- #1
Stephanus
- 1,316
- 104
Do anybody know why beehive is hexagonal?
The angle of polygon are determine by this formula: (I use degree instead of radian)
##Angle = (Sides -2) * 180## where sides are integer.
the inner angle is
##A_{inner} = \frac{Angle}{Sides}##,
So I compile a list of polygon that if put side by side, will fill a circle.
Polygon, inner angle, number of polygon
Triangle, 600, 6.
Rectangle, 900, 4
Pentagon, 1080, 3.333
Hexagon, 1200, 3
Seven-gon, 128.570, 2.8
Octagon, 1350, 2.666
The more, the closer the result to 2.
So, only triangle, rectangle, and hexagon can fit full cirle.
So, hexagon is the most stable polygon that can fit full circle. The most sides that can fit a circle. Bees do not know about math, how can they choose hexagon?
How do they create the hive?
Or, it's only random evolution, the species with hexagon survive.
The angle of polygon are determine by this formula: (I use degree instead of radian)
##Angle = (Sides -2) * 180## where sides are integer.
the inner angle is
##A_{inner} = \frac{Angle}{Sides}##,
So I compile a list of polygon that if put side by side, will fill a circle.
Polygon, inner angle, number of polygon
Triangle, 600, 6.
Rectangle, 900, 4
Pentagon, 1080, 3.333
Hexagon, 1200, 3
Seven-gon, 128.570, 2.8
Octagon, 1350, 2.666
The more, the closer the result to 2.
So, only triangle, rectangle, and hexagon can fit full cirle.
So, hexagon is the most stable polygon that can fit full circle. The most sides that can fit a circle. Bees do not know about math, how can they choose hexagon?
How do they create the hive?
Or, it's only random evolution, the species with hexagon survive.