Eddie your mathematics is outstanding. I have found that Quad Step Phyllotaxis is the answer for giving us the 3D geometry for the Pineapple, Strawberry and Pine-cones . Quad Step is basically made of 3 types of rings. Ring 1 2 - 4 - 8 - 16 -32 Ring 2 3 - 6 - 12 - 24 - 48 Ring 3 5 - 10 - 20 - 40 I can see that you have revealed this with your different angles of prime numbers and then what happens by adding a decimal point. It is time Academics stopped pushing Chaos Theory down every bodies throat in 2 dimensions and start listening to what you are teaching and they should stop calling 3D geometry trivial.
Love the application of the maths but that simulation is not how flowers grow and will lead to misconceptions about floral development in students. How it works is this - I appreciate this is plant science and not maths: the kind of flower you were showing is actually a composite inflorescence and each one of those dots, which you referred to as cells, are actually individual flowers! Amazing right?! That's why the whole 'flower' is called a composite inflorescence because it is a composite of many individual flowers. The flowers in the middle are called disc florets and lack petals and those on the outside are called ray florets and have petals. Now the misconception is that these grow from inside out when actually it's outside in. If you imagine a long branch with flowers arranged in a vertical spiral, intuitively you can appreciate that that branch will have grown upwards and flowers higher up are younger. Now if you looked vertically down the branch and projected the flowers in 2D you would see a pattern similar to a composite inflorescence and this is actually how composite inflorescences develop - you can think of them like squashed branches with the outermost flowers being the oldest so cells are not pushed out from the middle. Instead the floral meristem spawns the primordia that become the outermost flowers first and as these primordia develop they deplete the surroundings of the plant hormone auxin. Auxin inhibits primordia initiation so locations with the least auxin develop next - these locations will be in the auxin depletion zone and also as far away from the primordia as possible whilst still being in its zone of influence and therefore these locations tend to be located vertically above and slightly rotated from the previous primordia. In a composite inflorescence the vertical dimension is squashed and this is how you get the flat spiral. It's all to do with how the floral meristem is patterned with auxin and this dictates where the flowers will form and they form from the outside in. Obviously this is a maths lessons but maybe just say the simulation shows how we can think about this system but the plant does it in reverse. Hope you read this and find it interesting! Thanks
Greetings from India! I love your videos! I am equally fascinated by mathematics as You are! Please never stop teaching like this or making (and uploading) videos! Your style is soo underrated and deserves to be acknowledged! I wish you the very best!
Mr. Eddie. I like your way of teaching and how passionate you are. Your students are lucky having you
Eddie your mathematics is outstanding. I have found that Quad Step Phyllotaxis is the answer for giving us the 3D geometry for the Pineapple, Strawberry and Pine-cones . Quad Step is basically made of 3 types of rings.
Ring 1 2 - 4 - 8 - 16 -32
Ring 2 3 - 6 - 12 - 24 - 48
Ring 3 5 - 10 - 20 - 40
I can see that you have revealed this with your different angles of prime numbers and then what happens by adding a decimal point. It is time Academics stopped pushing Chaos Theory down every bodies throat in 2 dimensions and start listening to what you are teaching and they should stop calling 3D geometry trivial.
Well done bud, nice vid.
Also, you seem to be a v good teacher, I'm happy for your students :)
underrated eddie woo vid
Which application is that?
I like your style of carrying out lecture/presentation. I'll subscribe, I wish my school math teachers were this excited about teaching..lmao
It’s the best explanation of what the golden ratio (spiral) is. Fantastic!
Love the application of the maths but that simulation is not how flowers grow and will lead to misconceptions about floral development in students. How it works is this - I appreciate this is plant science and not maths: the kind of flower you were showing is actually a composite inflorescence and each one of those dots, which you referred to as cells, are actually individual flowers! Amazing right?! That's why the whole 'flower' is called a composite inflorescence because it is a composite of many individual flowers. The flowers in the middle are called disc florets and lack petals and those on the outside are called ray florets and have petals. Now the misconception is that these grow from inside out when actually it's outside in. If you imagine a long branch with flowers arranged in a vertical spiral, intuitively you can appreciate that that branch will have grown upwards and flowers higher up are younger. Now if you looked vertically down the branch and projected the flowers in 2D you would see a pattern similar to a composite inflorescence and this is actually how composite inflorescences develop - you can think of them like squashed branches with the outermost flowers being the oldest so cells are not pushed out from the middle. Instead the floral meristem spawns the primordia that become the outermost flowers first and as these primordia develop they deplete the surroundings of the plant hormone auxin. Auxin inhibits primordia initiation so locations with the least auxin develop next - these locations will be in the auxin depletion zone and also as far away from the primordia as possible whilst still being in its zone of influence and therefore these locations tend to be located vertically above and slightly rotated from the previous primordia. In a composite inflorescence the vertical dimension is squashed and this is how you get the flat spiral. It's all to do with how the floral meristem is patterned with auxin and this dictates where the flowers will form and they form from the outside in.
Obviously this is a maths lessons but maybe just say the simulation shows how we can think about this system but the plant does it in reverse.
Hope you read this and find it interesting!
Thanks
Where were u sir during my high school????
Greetings from India! I love your videos! I am equally fascinated by mathematics as You are! Please never stop teaching like this or making (and uploading) videos! Your style is soo underrated and deserves to be acknowledged! I wish you the very best!
223 / 71 < pi < 22 / 7