File:Moser–de Bruijn counts.svg
Size of this PNG preview of this SVG file: 540 × 432 pixels. Other resolutions: 300 × 240 pixels | 600 × 480 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 540 × 432 pixels, file size: 257 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
English: Plot of the number of values in the Moser–de Bruijn sequence up to , normalized by dividing the vertical scale by . The horizontal scale () is logarithmic, with powers of four marked. |
| Date | |
| Source | Own work |
| Author | David Eppstein |
Source code
Captions added manually to a plot generated by the following source code:
import sys
from PADS.SVG import *
from math import log
def inmdb(n):
return n & 0x55555555 == n
def height(r):
return 432j-(360*(r-1)+36)*1j
def across(n):
return 72*(log(n)/log(4)+0.5)
svg = SVG(540+432j,sys.stdout)
svg.group(stroke=colors.blue) # 1/3 and 1 horiz, powers of 4 vertical
for vert in [1,1.5,2]:
svg.segment(height(vert),height(vert)+540,stroke=colors.green)
for power in [1,4,16,64,256,1024,4096]:
svg.segment(across(power)+432j,across(power),stroke=colors.green)
svg.ungroup()
points = []
count = 1
for n in range(1,4**7+1):
if inmdb(n):
count += 1
points.append(height(count/(n**0.5))+across(n))
svg.polyline(points,stroke=colors.red,fill="none")
svg.close()
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:56, 14 December 2016 | | 540 × 432 (257 KB) | Bkell | fixed labels on horizontal axis |
| 07:56, 20 November 2016 |  | 540 × 432 (257 KB) | David Eppstein | typo | |
| 07:46, 20 November 2016 |  | 540 × 432 (257 KB) | David Eppstein | User created page with UploadWizard |
File usage
The following page uses this file:
