O my God! :O :O exercise for me.. I am very bad in maths and I din't know meaning ,spelling of chikku kolam...what to do now... :D :bigsmile: friends waiting for help from all of you... :D (surys help please).... I am going to hunt for maths tuition :) hence iam on leave today....(escapeeeeeeeeeee) :D :D :D
wonderful creation mOhanaji....texture and colours are wonderful..congrats... :party: .Let me try . :)
Hehe...laksh...nalla maattikkittiya...(trapped nicely na :p )...u shd've listened to me ;) when i begged u not to scare us with all ur math quiz on fb...hmmm now its ur turn to get scared.... :p jokes apart...jkm sir...thanks a lot for this astonishing pattern ....never expected so much calculations in this kolam....thanks again for sharing....congrats on rod :)
congrats on rod sir,,, this looks very pretty,,, i would like to try it in my black board with d same cols,,,, ofcourse will try this maths quiz also :)
Sir thank you .Jerry ko maza aa gaya ....Tom tit for tat ..ab karo hisaab.... agar aap batayenge muje apna janam din tho mai aapki todisi madad kaer saktihon. Toms no no no no no help.......
"How can he be inspired by that simple rangoli!?", says Surya! :D
Great work and math, Mohanaji. We had fun trying it out, real quick on the wall, and paper.
http://www.ikolam.com/mohanajis-rangoli-paper
http://www.ikolam.com/really-quick-try
Wow Amazing dotted rangavalli sir and the multi-coloring is awesome. :star: :star: :star: :star: :star: :)
To my little brain 0:) I analyzed and found some calculations sir. I can not express it in mathematical words. So I write them in my style sir. Pardon me if any mistakes are there... :(
n = 0, lines 0, dot 1
n = 1, lines 1 ( 0+1), dots 5 ( 1+ 4), difference 5- 1= 4 ( 0+ 4)
n = 2, lines 5 ( 1+4), dots 25 ( 5+ 20), difference 25- 5= 20 ( 4+16)
n = 3, lines 9 ( 5+4), dots 61 ( 25+ 36), difference 61- 25= 36 ( 20+16)
n = 4, lines 13 ( 9+4), dots 113 ( 61+ 52), difference 113- 61= 52 ( 36+16)
n = 5, lines 17 (13+4), dots 181 (113+ 68), difference 181-113= 68 ( 52+16)
n = 6, lines 21 (17+4), dots 265 (181+ 84), difference 265-181= 84 ( 68+16)
n = 7, lines 25 (21+4), dots 365 (265+100), difference 365-265=100 ( 84+16)
n = 8, lines 29 (25+4), dots 481 (365+116), difference 481-365=116 (100+16)
n = 9, lines 33 (29+4), dots 613 (481+132), difference 613-481=132 (116+16)
n =10, lines 37 (33+4), dots 761 (613+148), difference 761-613=148 (132+16)
The line count may be achieved from adding the previous level lines with 4.
The dots count may be achieved from adding the previous level of dots with the difference between the two level of dots added with number 16.
I think, We can go indefinitely with n value. I can not found the relationship of n with the line and dot counts sir... :( Can u please explain it... :)
Thank u so much for sharing the calculations besides the rangavalli... :)
Thank you all for your kindness in appreciating this work. gOmatI ma'am, your analysis is correct. The number of dots can be obtained by the formula 8*n^2 - 4*n + 1 and the number of lines by 4*(n-1) + 1. There is a website called oeis.org (on-line encyclopedia of integer sequences) where one can obtain sequential relationships. I am glad that the young ones had fun, latAjI! Yes, chandy ma'am, it requires a lot of patience to do these rangOlis. It is the weaving that eats up the time. Again, thanks sUryA! If you liked this, wait for my paper on the extended sona patterns :-) Regards! - mOhana
In reply to O my God! exercise for by lakshmiraghu
In reply to Thank you all for your by jkmrao