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Here 5 explains why 5 prefers 5!
1:
5 is mainly in contrast with 4, that is to say the rectangle, or the square. Nearly all the shapes you encounter in RL or in SL are rectangular or combinations of rectangles. This has a reason: these shapes fit easily together. 99% of beds, books, rooms, houses, buildings, windows, paintings.
Only some shapes, because of aerodynamics or movement through the water have very complicated elongated shapes, like airplanes, ships, propellers. But in the end the dominance of the rectangular becomes repetitive. Worse still, is the fact that this combining easily together is in 
sharp contrast with the human. Humans don’t fit easily together. But that is what humans try nonetheless all the time. To work together, to live together, to go on holiday together. And then they are always surprised that it either is very difficult, or impossible to stay together. Why are they surprised? Is this because they are used to seeing all kinds of things combine easily, the rectangulars?
2:
So 5 looked for others shapes, and in particular a shape which isn’t too repetitive, so triangles, and hexagons were also banned, being able to fill the plane without holes. Beehives of course are hexagonal. Above hexagons the shapes with 7 9 or 11 and more sides quickly become very circular, or too close to a circle to be discernable. The pentagon has a very recognizable shape, very different from the square. And look at combinations of pentagons! Always different, leaving holes open, and all different combinations quickly show there own “character”.
3:
So geometry, this very logical branch of mathematics displays something strange: it already has something irregular in it’s logic. That’s interesting! The pentagon as a shape is extremely regular, and combinations of this shape are irregular. Isn’t this a bit like the human being? Following laws but also breaching them. Repetitive and creative. The human being must be like that, it is the mark bench of survival.
4:
Flowers are 70% of the time having 5 petals. Why is that? Well, there is no real why of course, but if starting from a center (the stem) and having to cover the plane, a very convenient way seems to be to split up in 5. But you see nature being very explorative and not obeying one strict law: flowers are coming in 3, 4, 5, 6, 7, double 5, triple 5, and even more complicated shapes like the flowers of orchids. Since we are surrounded by flowers, nobody can say that the pentagon is not known in nature! (Not to mention our hands, the five senses etc.)
5:
If you take a pentagon, and fit another to it, rotating it to have a common side, and repeat this process around a common axis, you get a spiral of pentagons with a nice property: is displays a sort of false perspective on cubes! Of course the pentagon cannot be seen isolated from the square and the hexagon; the five sided shape is just part of the enormous amount of possibilities. After having seen these ‘false’ cubes coming out of pentagons, 5 discovered the so called Penrose tiling. Penrose, a scientist, also played around with pentagons and discovered the false pentagons being able to cover the plane in a not repetitive way. The football is a combination of pentagons and hexagons, by the way?
Funny is that space is normally quite “square”, (called a vector space, after going 10 meters left and 10 meters to the right, you end up on the same spot as after 10 meters right and 10 to the left), but in the thoughts of Einstein, space became, “more than square”, that is to say, he needed a space being able to depart from this squareness, or needing a fifth side to connect left-right with right-left. So although for us small human beings square space is sufficient, the universe needs “more”.
Conclusion: the pentagon is a very interesting shape, being able to demonstrate what we need as human beings: very individual combinations and a lot of open air (the holes between the pentagons when combined) between us, to be able to establish a healthy and creative relation with other human beings!
In the DevShed can be found 3 simple ways to construct a pentagon in SL, (there must be 5!)
There are much more connections to the 5, like the golden ratio, Fibonacci, but well, you can find that yourself!
5 went for a small search on astronomy. Astronomy is about universe, planets, stars, galaxies, space, and the big bang, for instance. Without doubt much more.
Astronomy as a science is observations and theory, like physics, chemistry, biology etc. Theory always checked by observations, although there is a small knowledge loop involved: theory shaping what can be observed. The history of astronomy on the other hand, for the science unimportant, shows the magnificent struggle of human beings to become able to observe without being dictated what to see by others, kings, dictators, popes, religion, old writings,. The Babylonian priests observed eclipses, right to Ptolemy (around 150) observations were made freely with the naked eye, then the Almagest of Ptolemy somehow became a sacred book, and “real observations”, without prejudice, stopped. Until Galileo, who made himself a telescope using the principle of Huygens, observations were curved back to those of Ptolemy, heavily supported by the church and leaning on Aristotle.
