinks in the domain. With this in view, a robust approach is evolved to get these parameters. Initially wrapped isoclinics are obtained using a plane polariscope
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Et-Taoui, Boumediene. "Equi-isoclinic planes in Euclidean even dimensional spaces." Advances in Geometry 7, no. 3 (2007). http://dx.doi.org/10.1515/advgeom.2007.023.

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28

Betka, Paul, Sharon Mosher, and Keith Klepeis. "Progressive Development of a Distributed Ductile Shear Zone beneath the Patagonian Retroarc Fold-Thrust Belt, Chile." Lithosphere 2022, no. 1 (2022). http://dx.doi.org/10.2113/2022/3820115.

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Abstract The southern Patagonian Andes record Late Cretaceous–Paleogene compressional inversion of the Rocas Verdes backarc basin (RVB) and development of the Patagonian fold-thrust belt (FTB). A ductile décollement formed in the middle crust and accommodated underthrusting, thickening, and tectonic burial of the continental margin (Cordillera Darwin Metamorphic Complex (CDMC)) beneath the RVB. We present new geologic mapping, quartz microstructure, and crystallographic preferred orientation (CPO) fabric analyses to document the kinematic evolution and deformation conditions of the décollement
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SALVI, Maurício, and Ruy Paulo PHILIPP. "Geologia e significado tectônico das rochas metavulcanossedimentares do Complexo Coxilha do Batovi, Cinturão Dom Feliciano (São Gabriel, RS)." Pesquisas em Geociências 46, no. 2 (2019). http://dx.doi.org/10.22456/1807-9806.95465.

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O Complexo Coxilha do Batovi (CCB) é uma sequência metavulcanossedimentar de idade pré-cambriana exposto em uma janela estrutural ao sul da cidade de São Gabriel. Para entender a evolução estrutural do complexo foi realizado um estudo integrado de estratigrafia, sedimentologia, análise petrográfica, geologia estrutural e petrologia metamórfica. O CCB está situado no extremo sudoeste do limite do Terreno Taquarembó, sobre a Zona de Cisalhamento Ibaré de direção NW-SE. É composto por meta-arenitos quartzíticos e arcoseanos finos a médios e metapelitos, com mármores, rochas metavulcânicas, formaç
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Petersohn, Eliane, Maria José Maluf de Mesquita, and Eleonora Maria Gouvêa Vasconcellos. "GEOLOGIA DO GRANITO ÁGUA COMPRIDA, ANTIFORME SETUVA, ESTADO DO PARANÁ, BRASIL." Boletim Paranaense de Geociências 58 (December 31, 2006). http://dx.doi.org/10.5380/geo.v58i0.10710.

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Os granitóides deformados da Antiforme Setuva estão localizados no Escudo Paranaense, entre osterrenos Apiaí e Curitiba, Estado do Paraná. A antiforme é uma estrutura elíptica de direção EW e NE-SW,dividida em porção central, Suíte Granítica Água Comprida (SGAC), composta por sienogranitos emonzogranitos deformados, e faixa periférica, Seqüência Santana (SS), composta por mica xistos e quartzitos.O Granito Água Comprida (GAC), porfirítico, é o mais recorrente da SGAC, caracterizado por porfiroclastos defeldspatos. A paragênese magmática é composta por microclínio, quartzo, oligoclásio, biotita
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