click to enlarge maybe
A212596 Number of cards required to build a Menger sponge of level n in origami. 1
12, 192, 3456, 66048, 1296384, 25731072, 513048576, 10248388608, 204867108864, 4096536870912, 81924294967296, 1638434359738368, 32768274877906944, 655362199023255552, 13107217592186044416, 262144140737488355328, 5242881125899906842624
(list; graph; refs; listen; history; text; internal format)
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Table of n, a(n) for n=0..16.
CTRL Byte, 2010-04-13, Menger Sponge Construction
ELJJDX, Choux romanesco, vache qui rit et intégrales curvilignes, Am-stram-gram, ticket-ticket-bus-et-tram (French)
Nick Hamblet, Σidiot's Blog, 2009-03-01, Counting Cards
Michel Lucas, Défi 66 000 tickets (French)
Dr. Jeannine Mosely, The Institute For Figuring, Business Card Menger Sponge
Nicholas Rougeux, Mengermania, Instructions
Wikipedia, Menger sponge
Index entries for linear recurrences with constant coefficients, signature (28,-160).
FORMULA
a(n) = 4*(8^n + 2*20^n) = 2^(2*n+3)*5^n+2^(3*n+2).
0,1
LINKS
Table of n, a(n) for n=0..16.
CTRL Byte, 2010-04-13, Menger Sponge Construction
ELJJDX, Choux romanesco, vache qui rit et intégrales curvilignes, Am-stram-gram, ticket-ticket-bus-et-tram (French)
Nick Hamblet, Σidiot's Blog, 2009-03-01, Counting Cards
Michel Lucas, Défi 66 000 tickets (French)
Dr. Jeannine Mosely, The Institute For Figuring, Business Card Menger Sponge
Nicholas Rougeux, Mengermania, Instructions
Wikipedia, Menger sponge
Index entries for linear recurrences with constant coefficients, signature (28,-160).
FORMULA
a(n) = 4*(8^n + 2*20^n) = 2^(2*n+3)*5^n+2^(3*n+2).
7 comments:
Less Trump
More Fractals
Make Mandelbrot Great Again !
too late ... Mandelbrot *is* super-great again! You got a cell phone? a smart phone? open it up (carefully!) and look at its antenna. These itty-bitty antennæ are Mandelbrot fractals. A fractal antenna (unlike old-fashioned traditional antennæ) can tune into a very big spectrum of electromagnetic frequencies!
Vleeptron and moNGO are working on the Less Trump thing. Watch this space.
ADDENDUM: VAMRI (Vleeptron Advanced Mathematical Research Institute) just found this supercaliafragialisticexpialidocious Cantor Dust!
Cantor and his little monsters – if I am not mistaken then Benoit (Baruch ?) Mandelbrot used this as the base idea for his fractals.
Cantor went mad when he thought about Infinity. Poor bugger.
Did you know that you can find those little Cantor Monsters in a Bach Cello Suite ?
I would like to remind the public that you can do this stuff yourselves. There are various free 3D fractal generators out there. You will need some time and patience but it will be worth it. Making Fractals is better than Making War.
too late ... Mandelbrot *is* super-great again! You got a cell phone? a smart phone? open it up (carefully!) and look at its antenna.
goldenslot
gclub online
บาคาร่า online
NaRong
r u carbon-based or silicon-based intelligence?
r u Thai? My sadness for the passing of Bhumipol.
Could you maybe get rid of the "Lese Majeste" law (and long Thai prison sentences for those who dare commit this odd crime)?
Please ignore if you are Nepalese or Papiementu.
I’ve got some ideas for your blog you might be interested in hearing. Either way, slot great blog and I look forward to seeing it develop over time.
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