Literaturnachweis - Detailanzeige
Autor/in | Teia, Luis |
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Titel | Special Case of the Three-Dimensional Pythagorean Gear |
Quelle | In: Australian Senior Mathematics Journal, 32 (2018) 2, S.36-49 (14 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0819-4564 |
Schlagwörter | Number Concepts; Geometric Concepts; Geometry; Equations (Mathematics); Mathematical Logic |
Abstract | In mathematics, three integer numbers or triples have been shown to govern a specific geometrical balance between triangles and squares. The first to study triples were probably the Babylonians, followed by Pythagoras some 1500 years later (Friberg, 1981). This geometrical balance relates parent triples to child triples via the central square method (Teia, 2015). The great family of triples forms a tree - the Pythagorean tree - that grows its branches from a fundamental seed (3, 4, 5) making use of one single very specific motion. The diversity of its branches rises from different starting points (i.e., triples) along the tree (Teia, 2016). All this organic geometric growth sprouts from the dynamics of the Pythagorean geometric gear (Figure 1). This gear interrelates geometrically two fundamental alterations in the Pythagorean theorem back to its origins - the fundamental process of summation x + y = z (Teia, 2018). But reality has a three dimensional nature to it, and hence the next important question to ask is: what does the Pythagorean gear look like in three dimensions? (As Provided). |
Anmerkungen | Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2021/2/06 |