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Revision History for A229977

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A229977

Gosper island perimeter (rounded to the nearest integer) after n iterations, let starting perimeter = 1.
(history; published version)

#17 by Andrew Howroyd at Tue Mar 07 10:20:11 EST 2023

STATUS

proposed

approved

#16 by Michel Marcus at Tue Mar 07 10:14:35 EST 2023

STATUS

editing

proposed

#15 by Michel Marcus at Tue Mar 07 10:14:32 EST 2023

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GosperIsland.html">Gosper Island</a>

STATUS

approved

editing

#14 by Ralf Stephan at Wed Oct 09 04:01:17 EDT 2013

STATUS

proposed

approved

#13 by Kival Ngaokrajang at Sun Oct 06 00:50:17 EDT 2013

STATUS

editing

proposed

#12 by Kival Ngaokrajang at Sun Oct 06 00:49:31 EDT 2013

COMMENTS

The Gosper island curve bounds the space filled by the Peano-Gosper curve. The length of Peano-Gosper curve after n iterations (rounded to the nearest integer) is A017926(n) and the total number of elements is A000420(n). See illustration in links.

#11 by Kival Ngaokrajang at Sun Oct 06 00:42:09 EDT 2013

NAME

Gosper island perimeter (rounded to the nearest integer) after n iterations, let starting with a unit areaperimeter = 1.

COMMENTS

The sequence expansion ratio (a(n)/a(n-1)) is 1.133893419... which is 3*A020764.

STATUS

proposed

editing

#10 by Kival Ngaokrajang at Sun Oct 06 00:24:17 EDT 2013

STATUS

editing

proposed

#9 by Kival Ngaokrajang at Sun Oct 06 00:19:56 EDT 2013

CROSSREFS

Cf. A017926, A000420, A227381 (Koch snowflake perimeter).

Discussion

Sun Oct 06

00:23

Kival Ngaokrajang: Already changed as suggestion, Thank you.

#8 by Kival Ngaokrajang at Sat Oct 05 23:43:02 EDT 2013

COMMENTS

The Gosper island curve bounds the space filled by the Peano-Gosper curve. The length of Peano-Gosper curve after n iterations is A017926(n) and the total element number of elements is A000420(n). See illustration in links.

STATUS

proposed

editing