Last love?

EURO 2016 ended with a beautiful Portuguese victory over/in France, but its soccer ball is still seen in other games, and will be remembered for some time, and so will be my previous post, I hope 🙂 I thought there would be no other ball in my life, not for a while anyway, but a fateful walk by a sports store proved me wrong:adidas072016

new (?) Admiral ball on my balcony — Thessaloniki, 7/28/16

Why do I like this ball? Well, the ends of its threefold axes are reminiscent of the fevernova, even though its six ‘feet’ bring us right back to the right ball, that is the teamgeist — hope you share my enthusiasm!

[Note: in the case of the fevernova each threefold axis has one ‘blank’ end and one ‘propeller’ end, with all four propellers ‘turning’ the same way; in this new ball each threefold axis has two ‘propeller’ ends, so there are eight ‘propellers’ in total, with four of them ‘turning’ one way and four the other way — a direct effect of reflection! (Quick question for you: do the ‘propellers’ at the end of the same threefold axis ‘turn’ the same way or opposite ways?)]

Advertisements

2 Responses to “Last love?”

  1. panos1962 Says:

    Επειδή οι δύο «γειτονικές» προπέλες που φαίνονται στη φωτογραφία έχουν ανάποδη φορά και επειδή η «απέναντι» προπέλα της αριστερής (όπως βλέπουμε τη φωτογραφία) προπέλας θα είναι «γειτονική» της δεξιάς -οπότε θα έχει ανάποδη φορά με τη δεξιά- βγάζω το συμπέρασμα ότι οι «απέναντι» προπέλες κάθε άξονα έχουν την ίδια φορά. Οπότε πρέπει τελικά να έχουμε συνολικά τρείς προπέλες του ενός άξονα προς τη μια κατεύθυνση και τρεις προπέλες του έτερου άξονα προς την αντίθετη κατεύθυνση. Κάνοντας αναγωγή της μπάλας στην υδρόγειο, έχουμε τρείς κυκλώνες και τρεις αντικυκλώνες.

  2. crystallomath Says:

    Rather poetic, this analogy between ‘propellers’ and (anti)cyclones! Note however that each cyclone is surrounded by three anticyclones rotating all three to each other, and vice versa. (Unlike reflection, rotation preserves orientation.) So, if we had two cyclones at the end of the same axis … then there would be six anticyclones altogether … whereas there obviously exist four cyclones and four anticyclones! The conclusion is that there is a cyclone at one end and an anticyclone at the other end of each threefold rotation axis.

    [Another way of looking at it: the teamgeist is the only one of the last four World Cup balls that has inversion (that is antipodal symmetry), and since inversion reverses orientation … the two ‘propellers’ at the end of the same axis, being images of each other under the said inversion, must turn opposite ways!]

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s


%d bloggers like this: