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Volume 31, Number 1, pages 091-096 (2020)
https://doi.org/10.26830/symmetry_2020_1_091
HOW CAN QUADRILATERALS BE CONSTRUCTED FROM POLY-UNIVERSE TRIANGLES?
Ildikó Mojzesová1, Gábriel Dráfi2
1 Address: Mathemetics Teacher: Základná skola Gergelya Czuczora s vyucovacím jazykom madarským / Czuczor Gergely Alapiskola, Nové Zámky – Érsekújvár Slovakia / www.czuczora.eu
E-mail: ildiko.mojzesova@gmail.com
2 Address: Informatics and English Teacher: Základná skola Gergelya Czuczora s vyucovacím jazykom madarským / Czuczor Gergely Alapiskola, Nové Zámky – Érsekújvár Slovakia / www.czuczora.eu
E-mail: gabriel.drafi@gmail.com
Abstract: In this study, we first get to know the significant properties of a regular, i.e., equilateral Poly-Universe triangle through a pedagogical approach, such as the geometry structure, the symmetry arrangement in the interior, the colour combination system and its coding, and so on. In the second part, we experiment with the construction of symmetric QUADRILATERALs from POLY-UNIVERSE triangles. First, we look at the isosceles trapezium, which is also called a symmetric or cyclic trapezium. Then, we examine the rhombus, which is a parallelogram the sides of which are of equal length and has reflectional symmetry along both diagonals.
Keywords: Poly-Universe triangle, isosceles trapezium, rhombuses, quadrilateral
References:
Szász SAXON, J., Stettner, E., eds. (2019) PUSE (Poly-Universe in School Education) METHODOLOGY – Visual Experience Based Mathematics Education, Szokolya: Poly-Universe Ltd. (Publisher: Zs. Dárdai), [open access in pdf from http://poly-universe.com/puse-methodology/ 254 p. ISBN 978-615-81267-1-7].
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