An interesting variation on Montessori's "Trinomial Square"?

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Harmonic Squares
Harmonic Squares

2ab + (b-a)² = C²
2ab + (b-a)² = C²

In Trinomial terms of a b c
In Trinomial terms of a b c

Exposition
Exposition

3 4 5 Pieces
3 4 5 Pieces

3 4 5 Goals I
3 4 5 Goals I

8 15 17
8 15 17

5 12 13
5 12 13

7 24 25
7 24 25

A Curious Formula
A Curious Formula

Curiosity 5 12 13
Curiosity 5 12 13

Curiosity 7 24 25
Curiosity 7 24 25

3 4 5 equation a
3 4 5 equation a

3 4 5 equation b
3 4 5 equation b

3 4 5 equation c
3 4 5 equation c

8 15 17 equation
8 15 17 equation

a) Small Square Area (Yellow)
a) Small Square Area (Yellow)

a) Small Square Area (Yellow)
a) Small Square Area (Yellow)

2 a variations
2 a variations

a) Medium Square Area (Red)
a) Medium Square Area (Red)

a) Medium Square Area (Red)
a) Medium Square Area (Red)

c) Large Square Area (Blue)
c) Large Square Area (Blue)

= a + b
= a + b

12 35 37
12 35 37

3 4 5 Goals II
3 4 5 Goals II
 


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Here are some of the ideas that I have been exploring.

Please let me know if there's anything you want to correct/find interesting/would like a copy of - or to purchase/participate in etc.

 Philip James Guest • Los Angeles, CA • 310.383.2327

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