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Close to the infinity
Antonis Margaritis, Andreas Varverakis, Ioanna Mountriza, Alexandros Sygkelakis and Irini Perissinaki

The infinity team
Lectures on the brain development
The guest speakers
The audience

Infinite idols of a pot
Use instructions of a phenakistoscope

Animated images on the mirror
The "domino" of mathematical induction
A demonstration of the proof process
Infinities are... infinite!
Explanations to students
Time for paradoxes
The students are impressed
...but they need to think about it more.
The snowflake Von Koch and paradoxes
Construction stages of the snowflake
Elastic collisions and the number pi (π)
An unexpected algorithm
to compute the digits of π
Some explanations are needed.
Some tricks with infinite magic

Students at the Anatomy-History laboratory
Time for observation
Activities with the professor M. Margariti

On Wednesday 13th of March 2019, the Medical Museum of the University of Crete organized a day conference with title "Adolesence and brain developement" which was attended by numerous students from many schools (program). Our school, as co-organizer, participated to the activities. The Maths -as the year before- was present with an exhibition about infinity, prepared both by students and teachers. For sure, the infinity is hardly conceived by our brain and gets it to its limits creating paradoxes.

Our exhibits have been categorized in 8 themes -the numbers shown below (which you'll have to click them). Each image can be enlarged by a click on it and by a second click it gets back to the original size.

   1     2     3     4     5     6     7     8   

1. The lemniscate : the symbol of infinity

The symbol of an "eight on its side" is known as the lemniscate and is the symbol of infinity. The English mathematician John Wallis (1616-1703) introduced the symbol to represent mathematical infinity in his Arithmetica Infinitorum of 1655, while the Swiss mathematician Jacob Bernoulli (1654-1705) first called the shape a lemniscus (Latin word for ribbon) in an article in Acta Eruditorum in 1694.

These are our exhibits for the symbol of infinity

The carnival mask

The poster created by Natalia (B3).

Möbius strip

The poster was created by Georgia and Elias (B1). See also this article of Math Laboratory.

Solar analemma

If we get one photo of the Sun each week the same day and hour (for instance when it gets to its highest point) then in a year we shall have 52 photos which combined will show a solar path in a shape of a non-symmetric lemniscate. The non-symmetry is due to the fact that the Sun moves faster during winter.

The photos below where taken by Anthony Ayiomamiti, here is a link to his collection.

Lemniscate with GeoGebra

It takes only three steps to construct a lemniscate with GeoGebra (download the complete file from here)

  1. In the imput line type x^2-y^2=1 to create the hyperbola x2-y2=1.
  2. Then type x^2+y^2=1 to create the circle x2+y2=1.
  3. Finaly, choose the tool of "inversion on a circle" and first click the hyperbola and then the circle. The lemniscate will be instantly created.

You may experiment on the Jacob Bernoullis' lemniscate with this application created by the mathematician Soula Soufari.

The brain lemnisci

When we chose the "infinity" as our subject for the math exhibition in the brain event we had no idea that the brain itself has its own lemnisci...

Return to numbers

This site is mastered by Irini Perissinaki iriniper[ατ]
Background image by 123RF