Some more work from a couple of years ago, a small project exploring mathematical growth and fibonacci numbers. The first four images are the result of the sketchbook work below.
... and this is the first post I see? Maths and art? Nice!
I use golden spirals and some brief examples of the use of the golden ratio in one of my off-curriculum lessons in the hope that it might inspire a couple of students in some way... I'm all for obvious examples of maths in art (or nature. Or anything else).
hey i'm pretty much convinced that everything can be reduced to numbers... shame i pretty rubbish at maths really :) except for measuring stuff... i kick ass at measuring stuff.
The entire universe and everything in it can be explained and described by maths. It is the only discipline that works with absolute truth. Everything else is informed opinion at best.
You are NOT rubbish at maths. You're just out of practise with formal maths. But who isn't? Most people who say they are rubbish at maths just don't realise how much they do automatically in everyday life- they're so good at it, they don't even realise they're doing it!
only people who rally know the significanse of how to use math as a artistic language have the hability to notist the beuaty and perfect sincronisations that apear in the universe... you may be "rubbish" in math, but belive me, i applaude your effort!!!
Forest6: The Fibonacci 'code' (more accurately called a 'sequence') is just a list of numbers that proceeds with a rule. You're used to sequences- the 4 times table is a sequence with the rule "add 4 on each time". The Fibonacci sequence has a slightly more complicated rule: "add the previous two numbers together."
This means that we get the following list:
1, 1, 2, 3, 5, 8, 13, 21, ... (To get the 8, for example, we added 3&5 together)
What Toni has done is utilise this sequence in a visual way. In drawing the spirals she's actually drawn a series of arcs with the radius of each successive arc being the next number in the Fibonacci sequence. In order to make this easier it looks like she's drawn squares adjoining each other: doing this in the right way builds up a series of squares with side lengths of each successive number in the sequence.
It's kind of difficult to describe in words, but I could show you how to construct a basic Fibonacci spiral via Google+ Hangouts or something, then I'm sure you could run with it?
Thanks for taking the time to try to explain that to me. I saw this on pinterest and then ended up on youtube learning about the Fibonacci this morning. I remember being mesmerized by the centre of an echinacea flower once and now I see the link. I'm not sure I'm ready to create pics like these with my knowledge but its a start. Thank youuuuuuuuu xx
... and this is the first post I see? Maths and art? Nice!
ReplyDeleteI use golden spirals and some brief examples of the use of the golden ratio in one of my off-curriculum lessons in the hope that it might inspire a couple of students in some way... I'm all for obvious examples of maths in art (or nature. Or anything else).
hey i'm pretty much convinced that everything can be reduced to numbers... shame i pretty rubbish at maths really :) except for measuring stuff... i kick ass at measuring stuff.
ReplyDeleteThe entire universe and everything in it can be explained and described by maths. It is the only discipline that works with absolute truth. Everything else is informed opinion at best.
ReplyDeleteYou are NOT rubbish at maths. You're just out of practise with formal maths. But who isn't? Most people who say they are rubbish at maths just don't realise how much they do automatically in everyday life- they're so good at it, they don't even realise they're doing it!
only people who rally know the significanse of how to use math as a artistic language have the hability to notist the beuaty and perfect sincronisations that apear in the universe... you may be "rubbish" in math, but belive me, i applaude your effort!!!
ReplyDeleteI would love to know how this actually works.How you used the code to make this..ect..what the code is...
ReplyDeleteForest6: The Fibonacci 'code' (more accurately called a 'sequence') is just a list of numbers that proceeds with a rule. You're used to sequences- the 4 times table is a sequence with the rule "add 4 on each time". The Fibonacci sequence has a slightly more complicated rule: "add the previous two numbers together."
DeleteThis means that we get the following list:
1, 1, 2, 3, 5, 8, 13, 21, ... (To get the 8, for example, we added 3&5 together)
What Toni has done is utilise this sequence in a visual way. In drawing the spirals she's actually drawn a series of arcs with the radius of each successive arc being the next number in the Fibonacci sequence. In order to make this easier it looks like she's drawn squares adjoining each other: doing this in the right way builds up a series of squares with side lengths of each successive number in the sequence.
It's kind of difficult to describe in words, but I could show you how to construct a basic Fibonacci spiral via Google+ Hangouts or something, then I'm sure you could run with it?
Hey Briggs,
DeleteThanks for taking the time to try to explain that to me. I saw this on pinterest and then ended up on youtube learning about the Fibonacci this morning. I remember being mesmerized by the centre of an echinacea flower once and now I see the link.
I'm not sure I'm ready to create pics like these with my knowledge but its a start.
Thank youuuuuuuuu xx