Adventures Challenge Santa Pi

Santa Pi’s heart

Pay attention to the heart. It’s a YouCubed Heart.

youcubed heart




One day I said to my beloved Miss Circle: “Youcubed my heart!” And she was SO happy.


This image repeats the logo of YouCubed, a math project for teachers, students and parents.

You can see in this Heart many of the friends I met at the Plan’s Feast: triangles and parallelograms, like rhombuses and perfect squares. Try to count them!

This Heart could be a fantastic image for our Portuguese pavement – Calçada Portuguesa – a traditional-style pavement used for many pedestrian areas in Portugal. It consists of small flat pieces of stones arranged in a pattern or image, like a mosaic. It can also be found in Olivença (a disputed territory administered by Spain) and throughout old Portuguese colonies, such as Brazil and Macau. Portuguese workers are also hired for their skill in creating these pavements in places such as Gibraltar. Being usually used in sidewalks, it is in squares and atriums that this art finds its deepest expression.

One of the most distinctive uses of this paving technique is the image of Saint Elizabeth of Portugal – Rainha Santa Isabel – in Coimbra, designed with black and white stones of basalt and limestone.

In Wikipedia

Many of Portuguese pavements are mathematical tessellations. A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

Tessellations can be found in many areas of life, like art, architecture, hobbies… Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the work of M. C. Escher.

And in Nature the paving also appears, related even with the main activity of insects, like bees.

So, in fact, hexagons are the best mathematical creatures for bees. 🙂


Santa Pi’s final challenge:

Try to create different color tessellations that «change» the Heart of YouCubed – for example, one color for squares, another for triangles, … With incredible effects, for sure!


losangoYou can see an example of great colour effect in this photograph taken at Casa da Música in Oporto. It is a detail of the Renaissance Room.


quadradoCome to Portugal to know our mathematics!

In Lisbon, we have friezes – friso – and patterns – padrões. In mathematics, a frieze or frieze pattern is a design on a two-dimensional surface that is repetitive in one direction. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.

Some other day I’ll talk more about these mathematical relations.

For today, I’ll just say this:

pi natal NA 😉

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