Insert Equilateral Triangles and Rhombuses into number theory and instantly there is a problem.

Number Theory doesn’t count Equilateral Triangles.

Number to the power of one = number.

n¹ = n

Number to the power of two = number*number.

n² = n*n = Squared.

To the power of three = number*number*number.

n³ = n*n*n = Cubed

To resolve the number problem within these pages,

to the power of ¹

is to the power of Equilateral Triangled.

1¹=1 triangle, 2¹=1+3 triangles,

3¹=1+3+5 triangles, 4¹=1+3+5+7 triangles…

Cwantum is reducing mc² to n(2c)¹ as

containers or containment skin for energy.

NOT Solid.

To the power of

a¹+b¹=c¹ has the same solution as

a²+b²=c² with half the area.

Equilateral Triangles that Cwantum doubles to

Rhombus instead of Squared.

When the difference between any

SIDE of a Pythagorean Triple is 1.

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

Cwantum Templates.

Rhombic 6 Star; Order 1.

Cwantum Templates.

RhombicStars; Order 1.

Rhombic 6 Star (1*6).

Number 6.

The area inside the 3,4,5 Pythagorean Triangle.

Six the first Perfect Number.

32 Rhombic 3 Stars

96 Rhombuses 192 Equilateral Triangles.

Cwantum Templates.

RhombicStars : Order 2.

Cwantum Templates.

RhombicStars : Order 2.

36 Rhombic 4 Stars.

30 Rhombic 4 Stars.

24 Rhombic 4 Stars.

18 Rhombic 4 Stars.

Cwantum Templates

RhombicStars : Order 3.

Cwantum Templates.

RhombicStars : Order 4.

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