Development of Virtual Reality Environments to Visualize the Fractals of the Dragon’s Curve Using Plato’s Polyhedra

This article presents the adaptations for creating a set of Dragon Curve fractals using the Platonic polyhedra. The modeled fractals were inserted into environments programmed with Virtual Reality (VR) resources, which allow the visitor to manipulate and visualize each iteration used to construct these fractals. The structures of HTML page hierarchies were used through geometric transformations of homothety, rotation and translation in both phases of this work: in the modeling of fractals and also in the construction of virtual rooms. The resources presented in this article can be used in the classroom to visualize polyhedra fractals using immersive glasses, in addition to Augmented Reality (AR) using smartphones or tablets. The objective of this article is to show the use of simple and free technologies, which can be used to create teaching materials with a great contribution to improving the teaching of Fractal Geometry, in addition to other areas that use graphic representations of 3D objects.

Authors

Publication Details

Journal
Journal of Education and Learning
Published
2025-02-10
DOI
https://doi.org/10.5539/jel.v14n4p21
Primary Topic
3D Modeling in Geospatial Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Development of Virtual Reality Environments to Visualize the Fractals of the Dragon’s Curve Using Plato’s Polyhedra

Paulo Henrique Siqueira
Journal of Education and Learning
3D Modeling in Geospatial Applications
article

Development of Virtual Reality Environments to Visualize the Fractals of the Dragon’s Curve Using Plato’s Polyhedra

Paulo Henrique Siqueira
article en

Abstract

This article presents the adaptations for creating a set of Dragon Curve fractals using the Platonic polyhedra. The modeled fractals were inserted into environments programmed with Virtual Reality (VR) resources, which allow the visitor to manipulate and visualize each iteration used to construct these fractals. The structures of HTML page hierarchies were used through geometric transformations of homothety, rotation and translation in both phases of this work: in the modeling of fractals and also in the construction of virtual rooms. The resources presented in this article can be used in the classroom to visualize polyhedra fractals using immersive glasses, in addition to Augmented Reality (AR) using smartphones or tablets. The objective of this article is to show the use of simple and free technologies, which can be used to create teaching materials with a great contribution to improving the teaching of Fractal Geometry, in addition to other areas that use graphic representations of 3D objects.

Journal of Education and LearningVol. 14(4)
Openalex Percentile: Top 98%
3D Modeling in Geospatial Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Development of Virtual Reality Environments to Visualize the Fractals of the Dragon’s Curve Using Plato’s Polyhedra — Paulo Henrique Siqueira · Journal of Education and Learning (2025) | TGRS Research Map | TGRS