 |
Numerus Aureus |
|
|
| The
mineral world is governed by the irrational numbers, like the square
root of 2 or 3; and the world of the living, by the numbers of the
recurrence sequences such as Fibonacci, Lucas or Pell numbers which
are related to the Golden Number or Phi (F).
There is no magic, the Golden Ratio is an economical way to orchestrate
harmoniously living volumes, with less effort and maximum efficiency. |
The
Golden Rectangle
|
The
Golden Spiral
 |
|
| Calculating
Phi
Interesting relations
1
/ F
= F
/ (F
+ 1) = F
- 1
F2
= F
/ (F
- 1) = F
+ 1 |
|
 |
Pentagram
and Golden Triangle forming an Equiangular Spiral AB
/ BC = BC / AC = BC / DE = EF / DE=
= DE / DF =
AC / AD = 1 / F
= 0.618... |
|
We
find Phi in...
(see
below) |
| Nature
Phyllotaxy
The
functional arrangement of the leaves of some plants |
 |
|
| Geometric
shapes regulated by Phi |
| Polygons
(angles
36, 72 degrees)
isosceles triangles, kite, parallelogram, pentagon, decagon.
|
 |
Solids
(having
a network of pentagons or equilateral triangles) dodecahedron, icosahedron,
small and large star dodecahedron. |
|
Engineering
Le Corbusier
Construction from the Modulor.
|
Fibonacci
Numbers
There
are a lot of interesting recurrence sequences, but the most popular
one is the Fibonacci sequence. Every number or term of this sequence
is the sum of the two direct preceding terms:
Fn + Fn+1 = Fn+2
and lim. n to infinite: Fn / Fn-1
= 1.618... or Phi. |
|
 |
Art
Piet
Mondrian
Composition (1927). |
|
Paradoxical
games
Our
Quadrix
Puzzles are based on the Fibonacci or Lucas numbers and on the
golden ratio. When several pieces of these puzzles are permuted,
a small square hole appears... It
is an old mathematical trick which deceives our visual perception. |
With
4 terms of the Fibonacci and Lucas sequences, such as 3, 4, 5, and
7, we can build the base of a paradoxical puzzle
|
Example
|
Before...
|
...and
after
 |
The Quadrix,
Geometrex and Tangramagic incredible puzzles can be purchased
at:
http://www.rexgames.com
, or http://www.tessellations.com
|
| Poster |
 |
PHI,
the Golden Number
Price: $15.99
Size: 16.0" x 20.0"
In Stock, will ship in 2-3 business days
This
neat poster
shows you all the secrets of the Fibonacci Numbers.
Product
Information:
Perfect for dressing up any wall. Our high-quality poster is printed
on heavyweight 7 mil semi-gloss paper using superior dye inks.
More
info
|
| Interesting
Links:
Fibonacci Number
Calculator
Fibonacci Numbers |
|
| |
 |
Read
here
before
copying and using
any of our images
or texts. Thanks |
|
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