Golden Triangle in PhenomenaKultainen kolmio ilmiöissäGeometryIn the Golden Triangle the lengths of the margins are 1 and 0.5 unit, this means the hypotenuse is 1.1(18) units. SQR (12 + 0.52) = 1.118 1 - 1.12 - 1,21 - 1.31 - 1.46 - 1.61(8) Image above lefft: 1 / 1.618 = 0.618 The Golden Ratio 1.618 Image below on the left: 1 - 1.12 - 1.25 Ratio sequence (1 - 1.12 - 1,21 .....) Image below on the right: 2 x 0.5 + 0.618 The Golden Ratio 1.618 The perimeter is 2.618 units 1.618 x 1.618 = 2.618
1.618 + 1 = 2.618
EP-CalculationIn the phenomenon, studying the alteration of the value, the initial value has its proportional value of 1 => when the one dimensional (1d) value's length alteration 1.118 (1.12). The value alteration is 1.4641 times the original value as the Pascal's Triangle shows. 1,11,1 x 1,1 = 1,211,1 x 1,1 x 1,1 = 1,3311,1 x 1,1 x 1,1 x 1,1 = 1,46411,1 x 1,1 x 1,1 x 1,1 x 1,1 = 1,61(8) The Golden Ratio0.618 + 0,500 = 1.118
0.618 / 0.500 = 1.236
1 + (2 x 0.118) = 1.236
1 / 1.618 = 0.618
0.138 / 0.089 = 1.55
1.2362 = 1.527
1.618 x 1.618 = 2.618
1 + 1.618 = 2.618
Strength CalculationIn strength calculation the normal stress having the nominal value of 1 ==> the shear sress of the same power has the value of 1.7 according to formulas. The strength calculation ables know the before said. Space Diagonal in the Strength CalculationIn strength calculation the normal stress having the nominal value of 1 (edge length of the cube) ==> the shear sress of the same power has the value of 1.7 according to formulas. The strength calculation ables know the before said. SQR = Square root SQR (3) = 1.7 The figure above maintaining one decimal made the same. Both values (1.118 and 0.618) are of two different hypotenuses, such as cutting and bending are from different points in bended beam. The shear stress effect difference between the forces is 1.70 times the nominal value of 1. 1.1(18) + 0.6(18) = 1.7 Therefore, firewood cutting is done with an ax, not trying to pull the wood to pieces. 22.9.2015*16:40 (8663 - 8660) |