Welcome to our community

Be a part of something great, join today!

Topic of presentation: Elementary Geometry vs Fibonacci & its sequences

mathmari

Well-known member
MHB Site Helper
Apr 14, 2013
3,965
Hey!! 😊

Between the following two topics:
  1. Elementary Geometry
  2. Fibonacci and its sequences
which would you suggest for a presentation? Could you give me also some ideas what could we the structure of each topic? :unsure:
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,632
Leiden
Hey mathmari !!

Sun flowers! 🌻 (Sun)
And various other parts of nature.
They have Fibonacci's numbers embedded in them, and the ratio approaches the golden number, which is also a nice exercise in elemental geometry where we can also see the golden number. :)
 

mathmari

Well-known member
MHB Site Helper
Apr 14, 2013
3,965
Which of them do you think is more interesting and better for a presentation?

For the Fibonacci numbers we could refer the sequence and the formula, some applications, some properties, or not?
For the elementary geometry we could refer to the properties of straight lines, circles, planes, polyhedrons, the sphere, the cylinder, or not?

Do you have an other better idea? :unsure:
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,102
The Astral plane
Just to give a though for the other possibility. With elementary geometry you can discuss the Euclid's axioms and postulates. The parallel postulate is always good fun as so many have tried to prove that it doesn't need to be included. (It does need to be because it's a launching point for non-Euclidean geometries.)

Lots of fun stuff you can talk about.

-Dan
 

mathmari

Well-known member
MHB Site Helper
Apr 14, 2013
3,965
I looked for both topics and I think Fibonacci is more specific, elementary geometry is a more abstract topic, isn't it?

As for the Fibonacci one, what do you think about the following structure:

  1. An introduction about the topic
  2. A little biography of Leonardo Fibonacci
  3. Some words about the Fibonacci sequence
  4. Some properties about the Fibonacci sequence
  5. Applications

:unsure:
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,632
Leiden
What would you put in section 3? 🤔
Which applications in section 5 are you thinking of?

Btw, if it were me, I'd include a couple of neat videos.
For starters one in the introduction - to immediately grab the attention of the audience. 🌻
And more videos in other parts of the presentation.
There are some very nice videos around that show how Fibonacci appears in nature. (Sun)
I'd also highlight the connection to the Golden Ratio, which ties it to elementary geometry as well.
That may deserve its own section. 🤔