The art of triple geometry is explained here and some of its many and surprising applications are shown.
Expressing a number as a sum or difference of squares is given, and applications of this are shown in the solution of equations and in 3-dimensional contexts too.
The 3-dimensional equivalent of Triples (called Quadruples) is explained and an application of this in Astronomy is shown.
These beautiful results and methods will inspire anyone with the basic knowledge that a 6th grade student should have.
The various Sutras of Vedic mathematics come naturally into play in these easy and simple techniques which are carefully and clearly explained.
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