Reproduction
By an idea of Piet Ruhe
Hi Mira,
Do you remember that night? It was the 28 Mar 2000. You was testing your solver with the SexeHexeS and I said you: try to solve the triangle, but left out the "MFMFMF".
Do you remember? You sent me the solution after 1/2 hour. It was midnight.
A great solution! Your solver is really powerful.
Mira ?!?
Are you listening to me?
Mira, where have you put that piece?
The "MFMFMF". Mira! Mira! Mira!
Don't joke. That piece is trisexed. It reproduce, worse than an Italian!
Tell me you haven't forgot it in the culture broth!
Noooooooo!!!!!!!!
It does a generation every second. Its surface is multiplied by 4 every generation. Its original surface of 1 cm2 becomes 1 Km2 in 16.61 seconds. In 31.07 seconds it covers the entire Earth!
We are f... (how do you say in English?)
_________________
The day after
We could represent the fractal with the true Sexehex:
I preferred to draw it with its fullhexagonal form because it seemed me simpler, linear and elegant.
For this simplicity, a famous Mathematician said me:
"Your hexagonal fractal must be old (it's generated by such a simple rule)"
A famous Phisicist said the same thing:
The idea of Piet Ruhe is not trivial.
Notice below the hexagonal form of the SexeHexeS. They seem to the PolyHes of Andrew Clarke, but they are an other thing. They have a 'baricenter' on a triangular grid, as the 3 colors painting proves.
_________________
Two days after
The Fractominoes
The ideas also reproduce.
Nothing is so concrete as the thought. [Democrito]
If 2+2=4, a Sexomino must to germinate. I think there are 3 SexeHexeS and 2 Sexominoes that could germinate. Notice that they aren't 'Reptiles', because they don't reproduce the exact form, but the male/female concept.
Below there is the second bibisex Sexomino:
Many Order(n^2) PolyOminoes could generate a fractal, but none does it more simply than the Sexehex "FMFMFM". (I think!)
_________________
Three days after
The Fractalcubes
If 2x2x2=8, a SexCube must to germinate. Below there is an octacube that you could see as sexcube 2x2x2. Normally it could fill the space.
But if you use it to make a reproduction of itself, you obtain this construction:
Let me try with a 3x3x3 SexCube:
Each generation could fill the space.
_________________
A curiosity:
In a 2 dimensions world, A don't enter in B. To insert A in B, you need the 3.rd dimension . It's the same thing for the FractalSexCube. If you want to insert a FractalSexCube in an other, you need the 4.th dimension, for example a spacetime jump. If you don't have a spacetime jump then you could try with a hammer.
_________________
August 15th, 20002D simplest possible fractal
The sexehexes fractal has a simpler version, inspired from an Italian floor that I have seen the last holiday:
If you represent the three hexagons with the baricenters, probably you get simplest possible 2D fractal:
_________________
First edition: 23 June 2000

HOME 

email 
Download 
Links 
Chronicle 

PENTOMINOES 

More about pentominoes 
The cube 
3D pentominoes 
Maximizing 

POLYSEXES 

Sexominoes 
Xominoes 
Zucca's Puzzle 
Domino Puzzle 
SexCubes 
Dodecaculeus 
Tubominoes 

SEXEHEXES 

SexeHexeS For Sale 
More about SexeHexeS 
How we did it 
Other Sexehex Puzzle 
My Solution 
Reproduction 

POLYMULTIFORMS 

PolyEdges 
Fourier Series of a Square 
Order 13 Perfect Square 
Fibonacci Machine 