Sunflowers Efficiently Distribute Seeds

Based on Fibonacci numbers, sunflower seeds always appear in one of the three following combinations: 1) 34 clockwise and 21 counterclockwise rows; 2) 55 clockwise and 34 counterclockwise rows; or 3) 89 clockwise and 55 counterclockwise rows. By following a pattern based on the Fibonacci numbers, seeds are evenly distributed without any gaps, fitting the greatest possible number of seeds into the area of the sunflower’s head.

Resouce/Energy/Information Collection & Storage:: Uses light energy

Efficiency(Energy Saving, Resource Saving, Light):: Efficient arrangement

Energy saving

The pattern of sunflower seed distribution has been used for the development of showerheads with a uniform flow of water.

History
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Request History
4 previous requests available
====
Session
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Session
- Config
  userAgent146b278961f0b80dc105e136efd48481
  time1735293376
  timeout10
====
Request
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Request

Cake Params
- controllercontents
- actionview
- named(empty)
- pass
 070
- plugin(null)
- form(empty)
- url
 urlcontents/view/70
- isAjax(false)
$_GET
- urlcontents/view/70
Cookie
- 0(empty)
Current Route
- keys
 0controller
 1action
- options(empty)
- defaults
 plugin(null)
 actionindex
- template/:controller/:action/*
- _greedy(true)
- _compiledRoute#^/(?:([^/]+))/(?:([^/]+))(?:/(?P<_args_>.*))?[/]*$#
- __headerMap
 typecontent_type
 methodrequest_method
 serverserver_name
====

Sql Log

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Sql Logs

default

Query	Affected	Num. rows	Took (ms)	Actions
SHOW FULL COLUMNS FROM `contents`	16	16	12	maybe slow
SELECT CHARACTER_SET_NAME FROM INFORMATION_SCHEMA.COLLATIONS WHERE COLLATION_NAME= 'utf8_general_ci';	1	1	1
SHOW FULL COLUMNS FROM `users`	10	10	11	maybe slow
SHOW FULL COLUMNS FROM `groups`	4	4	2	maybe slow
SHOW FULL COLUMNS FROM `permissions`	5	5	2	maybe slow
SHOW FULL COLUMNS FROM `groups_permissions`	3	3	2	maybe slow
SHOW FULL COLUMNS FROM `groups_users`	3	3	2	maybe slow
SHOW FULL COLUMNS FROM `contents_searches`	6	6	2	maybe slow
SHOW FULL COLUMNS FROM `attachments`	11	11	13	maybe slow
SHOW FULL COLUMNS FROM `attachments_revs`	13	13	10	maybe slow
SHOW FULL COLUMNS FROM `contents_related_items`	5	5	2	maybe slow
SHOW FULL COLUMNS FROM `related_items`	6	6	10	maybe slow
SHOW FULL COLUMNS FROM `contents_related_items_revs`	8	8	2	maybe slow
SHOW FULL COLUMNS FROM `contents_tags`	5	5	2	maybe slow
SHOW FULL COLUMNS FROM `tags`	7	7	2	maybe slow
SHOW FULL COLUMNS FROM `tag_groups`	6	6	2	maybe slow
SHOW FULL COLUMNS FROM `contents_tags_revs`	7	7	2	maybe slow
SHOW FULL COLUMNS FROM `contents_revs`	18	18	3	maybe slow
SELECT `Content`.`id`, `Content`.`user_id`, `Content`.`last_edit_user_id`, `Content`.`post_date`, `Content`.`post_date_year`, `Content`.`post_date_month`, `Content`.`post_date_day`, `Content`.`title`, `Content`.`title_en`, `Content`.`content`, `Content`.`plain_content`, `Content`.`page_view`, `Content`.`flag`, `Content`.`mod_count`, `Content`.`created`, `Content`.`modified` FROM `contents` AS `Content` WHERE `id` = 70 LIMIT 1	1	1	0
SELECT `Attachment`.`file_name`, `Attachment`.`dir`, `Attachment`.`model`, `Attachment`.`foreign_key` FROM `attachments` AS `Attachment` WHERE `file_name` <> 'default.jpg' AND `Attachment`.`foreign_key` = (70)	2	2	0
SELECT `ContentsRelatedItem`.`content`, `ContentsRelatedItem`.`related_item_id`, `ContentsRelatedItem`.`content_id` FROM `contents_related_items` AS `ContentsRelatedItem` WHERE `ContentsRelatedItem`.`content_id` = (70)	12	12	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 1	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 2	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 5	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 6	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 7	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 8	1	1	8	maybe slow
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 9	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 9	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 9	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 4	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 11	1	1	0
SELECT `RelatedItem`.`code`, `RelatedItem`.`name` FROM `related_items` AS `RelatedItem` WHERE `RelatedItem`.`id` = 12	1	1	0
SELECT `ContentsTag`.`id`, `ContentsTag`.`tag_group_id`, `ContentsTag`.`mod_count`, `ContentsTag`.`tag_id`, `ContentsTag`.`content_id` FROM `contents_tags` AS `ContentsTag` WHERE `ContentsTag`.`content_id` = (70)	3	3	0
SELECT `Tag`.`name`, `Tag`.`comment`, `Tag`.`tag_group_id` FROM `tags` AS `Tag` WHERE `Tag`.`id` = 3	1	1	0
SELECT `TagGroup`.`code`, `TagGroup`.`name` FROM `tag_groups` AS `TagGroup` WHERE `TagGroup`.`id` = 1	1	1	0
SELECT `Tag`.`name`, `Tag`.`comment`, `Tag`.`tag_group_id` FROM `tags` AS `Tag` WHERE `Tag`.`id` = 56	1	1	0
SELECT `TagGroup`.`code`, `TagGroup`.`name` FROM `tag_groups` AS `TagGroup` WHERE `TagGroup`.`id` = 5	1	1	0
SELECT `Tag`.`name`, `Tag`.`comment`, `Tag`.`tag_group_id` FROM `tags` AS `Tag` WHERE `Tag`.`id` = 97	1	1	0
SELECT `TagGroup`.`code`, `TagGroup`.`name` FROM `tag_groups` AS `TagGroup` WHERE `TagGroup`.`id` = 7	1	1	0
SELECT `RelatedItem`.`id`, `RelatedItem`.`code`, `RelatedItem`.`name`, `RelatedItem`.`created`, `RelatedItem`.`modified`, `RelatedItem`.`flag` FROM `related_items` AS `RelatedItem` WHERE `code` = 'function' LIMIT 1	1	1	0
SELECT `Content`.`id`, `Content`.`title`, `Content`.`title_en` FROM `contents` AS `Content` WHERE id = (NULL) ORDER BY `id` desc	0	0	0

