“Enrichment beyond the classroom”
GREECE and ITALY
join a Mediterranean math-collaboration!
etwinning project 2015-2016
φ is the so-called golden ratio. It’s the number that is a solution for the equation (a+b)/a = (a/b). The reason that that’s interesting at all is because it’s got an interesting property when you draw it out: if you take a rectangle where the ratio of the length of the sides is 1:φ, then if you remove the largest possible square from it, you’ll get another rectangle whose sides have the ratio φ:1. If you take the largest square from that, you’ll get a rectangle whose sides have the ratio 1:φ. And so on.
EXPO 2016
tree of life!
From the beginning of May and continuing through the end of October, Milan is hosting the Expo Milano 2015. Held every few years, the expo becomes a global showcase for more than 140 participating countries. This year’s theme, “Feeding the Planet: Energy for Life”, highlights new advancements for the agricultural industry and centers itself on the theme of food and culture. Expo 2015 gives everyone the opportunity to explore, taste the world’s best dishes (yum!), and discover the agricultural traditions of each country through demonstrations and exhibitions, including Scent of a Dream, which was highlighted in Soft Power’s May edition. In addition to the participating countries, the fair also partners with international organizations, and expects to welcome more than 20 million visitors to its 1.1-million square-meter showcase.
Mission:The egg
It comes as no surprise,
that if Phi, the Golden Mean 8:13 Pine Cone helix phenomena
that underpins the inherent structure of all Living Systems,
especially the curvological ones,
that the pure geometry of the symbol for Creation,
the humble Egg, is indeed composed of Phi Proportions!
The ancient Jewish Qabbahalists revered the Tree of Life,
contemporary students are excited about the Flower of Life,
mystical teachers keep silent about the Seed of Life,
now we have the Egg of Life.
And perhaps in 10 years time, when we understand that petals of specific flowers
are embedded in the Harmonics of Phi
we will be ranting and chanting about the Rose of Life,
and in 20 years, the Phi-re of Life.
Yet, these are all just fads:
tree,
flower,
seed,
egg,
rose and
fire,
"All is Number" said Pythagoras!
The equation of a ...3D EASTER EGG
by team3 italian-greek
Ball, spheroid, prolate spheroid, oblate sphere and all its family can be generalized into elipsoidal equation.
Elipsoidal equation
1.2+(sqrt(1-sqrt(x^2+y^2)^2)+1-x^2-y^2)*(sin(10000*(x*3+y/5+7))+1/4)
If a=b, then we have the spheroid.
When a=b=c, then we have a sphere.
Parametric equation of the elipsoidal is given by:
where θ є [0..2 π] and φ є [0..π].
The volume is defined by total integration over x, y and z.
on the assumption that a, b and c are positive real numbers.
When a=b=c we have the volume of a sphere.
Dynamic Geometry: Euclidean Egg
The interactive figure above, created with GeoGebra, shows an step-by-step compass construction of an egg shapes, called "Euclidean egg" by Robert Dixon in his book Mathographics, Basic Blackwell Limited, Oxford, England, 1987.
To make the step-by-step construction tap or click the steps check box.
GeoGebra
GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5. It has received several educational software awards in Europe and the USA.