Re: hemi truncated icosahedron

2015-06-21 Thread Kevin Karney
Fabio
Quite brilliant ! That is a tour-de-force in programming.
Best
Kevin

Kevin Karney, MA JP
Freedom Cottage, Llandogo, Monmouth NP25 4TP.
Phone 01594 530 595 Mobile 07595 024 960

 On 19 Jun 2015, at 22:44, Fabio nonvedolora fabio.sav...@nonvedolora.it 
 wrote:
 
 Hi all
  
 I’ve just finished a new paper sundial, it is available as app 41, 
 www.sundialatlas.eu/atlas.php?app=41 
 http://www.sundialatlas.eu/atlas.php?app=41
  
 It is like an hemi-sphere but realized with an half truncated icosahedron.
 To simulate the sphere I used this archimedean solid, also known as 
 fullerene, with 32 faces: 12 pentagons and 20 hexagons.
 It is also rendered with the image of the Earth (image credit of NASA – 
 Goddard Space Flight Center)
  
 Setted any coordinates, the app turns the solid so that the correspondent 
 point becomes the lower point, on the vertical axis trough the center of the 
 solid, then it dissects the solid with an horizontal plane to get the pseudo 
 hemisphere.
 The app returns a pdf of 3 pages. The 1st with the section, the 2nd with the 
 development of the half solid and the 3th with the basement and the gnomon.
  
 The edge of the gnomon reaches the center of the solid and shows the time in 
 the concave pseudo hemi-sphere where  there are also drawn the hour lines.
 The edge of the shadow shows the time but also the point on the Earth where, 
 moment by moment, the Sun is at zenith.
  
 The algorithm is quite complex, the time to get the pdf may be about 18 
 seconds (server time) for half analemma every hour to about 72 seconds for 
 the whole analemma every 5 minutes (not very useful). A common case of half 
 analemma every 10 minutes require about 30 seconds.
  
 Important note: the browsers have embedded a pdf reader to show these files 
 but they are not very accurate. May be you see lines slightly out of position 
 or you don’t get printed the dotted lines. The solution is very simple, save 
 the pdf in your computer, then open the file with Acrobat Reader, it is fully 
 able to show and print the whole content.
  
 On the top face you can also read the amplitude and the daylight arc.
  
 I verified the app with many locations, everything seems ok but your reports 
 will be welcome.
  
 Enjoy the summer solstice on app 41, ciao Fabio
  
 hemi-truncated-icosahedron[1].jpg
  
 Fabio Savian
 fabio.sav...@nonvedolora.it
 www.nonvedolora.eu
 Paderno Dugnano, Milano, Italy
 45° 34' 10'' N, 9° 10' 9'' E, GMT+1 (DST +2)
 ---
 https://lists.uni-koeln.de/mailman/listinfo/sundial
 

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hemi truncated icosahedron - 2

2015-06-20 Thread Fabio nonvedolora
a note.

The 3d picture I send this night had a reversed map, East with West, due to the 
riconstruction of the 3D software.
Now I upload the right image in the webpage of the app 41. Obviously the app 
hadn’t this problem.

Without a great effort, it is possible to recreate the same app changing the 
render, for example, political map, time-zone map, Mars, and so on. If you have 
any projects I need only a mercator map with a good definition.

ciao Fabio

Fabio Savian
fabio.sav...@nonvedolora.it
www.nonvedolora.eu
Paderno Dugnano, Milano, Italy
45° 34' 10'' N, 9° 10' 9'' E, GMT+1 (DST +2)---
https://lists.uni-koeln.de/mailman/listinfo/sundial