Figure Patterns Research Articles

Investigating students’ reasoning in generalization of deconstructive figural patterns

Investigating students’ reasoning in generalization of deconstructive figural patterns

DMD digital lithography optimization based on a hybrid genetic algorithm and improved exposure model.

An efficient method to optimize digital micromirror device (DMD) lithography was proposed using a hybrid genetic algorithm integrated with an improved exposure model. The improved exposure model significantly refines traditional approaches by incorporating advanced parameters not previously considered, including the cross-transfer coefficient, detailed light source functions, and impulse response functions. These enhancements provide a comprehensive assessment of the entire optical imaging system's impact on lithography quality and more accurately simulate the interactions of light with the photoresist. The hybrid method combines the robust optimization capabilities of genetic algorithms (GA) with this sophisticated exposure model, facilitating precise micromirror configurations and optimizing light distribution for specific lithographic patterns. This integration results in substantial improvements in lithographic precision, with improvements of up to 84% for hexagonal star patterns, 83% for arrow patterns, and 85% for embedded figure patterns. These advancements enhance imaging quality, reduce optical proximity distortions, and improve overall lithography performance, offering crucial insights into the precision and efficiency improvement of microelectronics fabrication processes.

Geometrical misalignment-induced nonlinear error in homodyne interferometers.

This paper discusses the generation of a novel periodic nonlinear error in homodyne interferometers due to geometric misalignments. These misalignments arise from cumulative assembly errors among the sensor head interior, target mirror, test platform, and detector, leading to dynamic misplacement of the measurement beam on the detector's surface. A physical model was developed to explain this error, focusing on the interference field produced by Gaussian beams under conditions of beam separation and inclined interference. Observations from misaligned setups revealed a strong correlation between the modulation of the interference signal by an envelope curve and the distorted, complex patterns of Lissajous figures, with the movement of the target mirror. Numerical simulations and experimental results demonstrated that segmented elliptical fitting effectively calibrates vortex trajectories and substantially reduces periodic nonlinear errors. However, numerical simulations also uncovered previously undetected picometer-scale second-order nonlinear errors due to the geometric misalignments. This research highlights the physical mechanisms behind new nonlinear errors, emphasizing their importance in advancing homodyne interferometers toward picometer-level accuracy.

A Rare Case Report of Intrabdominal Fibrosarcoma in a German Shepherd Dog

The purpose of this study is to present an intra-abdominal fibrosarcoma in a canine and its histopathological findings. An eight years old female german shepherd was brought to department of Veterinary Clinical Complex, LUVAS, Hisar. The dog was anorectic with dull and depressed condition. Physical examination showed pale mucous membranes and distended abdomen. There was decrease in haemoglobin progressively. On Palpation of the abdomen a painless mass of hard consistency and irregular surface was felt. Serum biochemical abnormalities included increased SGOT, SGPT and alkaline phosphatise but plasma total protein, globulin and albumin was within normal range. The case was diagnosed with the help of radiography and ultrasonography. Thus, an exploratory laparotomy was performed, identifying a multinodular mass in the omentum and mesentery attached to a portion of the stomach and small intestine. An eight kilogram firm mass with irregular surface and great vascularisation was excised. On histopathology, the tumourous mass was found to be fibrosarcoma characterized by spindle shaped neoplastic cells arranged in interwoven pattern and presence of mitotic figures.

Squiggle Game, from a Psychotherapy to an Educational Creativity Method. Drawing and Designing Together

AbstractThe paper presents an experiment with a squiggle game in a design class: a joint drawing activity. The squiggle game, which comes from psychoanalysis, has been adapted to a teaching‐learning situation in order to observe how graphic design practices and skills develop through creativity. The hypothesis is that the game impacts the training of participants, including teachers, by developing their creativity through the co‐construction that occurs between them. A qualitative methodology based on activity theory has been set up, consisting of two phases of experimentation in a vocational training class in France. The results are based on a semiotic and cognitive analysis of the drawing activity through its components and the participants' discourse about their drawings during self‐confrontations. The discussion creates a dialogue between several research paradigms in educational sciences, psychology, and psychoanalysis within artistic disciplines. It leads to the identification of four creativity methods that impact the teaching‐learning processes generated by the squiggle game: the game of abstract random drawing in pairs; the figurative patterns sought through combinations of strokes (complementation); opposition between very strong former and current routines of drawing or behaviours; and rebounding from the other's prompts towards new dynamics.

