Thread by @panlepan

Clarissa Grandi (@c0mplexnumber) does some great #mathart inspired by the #Alhambra so I'm going to use her #Inktober2019 thread and add the corresponding pictures that I took at @MuseoAlhambra. #thread 1/n

https://twitter.com/c0mplexnumber/status/1179143178680754177

This pattern is much bigger than I thought, (1st room). Two sizes, on one wall the rectangles have the size of a brick. I noticed it's just a small change in the rectangle&square pattern, common on the andalusian floors, also in this room. #Alhambra 2/n

https://twitter.com/c0mplexnumber/status/1179782724976025601?s=19

Same pattern, greater size and used and the rectangle & square floor with decorated squares. #Alhambra 3/n

https://twitter.com/c0mplexnumber/status/1179869216729518081?s=19

I really liked this simple rectangle & square tiling. Saw it in Cordoba as well. It can be done with any rectangle, whatever its aspect ratio. 4/n

https://twitter.com/panlepan/status/1188516074821697536?s=19

I was surprised to discover that this lovely tiling (wallpaper group p4g) was on a round pillar.

https://twitter.com/c0mplexnumber/status/1180200936406491136?s=19

Hexagon fiesta ! #Alhambra
6/n

https://twitter.com/c0mplexnumber/status/1180795727473184768?s=19

This triple arrow design looks surprisingly modern. Do you see cubes popping out ? Interesting to compare it with the one on the right that you find in another room.
#Alhambra
7/n

https://twitter.com/c0mplexnumber/status/1181293392476676097?s=19

Took me some time to find an efficient way to draw that tiling ! Just two lines in the wallpaper group p31m. The isometric grid helped.
#Alhambra #MathGIF with @geogebra
8/n

I forgot these cute four-pointed stars in Clarissa's thread !
#Alhambra 9/n

https://twitter.com/c0mplexnumber/status/1180557650599256064?s=19

The curvy hexagonal stars on a pillar. #Alhambra 10/n

https://twitter.com/c0mplexnumber/status/1181664622190977027?s=19

I realize now that I made a mistake on the first picture of this thread. It should be this one. I think. 🤔
#Alhambra 11/n

https://twitter.com/c0mplexnumber/status/1182044596366462978?s=19

Let's see side by side...
Nope still not exactly the same pattern. There are so many that look alike 😬. Let's move on...
#Alhambra 12/n

Oh, but these are the same ! 🙇
#Alhambra 13/n

https://twitter.com/c0mplexnumber/status/1182044596366462978?s=19

For this one, I have no doubt. Selfie included. 😎
#Alhambra 14/n

https://twitter.com/c0mplexnumber/status/1182386738787999744?s=19

Here's a couple pics to show this tiling in its natural habitat.
#Alhambra 15/n

Ah ! The "little birds" !
They are in a little alcove over there in the corner.
#Alhambra 16/n

https://twitter.com/c0mplexnumber/status/1182773595208126465?s=19

This simple frieze is around a pillar just between the "little birds" and the coloured squares.

https://twitter.com/c0mplexnumber/status/1183114710234910721?s=19

Difficult to get a nice pic of this lovely tiling for it is behind plexiglass. The pattern is pretty complicated...
#Alhambra 18/n

https://twitter.com/c0mplexnumber/status/1183482639484936193?s=19

Pretty intricate pattern. Look at the border with those black & white Xmas trees as my daughter calls them. See how they make the corner ?⏬
#Alhambra 19/n

https://twitter.com/c0mplexnumber/status/1183482639484936193?s=19

A zoom on a perfect corner, and the third pic shows the only mistake I noticed. Actually my daughter noticed it.
#Alhambra 20/n

Oops I linked the wrong tweet... it's the next one. At least I posted Clarissa's artpiece for comparison. 😬

https://twitter.com/c0mplexnumber/status/1183816407764623361?s=19

Back at this #Alhambra thread...
This one and the next by @c0mplexnumber are two nice examples of p4g tilings. There's a whole wall with these "fleurs de lis" in black and white.
21/n

https://twitter.com/c0mplexnumber/status/1184194212817985536?s=19

@c0mplexnumber I discovered a new online applet by @philogb to draw tilings according to their wallpaper group. Here's what I get to reproduce quickly the previous #Alhambra tiling.
senchalabs.org/philogl/PhiloG…
22/n

These Ts are just shown on a small strip. Another p4g (ignoring the colors). Quite a complex construction Clarissa !
#Alhambra 23/n

https://twitter.com/c0mplexnumber/status/1184712693544112129?s=19

This tiling inspired me this "Teslation". I thought it was good pun...🙄
24/n

https://twitter.com/panlepan/status/1186166766529069056

I didn't see that one ! But I did spot this floor tiling using kites and squares. Remember this one @tessellationfan ? 😉
#Alhambra 25/n

https://twitter.com/c0mplexnumber/status/1184927638042882048?s=19

@tessellationfan We talked about this tiling with squares and kites in this thread. @Trianglemancsd mentioned that the kite tiling shown here could be seen as the one with squares&kites when collapsing the squares.

https://twitter.com/panlepan/status/1175698850901843968

26/n

@tessellationfan @Trianglemancsd I was very happy to see that this kites & squares tiling could be seen as two pythagorean tilings overlaid, so it was a cool discovery to see it in the @MuseoAlhambra a couple weeks later.

https://twitter.com/panlepan/status/1176509951533101058

Wiki : en.wikipedia.org/wiki/Pythagore…
27/n

Back to the #Alhambra...
I was pulled out of the throne room by my daughters but I managed to get a pic of these doggy bones. :)
28/n

https://twitter.com/c0mplexnumber/status/1185283097824256001?s=19

Here they are, on the pillar!
#Alhambra 29/n

https://twitter.com/c0mplexnumber/status/1185299295253209088?s=19

This simple design can be seen in different places with different colors for the hexagons. @PaulaKrieg might be interested.
GeoGebra animation coming soon...
#Alhambra 30/n

https://twitter.com/c0mplexnumber/status/1185661450058158080?s=19

@PaulaKrieg Here's how I see this tiling with a @geogebra animation.
#MathGif #Alhambra 31/n