circle patterns
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2021 ◽  
Vol 4 (2) ◽  
pp. 144-153
Author(s):  
Martianna Sinaga ◽  
Eddiwan Eddiwan ◽  
Windarti Windarti ◽  
Nur Asiah

Osteochilus melanopleurus can be found in the Siak and Kampar Rivers. The Kampar Rivers waters are better than that of the Siak River and it affects the growth of the fish. The growth pattern is reflected in the pattern of otolith growth rings. The research aims to understand the pattern of otolith growth rings of the O. melanopleurus from both rivers has been conducted from January to February 2021. There were 55 fishes captured (28 males and 27 females). The otolith was taken using tweezers and shaved manually using a soft grindstone. The dark growth ring pattern was investigated using a binocular microscope. Results showed the size of fish captured was 220 to 360 mm from Siak River and 310 to 370 mm from Kampar River. In the fish with the same standard length, the size of the otolith from the Siak River is heavier and longer than that of the Kampar River, which means that fish growth from the Kampar River is better than that of the Siak River. The length of an otolith from Siak River ranged from 1.875 – 3.275 mm, the width was ranged from 1.575–2.75 mm and the weight of otolith was 0.0039 – 0.0098 g, while the length of an otolith from Kampar River ranged from 2.375–3.275 mm, the width was ranged from 1.85–2.575 mm and the weight of otolith was 0.0042 –0.0076 g. The maximum number of the dark ring in the otolith from the Siak River was 4 and Kampar River was 2. The distance between the nucleus and the first dark ring of fish from both rivers was varied from 0.1–0.525 mm, and there was no special pattern. This fact indicates that the first dark ring was formed individually and they were not formed by a periodical incidents during the fish life


2021 ◽  
Vol 383 ◽  
pp. 107698
Author(s):  
Huabin Ge ◽  
Bobo Hua ◽  
Ze Zhou
Keyword(s):  

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Niklas C. Affolter

AbstractMiquel dynamics was introduced by Ramassamy as a discrete time evolution of square grid circle patterns on the torus. In each time step every second circle in the pattern is replaced with a new one by employing Miquel’s six circle theorem. Inspired by this dynamics we consider the local Miquel move, which changes the combinatorics and geometry of a circle pattern. We prove that the circle centers under Miquel dynamics are Clifford lattices, an integrable system considered by Konopelchenko and Schief. Clifford lattices have the combinatorics of an octahedral lattice, and every octahedron contains six intersection points of Clifford’s four circle configuration. The Clifford move replaces one of these circle intersection points with the opposite one. We establish a new connection between circle patterns and the dimer model: If the distances between circle centers are interpreted as edge weights, the Miquel move preserves probabilities in the sense of urban renewal.


2021 ◽  
Vol 7 (6) ◽  
pp. eabe1100
Author(s):  
Li-Xia Zhao ◽  
Kang Zhang ◽  
Koen Siteur ◽  
Xiu-Zhen Li ◽  
Quan-Xing Liu ◽  
...  

Spatial patterning is a fascinating theme in both theoretical and experimental ecology. It reveals resilience and stability to withstand external disturbances and environmental stresses. However, existing studies mainly focus on well-developed persistent patterns rather than transient patterns in self-organizing ecosystems. Here, combining models and experimental evidence, we show that transient fairy circle patterns in intertidal salt marshes can both infer the underlying ecological mechanisms and provide a measure of resilience. The models based on sulfide accumulation and nutrient depletion mechanisms reproduced the field-observed fairy circles, providing a generalized perspective on the emergence of transient patterns in salt marsh ecosystems. Field experiments showed that nitrogen fertilization mitigates depletion stress and shifts plant growth from negative to positive in the center of patches. Hence, nutrient depletion plays an overriding role, as only this process can explain the concentric rings. Our findings imply that the emergence of transient patterns can identify the ecological processes underlying pattern formation and the factors determining the ecological resilience of salt marsh ecosystems.


2021 ◽  
Vol 143 (5) ◽  
pp. 1397-1430
Author(s):  
Huabin Ge ◽  
Bobo Hua ◽  
Ze Zhou

2020 ◽  
Vol 4 (2) ◽  
pp. 46-52
Author(s):  
Yudhi Ardiyanto ◽  
Muhamad Yusvin Mustar

The Ishihara method is one way to detect whether or not someone suffers from color blindness. This method possesses several sets of plates or circle patterns containing various combinations of colored dots and sizes, forming numbers visible for people with normal eyes. A collection of several plates with the name Ishihara book is available in the market. However, the book has a weakness for being easily damaged or faded in color. Although there are some shortcomings, several researchers have developed applications to anticipate those weaknesses. Being unable to be used by several people at once and the test history has not been adequately archived, are several examples of shortcomings of existing applications. This study aims to create a client-server-based color blindness testing mobile application. The system can provide real-time test results, and detailed test history is presented. Another feature is the push notification menu that sends messages to all users. This application has been designed and implemented successfully. Thereby, it can be used for a color blindness test before conducting a medical examination.


2020 ◽  
Vol 306 (1) ◽  
pp. 203-220
Author(s):  
Yue-Ping Jiang ◽  
QiangHua Luo ◽  
Ze Zhou

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