Query Explain:

Click an "Explain" link above, to see the query explanation.

====

Timer

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Memory

Peak Memory Use 9.89 MB

Message	Memory use
Component intitailization	6.79 MB
Controller action start	6.83 MB
Controller render start	6.90 MB
View render complete	7.93 MB

Timers

Total Request Time: 1250 (ms)

Message	Time in ms	Graph
Core Processing (Derived)	613.72
Component initialization and startup	18.51
Controller action	51.54
Render Controller Action	68.89
» Rendering View	64.72
» » Rendering APP/views/contents/view.ctp	35.08
» » Rendering APP/views/layouts/default.ctp	27.73
» » » Rendering APP/views/elements/header.ctp	1.85
» » » Rendering APP/views/elements/content_sidebar.ctp	0.45
» » » Rendering APP/views/elements/footer.ctp	0.57

====

Log
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Logs

====
Variables
+ –
View Variables
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 contentsTags
 0
 id1540
 tag_group_id1
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 Tag
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 Tag
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 comment(null)
 tag_group_id5
 TagGroup
 codeefficiency
 nameEfficiency (low energy, low resource, light)
 2
 id1542
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 mod_count3
 tag_id97
 content_id70
 Tag
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 attachments
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 file_nameMQ==.jpeg
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 contentsRelatedItems
 function
 0Based on Fibonacci numbers, sunflower seeds always appear in one of the three following combinations: 1) 34 clockwise and 21 counterclockwise rows; 2) 55 clockwise and 34 counterclockwise rows; or 3) 89 clockwise and 55 counterclockwise rows. By following a pattern based on the Fibonacci numbers, seeds are evenly distributed without any gaps, fitting the greatest possible number of seeds into the area of the sunflower’s head.
 ref_info
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 reg_num
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 appl_tech
 0The pattern of sunflower seed distribution has been used for the development of showerheads with a uniform flow of water.
 product
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 appl_tech_sugg
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 img_exp
 0<a href="http://www.flickr.com/photos/lucapost/" target="_blank">flickr</a> / <a href="http://creativecommons.org/licenses/by-nc-nd/2.0/" target="_blank">CC BY-NC-ND 2.0</a> From the Amazing Nature Database.
 1Photo by <a href="http://www.flickr.com/photos/aldoaldoz/" target="_blank">aldonldoz</a> / <a href="http://creativecommons.org/licenses/by-nc-sa/2.0/" target="_blank">CC BY-NC-SA 2.0</a> From the Amazing Nature Database.
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 properties
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 titleSunflowers Efficiently Distribute Seeds
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 created2011-02-04 18:01:37
 modified2012-03-16 11:54:24
- related_contentsArray
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- Loaded Helpers
 0simpleGraph
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 2htmlToolbar
 3toolbar
 4navi
 5layout
 6session
 7form
 8contentElement
 9javascript
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====

Sunflowers Efficiently Distribute Seeds

Request History

Session

Request

Cake Params

$_GET

Cookie

Current Route

Sql Logs

default

Query Explain:

Memory

Timers

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