The Power of the Rhombus

Rhombic 6 Star; Order 3.

Rhombic equation in penned Triangles.

a¹+b¹=c¹

5 Triangles + 1+3 Triangles = 1+3+5 Triangles

5 + 2¹ = 3¹

Note: 1 between triangled sides b&c, 2&3.

a¹+b¹+c¹

5+4+9= 18 triangles = 9 Rhombuses.

The smallest Order 1 Rhombus within; 

0¹+1¹+1¹= 2 Triangles.

Note: 1 difference between sides a&b, 0&1.

Number 2, the first and only Even Prime Number, the smallest Rhombus.

Rhombic 6 Star; Order 4.

Rhombic equation in Triangles

a¹+b¹=c¹

7 triangles + 1+3+5 triangles = 1+3+5+7 triangles

7 + 3¹ = 4¹

Note: 1 difference between sides b&c,  3&4.

a¹+b¹+c¹

7+9+16 = 32 triangles = 16 Rhombuses.

The smallest Order 1 Rhombus within; 

0¹+1¹+1¹= 2 Triangles.

Note: 1 difference between sides a&b, 0&1.

Number 2, the first and only Even Prime Number, the smallest Rhombus.

Inside the three sides of the 3',4',5' Pythagorean Triangle Triangled are 12 equilateral triangle areas.

6 Rhombic areas.

Rhombic 6 Star; Order 3.

Each Rhombus is populated with integers like a Magic Square.

All 8 variations to the magic 3 square are shown linearly from top to bottom.

834 672

159 159

672 834

294 438    276 618

753 951    951 753

618 276    438 294

492 816

357 357

816 492