Raining-inspired method for construction of porous film material

The low-temperature environment caused by solvent evaporation leads to the condensation of water vapor into water droplets that remain on the surface of the film to form breath figure patterns. The conventional approach to regulate the pore morphology in the breath figure process is to optimize the ambient temperature, humidity, and solution concentration. However, realizing a wide adjustable window of pore size and uniform distribution of the pore are still challenges. Here, inspired by the rainfall phenomenon, we proposed a simple and efficient method called the “raining boxing method” (RBM) for preparing porous films based on exogenously given water droplets as templates. The RBM broadened the adjustable window of pore size (0.6–225 µm in this work) and solved the inherent problem of radial reduction of pore size from the film center to the edge caused by the significant difference in low-temperature duration at different locations accompanying the solvent evaporation process. Furthermore, this method could realize multi-types porous films, including surface porous films, spongy porous films, and honeycomb porous films, and could be universally applied in the casting process of various polymer solutions.

Creative thinking for learning algebra: Year 10 students’ problem solving and problem posing with quadratic figural patterns

There is increasing focus on giving all students opportunities to develop their creative thinking in mathematics. In a fine-grained qualitative case study, Australian Year 10 (15–16-year-old) students experienced problem-solving and problem-posing tasks in a learning sequence designed to elicit creative thinking through visualization and with algebraic (functional) concepts. This article shares findings on two pairs’ creative processes and work products for generalizing and creating quadratic figural growing patterns, related to the cognitive, affective, and aesthetic dimensions of learning. Post-sequence data on the class's preferences for types of creative thinking tasks are also shared. Students were found to exhibit different creativity aspects in their problem solving and varying levels of meta-representational competency in their problem posing. The students evidenced diverse affective responses to the different types of tasks, with proportionally more students preferring problem solving to problem posing. Some implications for engaging secondary mathematics students in creative thinking tasks are shared along with recommendations for future research.

Identification and characterization of functionally relevant SSR markers in natural Dalbergia odorifera populations

BackgroundDalbergia odorifera is a rare and precious rosewood specie, which is valued for its amber tones, abstract figural patterns, and impermeability to water and insects. However, the information on genetic diversity and marker-assisted selection breeding of D. odorifera is still limited. Simple sequence repeat (SSR) markers are an ideal tool for genetic diversity analysis and marker-assisted molecular breeding for complex traits.ResultsHere, we have developed SSR markers within candidate genes and used them to explore the genetic diversity among D. odorifera germplasm resources. A total of 635 SSR loci were identified. The proportions of mono-, di- and tri-nucleotide repeat motifs were 52.28%, 22.99% and 21.42%, respectively. From these, a total of 114 SSR primers were synthesized, of which 24 SSR markers displayed polymorphism (polymorphic information content (PIC) > 0.25). Subsequently, these polymorphic markers were used for the genetic diversity analysis of 106 D. odorifera individuals from 11 natural populations. According to the genetic diversity analysis of D. odorifera natural populations, the average observed heterozygosity (Ho) was 0.500, the average expected heterozygosity (He) was 0.524, and the average Shannon’s information index (I) was 0.946. These indicated that the natural populations had moderate genetic diversity. AMOVA analysis showed that 5% of the total variation was within the individuals of a population, whereas 95% of the variation was among the individuals of the populations, indicating a high degree of genetic variation between populations. On the basis of their genetic structures, these populations could be divided into four groups.ConclusionsOur study provides important experimental resources for genetic studies and assists in the program of molecular breeding of D. odorifera wood formation.

Morphological, Optical and Voronoi Polygon Analysis of Breath Figures Prepared on Polymeric Surface

Background/ Objectives: The formation of breath figures over polymers like polystyrene has vast applications in material science for making numerous micro- and nanopatterned functional surfaces. However, the breath figures (BFs) method is a complex phenomenon as the actual formation of structures are many times unpredictable and the nature of structure depends on the type of polymer, solvent, degree of humidity and additives used. The work presented in this paper deals with the study of condensation on the surface of volatile polystyrene polymer solution and their uses for non-wetting using optical and morphological studies along with mathematical model Voronoi polygon analysis using polystyrene and solvent of benzene and chloroform. The growth dynamics of Breath-Figures (BFs) formed due to condensation is presented in brief. Method: Breath Figure (BF) patterns were prepared by two solvents: benzene and chloroform. Different representative values of relative Humidity viz. 60, 70, 80 and 90 % were employed for making BFs. Two different polymer concentrations of 5 and 10 w/v % was used in this study. Findings: The morphology has been statistically analyzed for different parameters like average diameter and their size distribution etc. In case of BFs formed on benzene surface, droplet has average diameter of about 12 µm at 90% humidity but in case of chloroform surface this diameter is about 25 µm at 90% humidity. Voronoi analysis demonstrates simplistic way to qualitatively check the six-fold order and the coordination numbers in BFs. Novelty: The work shows comparative study of BFs patterns using polystyrene on two different solvents with changing humidity. The study shows morphology of the breath patterns is mainly dependent on the polymer concentration, humidity and density of solvents which is a new observation. The study leads to the acquisition of new knowledge on BFs which provides insight important for various applications including biological fields. Keywords: Breath­figures, Voronoi polygon, Polystyrene, Contact angle, Condensation

