Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2013-07-04 16:55:23

benice
Member
Registered: 2010-06-10
Posts: 117
Website

Tiling by Nested Polygons

Nested polygons generate logarithmic spiral curves and are good examples of contraction mappings.

We can use nested polygons to tile the plane and get beautiful tessellations:

tiling_by_nested_triangles_a1_s_zps0954fa23.png


tiling_by_nested_triangles_a2_s_zps60f104ec.png

These pictures are very easy to make using GeoGebra.

More tessellations and a few GeoGebra examples are here.

Offline

#2 2013-07-04 18:40:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Tiling by Nested Polygons

Hi;

Very beautiful. Hypnotic too.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3 2013-07-04 19:04:30

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Tiling by Nested Polygons

hi benice,

Really beautiful artwork.  Thanks.  smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

#4 2013-07-05 00:30:28

barbie19022002
Member
Registered: 2013-05-24
Posts: 1,314

Re: Tiling by Nested Polygons

wow....its really very very beautiful


Jake is Alice's father, Jake is the ________ of Alice's father?
Why is T called island letter?
think, think, think and don't get up with a solution...

Offline

#5 2013-07-05 00:38:19

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Tiling by Nested Polygons

Hi benice,

so glad to hear from you again


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

Board footer

Powered by FluxBB