Irregular Pentagonal Tiling - a geometric question
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Hi All
I'm busy with the question how to make a pentagonal tiling, which consists of the always same
irregular pentagon which is sometimes also mirrored.Ok, I knew that I had to think about it, but I was sure that I could solve this task but to say it right, I have no idea...
Meanwhile I know, that there are many clever mathematicians, who have discussed and solved this issue somehow. And there seem to be only 15 types of Irregular Pentagonal Tilings. The one that interests me is "Type 8" as shown and linked below.
No matter how much I try it, I am not in a position to reconstruct this geometry.so I decided to ask here in Sketchucation Forum for help
has anyone of you any idea how this geometry works or does anyone has an exact drawing of this geometry, which he/she would be able to share?any help is welcome
https://en.wikipedia.org/wiki/Pentagonal_tiling
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Too late for reflexion so Brute force!
One possibility
Red edges = 1 m
Green edge = 1.2 m
A = 78°
B = 113,5°
C = 133°
D = 72°
E = 144°
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thanks Pilou
this is so far the closest result, much closer than everything I was able to do.I never thought that it is necessary to be a doctor to solve a pentagon
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Have you seen that is an Applet here ?
(not working for me - surelly i have too hold version of something)
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Thanks Pilou - yes, in my search for the "Type 8" solution, I found this application also which is great!
And right now, a mathematician friend of mine sent me the graphic solution which I show below. (fortunately my circle of friends is working much better than my mind here
)Thanks Pilou for your perpetual patience and help!
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