Epitaxial ZnO piezoelectric layer on SiO2/Mo solidly mounted resonator fabricated using epitaxial Au sacrificial layer

In solidly mounted resonator (SMR) type of bulk acoustic wave resonator, it is difficult to fabricate single crystalline piezoelectric thin films in a bottom-up process due to the amorphous SiO2 in the low acoustic impedance layer of the acoustic Bragg reflector. In this study, single crystalline ZnO piezoelectric layer on amorphous SiO2/polycrystalline Mo acoustic Bragg reflector is fabricated using a wet etching process of the epitaxial Au sacrificial layer. Epitaxial growth of ZnO was confirmed by X-ray diffraction pole figure and transmission electron microscope electron diffraction pattern. Resonance frequency of 1.3 GHz of epitaxial ZnO SMR was observed using a network analyzer.

Developing a Framework for Evaluating Student's Understanding at Figural Pattern Generalization

Figural patterns have a unique capacity to promote functional thinking. This study aimed to identify the mental constructs of 7th-grade students in Figural Pattern Generalization (FPG) by using the Action, Process, Object, Schema (APOS) theory in order to develop a framework for evaluating students' understanding of FPG. A sample of 220 students completed a test designed based on the APOS framework and 19 students participated in a semi-structured interview. Results showed that there are emergent and partial action levels before the action stage and pre-emergent, and partial process/object levels before the process/object stage.

Understanding Algebraic Expressions Through Figural Patterns

This instructional sequence develops your students’ meaningful understanding of algebraic expressions.

Global Crystallographic Texture of Pyrite in Fossil Wood (Jurassic, Oryol Region, Russia)

Many works are devoted to the study of the crystallographic texture of primary skeletal minerals of animals. But how the directions of mineral crystals that replace the organic matter in the fossil state are oriented is unknown. Here we investigated the crystallographic texture of pyrite grown on an organic matrix and without it. Jurassic pyritized wood (Middle Jurassic, Callovian) was studied by the neutron diffraction method. The global crystallographic texture of pyrite in nodules and fossil wood is compared. It was found that in both cases, the isoline patterns of pole figures and texture sharpness are similar to the same characteristics of abiogenic calcite. But the orientations of pyrite crystals in wood are more ordered, the isolines are closer, and the regions of maximum pole density are wider. That is, the pyrite crystals that replaced the petrified wood are more ordered. This was influenced by the organic matrix on which the crystals grew. Repetition of a fossil mollusk shell shape without using its shell as a matrix for crystal growth does not lead to an increase in the crystallographic texture sharpness. This is illustrated by an example of the inner core calcite shell of the gastropod mollusk Bellerophon sp.

Awareness About Mathematical Patterns in MI Muhammadiyah 3 Jogoroto Jombang Students

Awareness of patterns in this study is closely related to generalization. This awareness is the condition of someone who can know there is an order in the pattern, can mention the structure of the given pattern and can determine the next pattern. One of the basic skills in learning mathematics is generalization. This research is a descriptive quantitative research that aims to describe awareness of mathematical patterns in grades 4, 5 and 6 of MI Muhammadiyah 3 Jogoroto Jombang. The sample of this research was 89 students in grades 4, 5 and 6 of MI Muhammadiyah 3 Jogoroto Jombang. All students were given questions about number patterns and figure patterns and then conducted interviews. The results showed that students' awareness of number patterns was 80,65% for 4th grade , 95,83% for 5th grade and 97,06% for 6th grade . Meanwhile, students' awareness of figure patterns was 87,09% for 4th grade, 95,83% for 5th grade and 100% for 6th grade. Based on the results of this study, it can be seen that students in grades 4, 5 and 6 of MI Muhammadiyah 3 Jogoroto Jombang are already able to recognize pattern regularity, can mention the pattern structure and can determine the next pattern, which is limited in number. Students have not been able to determine the number of elements (structures) in the n-th pattern.

Synergistic control of breath figures on Styrene-Butadiene-Styrene films by poly-2-ethyl-2-oxazoline capped CaCl2 loaded mesoporous silica particles

The addition of hydrophilic components (CaCl2, poly-2-ethyl-2-oxazoline (PEOX) or mesoporous silica particles (MSP)) into Styrene-Butadiene-Styrene (SBS)/chloroform solution was shown to affect the resulting breath figure patterns in terms of pore size, pore shape and order. Honeycomb-patterned porous SBS polymer films were prepared by adding 30 wt% PEOX capped, CaCl2 loaded mesoporous silica particles into SBS solution. The long-range order observed with a pore diameter of ∼3.6 µm in the breath figure pattern at RT and 50–70% RH was attributed to the synergistic contributions of each component. CaCl2 promotes the condensation of water vapor and the nucleation of many water droplets on the polymer solution. When localized in a uniformly swollen layer of PEOX around MSP, easier nucleation together with stabilization of water droplets by MSP and PEOX leads to hexagonally-ordered breath figures. The results demonstrate the addition of hydrophilic components as an easy tool to tune breath figure patterns at relatively low humidity and their synergistic contributions.

