Crop formations France 2019
Hexagon and Hexagram?!
Besides a pentagon and pentagram I have found two more geometric forms: a hexagon and -following from the hexagon- a hexagram.
It is formed by these crop formations:
22-Nielles, 9-Torigni sur Vire, 17-Lidon, 25-Pouilloux, 29-Sundhoffen and a -fictive and constructed- 6th corner.
In contrast to what is known about mathematical relationships in pentagrams, there is less published about hexagrams.
I have drawn an "perfect" hexagon and hexagram to show the length of line segments and their relationships.
In this case:
R (radius) = 4
A (side) = 4
B0 = 6,9 (=B1 + B2 + B3)
B1 = B2 = B3 = 2,3
C = 2,3
A = R = 4
R/C = 4/2,3 = 1,73913
C/R = 2,3/4 = 0,575
The length of the radius of the circumscribed circle is equal to the lenght of a side.
C is a line segment running from the center to a corner of the inner hexagon.
Can we find this mathematical relationships in the hexagon / hexagram I created?
Hexagram / Hexagon Nielles:
Because the distances between the six corners are not -again, as with the pentagon- the same it is not a "perfect" hexagon.
R = A = D = 290 (this is the mean value of the distances 297, 295, 286 and 282 km)
B0 = 498,6666... (mean)
B1 = B2 = B3 = mean value 166,2222....
C = 166,222... (mean value of six distances)
R/C = 290 / 166 = 1,74465
The difference with a perfect hexagram/gon with all equal sides is 0,00552 (5,52 promille)
C/R = 166,222 / 290 = 0,57318
Difference 0,00182 (1,82 promille)
Conclusion: the found values in the constructed hexagram/hexagon come VERY close to the values in a "perfect" hexagon/ hexagram.
Part 4 Moisselles, Notre Dame cathedral and.....Stonehenge
