Ellipse and Oval in Baroque Sacral Architecture in Slovakia

Grúňová, Zuzana; Holešová, Michaela

doi:10.1515/cee-2017-0004

Cited by 3 publications

(1 citation statement)

References 6 publications

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“…This transition is accompanied by the appearance of the new properties, the essence of which has a common basis (Jung et al, 2017, Church et al, 2019. Consequently, the results obtained on one object can be applied to another (Nowack, 2014, Grúňová & Holešová, 2017. The algebraic curves developed by different mathematicians were compared with the shapes of real bird eggs and the analysis of approximately 20% or 16,940 eggs from our database was performed (Mytiai & Matsyura, 2019).…”

Section: Introductionmentioning

confidence: 99%

<span>Mathematical interpretation of avian egg shapes</span>

et al. 2020

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The general principles of ovoid shapes and their mathematical interpretation were considered concerning previous data and experience. Previously, bird egg description was carried out using the composite ovoid model. According to this model, an ovoid is considered as a set of arcs with a smooth transition between them. The studied group of eggs was named true ovoid. They differ from other forms in size of their infundibular zone radius (thick end) that is almost equal to half of the diameter (0.5D ± 0.01 ˂ ri = 0.5D).We suggested that this commonality, a priori, implies the presence of an abstract geometric model, which is a satisfactory solution and logical approach for analyzing the diversity of natural ovoids. Such a model is a system of circles passing into each other. This allows, within a single system, to assign a vendor code to each form, which involves the name, geometric shape, and quantitative parameters that can be implemented in bird taxonomy.Early, 0.01 D was chosen as the model difference value and the ratio of symmetrical eggs in the analyzed database was 1.1%. In this research, we extended the difference value to 0.05 D and this covered 6.0% of the egg shapes. This is the maximum interval at which the curvature of the polar zones does not visually differ. We revealed that the variability in the egg shapes depends on the radii of curvature of the lateral and polar arcs. The larger the radius of the lateral arches, the greater the degree of freedom for variation of the lateral arches. We supposed that our data could associate any form of bird egg with its biological content. In turn, many ovoid features relevant to other natural objects can be used in bird taxonomical study.

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Section: Introductionmentioning

confidence: 99%

<span>Mathematical interpretation of avian egg shapes</span>

et al. 2020

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Vilnius Cathedral Ceiling Interactive 3D Models—Exploration and Digitalization

Makutėnienė

2018

Advances in Intelligent Systems and Computing

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3D Model of Hricov Castle Enhanced by Real Textures

Cesnek

Decký

Piry

et al. 2022

Civil and Environmental Engineering

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The authors present the law protection of cultural monuments in the Slovak Republic and the outputs of an interesting case study, more specifically the creation of a 3D model with real textures of Hricov Castle, which was created in 2019 with additional improvements done in 2022. Ruins of Hricov Castle are located in the village of Hricovske Podhradie, 15 km from Zilina. For model creation, devices obtained within the project of the Broker centre of air transport for the transfers of technology and knowledge into transport and transport infrastructure was used. The 3D model of Hricov Castle created by team leader Tomas Cesnek currently presents one of the most realistic Slovak digital 3D models created by laser scanning technology. This model will be a part of the permanent exhibition of Hricov Castle in the historical toll building from 1556 in Dolny Hricov, Slovakia, the reconstruction of which is ensured by the members The Association of Friends of Hricov Castle. Model creation methodology and the use of special textures should be used to produce more realistic laser scan 3D models.

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Ellipse and Oval in Baroque Sacral Architecture in Slovakia

Cited by 3 publications

References 6 publications

<span>Mathematical interpretation of avian egg shapes</span>

<span>Mathematical interpretation of avian egg shapes</span>

Vilnius Cathedral Ceiling Interactive 3D Models—Exploration and Digitalization

3D Model of Hricov Castle Enhanced by Real Textures

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