Porous polymer film formation by water droplet templating using polystyrene.

Studies show that the formation of breath figures over polystyrene is not clearly understood-sometimes the patterns are regular and sometimes they are barely formed. In an attempt to understand this process a little more, breath figures over polystyrene of three molecular weights and on the smooth and grooved DVD surfaces are prepared and studied. The microporous films are prepared by the evaporation of the chloroform solution of the polymers in a humid environment. The thus formed breath figure patterns are studied under a confocal laser scanning microscope and the images are analyzed. Breath figures were formed for (a) three molecular weights of the polymer (b) two casting techniques, and (c) on smooth and grooved surfaces (of a commercial DVD). The wetting of the breath figures formed by water is also reported here. The pore diameters were found to increase with increase in molecular weight and also with concentration of the polymer used. Only drop-casting method yield breath figures. Voronoi entropy, calculated from the images, indicates ordered pores on the grooved surface compared to smooth surfaces. Contact angle studies indicate a hydrophobic nature of the polymer, with the hydrophobicity increasing by the patterning.

Memory Re-Condensation

This paper reveals a phenomenon of memory in dropwise condensation in open air. After a first condensation process and complete evaporation of the condensed droplets, further condensations proceed with droplets nucleating at the very places where former droplets evaporated. The origin of this phenomenon is due to the incorporation of airborne salts during the first droplet condensation and its further concentration during droplet evaporation. Salts act as preferential nucleation sites and humidity sinks. The potential impact of this phenomenon on controlled breath figure patterns and plant metabolism is discussed.

How to illustrate the principal of radiography using three monochromatic lights

A simple experimental method for illustrating the principle of radiography has been developed by simulating radiation with visible monochromatic lights. In our new method, an liquid crystal display of a tablet computer was used as a light source for monochromatic lights, which worked as a substitute for an x-ray or neutron source. And a figure (pattern) printed, with a colour printer, on a transparent sheet for an overhead projector was used for the object. Therefore, the method is safe and inexpensive, and has the merit that the students, especially junior/senior high school students, can engage in exploring their experiments through trial and error by themselves.

Dual-Color Emission from Spatially Distributed Quantum Dots in Poly(l-lactide) Films with Diverse Morphologies.

Polymer-based multicolor emissive materials have growing demand due to their potential applications in various fields such as full-color displays, bioimaging, and light sources because of their processability and high stability. Herein, we report dual-color emissive hybrid materials based on biocompatible poly(l-lactide) and polyethylene glycol-modified two-dimensional layered double hydroxide quantum dots (PEG-LDHQDs). The morphology of polymer films tunes the spatial distribution of QDs within the polymer matrix, modulating the energy transfer between the QDs and affording the dual emission behavior in the aggregated states. The amorphous hybrid films show single emission (blue) from the finely dispersed QDs (mostly isolated) within the polymer matrix. In contrast, dual emission (blue and red) was observed when the polymer was crystallized due to the possible accumulation of QDs at the interface of crystalline and amorphous phases in the lamellar structure. Furthermore, the dual emission could be enhanced by the aggregation of QDs on the pores of the breath figure pattern constructed on the surface of the hybrid film.

MULTIMODAL EXPRESSIONS OF FIGURATIVE THOUGHT : A STUDY OF THE SOVIET OCCUPATION ( 1940 – 1964 ) POSTERS

The aim of the article is to analyse figurative language in use. According to the core writings in cognitive linguistics, figurative language is representative of figurative thought. Human beings express themselves figuratively because their thinking is primarily figurative. Similar ideas have been advanced since the writings of Max Black, Charles K. Ogden, I. A. Richards, and Paul Ricoeur; however, these ideas gained a wider recognition at the end of the 1980s, when George Lakoff and Mark Johnson published their seminal work “Metaphors We Live By”, thus propelling the development of cognitive linguistics and cognitive stylistics. The properties of figurative thought are excellently demonstrated via those examples where interaction of the verbal and visual discourse occurs. The poster collection of the National Library of Latvia is well-suited for this purpose. The posters created during the Soviet occupation (1940–1991) abound in propaganda; nevertheless, they present a remarkable source for research. Seven posters from 1940 to 1964 are analysed in this article. The eventual results demonstrate the pervasive use of metonymies and their interaction with other figurative patterns to shape multimodal discourse.