Kim Williams, Daniele Barbaro and the Geometric Solids

2021 ◽  
pp. 1-57
Author(s):  
Kim Williams ◽  
Cosimo Monteleone
Keyword(s):  
Kim Williams ◽  
Daniele Barbaro ◽  
Geometric Solids

scholarly journals Accuracy of common stem volume formulae using terrestrial photogrammetric point clouds: a case study with savanna trees in Benin

2021 ◽  
Author(s):  
Hospice A. Akpo ◽  
Gilbert Atindogbé ◽  
Maxwell C. Obiakara ◽  
Arios B. Adjinanoukon ◽  
Madaï Gbedolo ◽  
...  
Keyword(s):  
Point Clouds ◽  
Stem Volume ◽  
Individual Tree ◽  
Volume Calculation ◽  
Tropical Regions ◽  
Solid Of Revolution ◽  
Taper Function ◽  
Geometric Solids ◽  
Traditional Approaches ◽  
Tree Stem

AbstractRecent applications of digital photogrammetry in forestry have highlighted its utility as a viable mensuration technique. However, in tropical regions little research has been done on the accuracy of this approach for stem volume calculation. In this study, the performance of Structure from Motion photogrammetry for estimating individual tree stem volume in relation to traditional approaches was evaluated. We selected 30 trees from five savanna species growing at the periphery of the W National Park in northern Benin and measured their circumferences at different heights using traditional tape and clinometer. Stem volumes of sample trees were estimated from the measured circumferences using nine volumetric formulae for solids of revolution, including cylinder, cone, paraboloid, neiloid and their respective fustrums. Each tree was photographed and stem volume determined using a taper function derived from tri-dimensional stem models. This reference volume was compared with the results of formulaic estimations. Tree stem profiles were further decomposed into different portions, approximately corresponding to the stump, butt logs and logs, and the suitability of each solid of revolution was assessed for simulating the resulting shapes. Stem volumes calculated using the fustrums of paraboloid and neiloid formulae were the closest to reference volumes with a bias and root mean square error of 8.0% and 24.4%, respectively. Stems closely resembled fustrums of a paraboloid and a neiloid. Individual stem portions assumed different solids as follows: fustrums of paraboloid and neiloid were more prevalent from the stump to breast height, while a paraboloid closely matched stem shapes beyond this point. Therefore, a more accurate stem volumetric estimate was attained when stems were considered as a composite of at least three geometric solids.

Game-Based Learning

2014 ◽  
Vol 4 (1) ◽  
pp. 63-75 ◽  
Author(s):  
Rui Leitão ◽  
J.M.F. Rodrigues ◽  
Adérito Fernandes Marcos
Keyword(s):  
Student Engagement ◽  
Augmented Reality ◽  
Primary School ◽  
Teaching And Learning ◽  
Access To Information ◽  
Game Based Learning ◽  
Learning Context ◽  
Geometric Objects ◽  
Geometric Solids ◽  
Virtual And Augmented Reality

In teaching, the use of virtual and augmented reality has been on the rise, exploring different means of interaction and student engagement. Based on constructivist pedagogic principles, augmented reality pretends to provide the learner/user with effective access to information through real-time immersive experiences. Game-based learning is one of the approaches that have received growing interest. This paper presents the development of a game in a teaching and learning context, aiming to help students acquire knowledge in the field of geometry. The game was intended to develop the following competences in primary school learners (8-10 years): a better visualization of geometric objects on a plane and in space; understanding of the properties of geometric solids; and familiarization with the vocabulary of geometry. The authors will show that by using the game students have improved around 35% the hits of correct responses to the classification and differentiation between edge, vertex and face in 3D solids.

IL IX LIBRO DEL DE ARCHITECTURA DI VITRUVIO NEI COMMENTARI DI DANIELE BARBARO (1556-1567)1

Nuncius ◽  
1989 ◽  
Vol 4 (1) ◽  
pp. 3-42 ◽  
Author(s):  
MARIA LOSITO
Keyword(s):  
Projective Geometry ◽  
Point Of View ◽  
The Sun ◽  
Basic Construction ◽  
Orthographic Projection ◽  
Daniele Barbaro

Abstract<title> SUMMARY </title>Book IX of Vitruvius's DE ARCHITECTURA is devoted to the Gnomonica, which is the art of making solar clocks, or the second part of architecture, and to the basic construction of the Analemma, an orthographic projection of different circles of the sky - blue sphere.The present paper explains the changes to this Book between the 1556 edition and the 1567 editions of Daniele Barbaro's Commentationes.Indeed, while in 1556 Barbaro reconstructs the Vitruvian Analemma, that he had studied in the De horologiis describendis libellus, in 1567 he will more clearly define the Vitruvian Analemma by considering the Ptolemaic Analemma, after the 1562 study in Federico Commandino's Claudii Ptolemaei liber de Analemmate. Barbaro will also apply this Analemma in detail to the construction of the sun-dial, which was done neither by Vitruvius nor by Ptolemy, but in Commandino's Liber de Horologiorum descriptione.The relevance of the Analemma to the theory of planar projections of meridians is pointed out here. Indeed, even if the work of Barbaro seems traditional from the point of view of an astronomer, its implications for projective geometry are of great importance.

scholarly journals SMARTPHONE USE AND THE INSPIRA DIGITAL APP IN MATH CLASSES DURING REMOTE CLASSES

2021 ◽  
Keyword(s):  
Pedagogical Tool ◽  
Inverted Classroom ◽  
Hybrid Format ◽  
Geometric Solids ◽  
Smartphone Use

This work highlights the use of the digital inspiration application in mathematics classes as a pedagogical tool, as an explanatory/demonstrative instrument of the concepts and elements of geometric solids in the 6th grade classes, at the Professora Maura de Medeiros Bezerra Municipal School – Macau/RN. The purpose of this application was to expand the possibilities of learning in the Hybrid format in the pandemic period as an inverted classroom methodology.

Influence of Augmented Reality for the learning of Geometric Solids in Primary School students

2021 ◽  
Author(s):  
Juan Buitron-Luna ◽  
Michael Cabanillas-Carbonell
Keyword(s):  
Augmented Reality ◽  
Primary School ◽  
Primary School Students ◽  
School Students ◽  
Geometric Solids

Individual tree merchantable volume to total volume ratios based on geometric solids

1989 ◽  
Vol 19 (5) ◽  
pp. 679-683 ◽  
Author(s):  
James D. Newberry ◽  
Harold E. Burkhart ◽  
Ralph L. Amateis
Keyword(s):  
Loblolly Pine ◽  
Volume Ratio ◽  
Individual Tree ◽  
Ratio Data ◽  
Geometric Solids ◽  
Two Parameter ◽  
Tree Stem

Individual tree volume ratio equations were developed on the basis of the volume formulas of certain geometric solids. Two parameter-free and two parameterized models were formulated, based on different basal diameters. The parameter-free models should be useful when few individual tree volume ratio data exist for a given species or for a particular population of trees. The parameterized models are appropriate, of course, to those situations where volume ratio data exist. The parameter-free models performed as well as the parameterized models in the upper half of the tree stem for the loblolly pine data used for comparison. The parameterized models performed well all along the tree stem.

Sign in / Sign up

Export Citation Format

Share Document