So it took a while to put the sun in the centre of the planetary system. It took another 
while to place the sun in the outskirts of our galaxy and our galaxy somewhere in a big framework of a curved universe. Hubble of course “identified” the first galaxies as such in the 19th century, the universe was shaped by Einstein, his general theory of relativity the 1920ties , and the shape of our own galaxy after the second world war, with radio astronomy.
Well, what can 5 find back of this in Second Life?
First 5 visited
Jenika's Astronomy Park of Jenika Connolly
Which is a nice start. Jenika presents telescopes, which offer images of the wonders of the universe. The images are shown when using the "sit" for the telescope in a central circle. But don’t think buying a telescope in real life will show you these very intriguing pictures. With telescopes “for the amateur” one can observe very interesting things like the moon, the planets and groups of stars, maybe even the Andromeda nebula (the nearest galaxy), but never the images of the Hubble telescope. Jenika also makes eyes and paintings!
Then 5 found an extended exposition explaining about observations and astronomy in:
Physics and Astronomy
Very nice equipment is shown and a very joking picture of an astronomer not being able to observe through his small telescope because of pollution in the air….
This is a bit what you can find in public observatories with movies about the universe and domes where they project stars on. It is the presentation of science, an introduction to all kinds of aspects. A bit about instruments, o bit about observations, stars, galaxies. All very neat and objective. You can get a list here of other Science-Related places in Second Life, like eco-systems, marine and biology exhibitions etc.
The third place is called Prospero's Astronomy Gallery
This is a private sort of gallery, explaining a few things like the birth of stars and planetary systems.
Also a very nice transparent map of the stars in the sky is presented which can rotate around a central earth. (Oops, 'central' have we returned again to Ptolemy? Well, no, th earth is just the place from where we see the stars around us. So to observe and find these stars, this position is the best.)
So the main focus on the moment is on the tools, telescopes, and the explanations. Of course theories like modern relativity are a bit beyond the reach of the general public, and Second Life of course is the general public.
The Carl Sagan Pavilion in the sim of the Illusion Factory is more a tribute to the astronomer, Carl Sagan. He was involved in programs to discover radio messages from extraterrestrial life in the 60ties. He supported a steady state universe. Certainly somebody who tried to think along other lines than the main stream astronomer.
How do you find things in SL?
Objects, places to visit, people?
It is a 3D world, without a clear one dimensional classification on for instance length or on alphabet.
Words are not what is present.
Never the word was more different from it’s content then in SL.
Keywords are added to everything to attract.
So if something is “not free”- free is in the keywords. Smart? Well the search engine is a blessing, even with the system of false keywords (“no sex”….lol).
There is chance. You are directed, send on a way, follow a path, the oracle is always right, you will find something. So looking for a telephone 5 found nice Victorian instruments and a very amusing brewery. Looking for art, 5 landed in a museum of teacups, still under construction, but very intriguing.
Another link brought 5 to a french rural church, a chapelle, all painted within, which exists in reality
Finding things turns out to be very simple. One word or a simple question from a friend can release a complex query through SL. And looking at things from the perspective of this question the world looks different. Evolution, ecosystem, museum, art, science, laboratory. The search engine won’t bring you the answer or the sim you were looking for, but it will function as an oracle. Bringing better or even more than the answer.
People complain that all is the same in SL. Well only if you don’t have ideas yourself. All you can think of, indeed more, is there, but you have to be able to excavate it from the unordered 3D world. Not only not logically ordered, also in constant reordering.
So you have to be fast, because all is changing, or is being changed, at the same time. Being there in Second Life means changing. Some very nice sims can disappear in a second at the whim of the owner, having changed her mind.
So make snapshots, or and- even better, movies. Avatars change all the time, the sims are rearranged, the ideas trasformed. In SL even more than in the head of the most creative person, ideas are combined and fall apart. Ever shifting worlds.
You can help this process.
Walk around, make notes of interesting things, put these into your profile, you will meet people, look at their ideas, they look at yours, and you have soon other strange places to visit. Talking is more than chatting, you have to inspect the persons you meet, always new aspects to explore. There is more than you ever can imagine!
Is that you? People say to 5 in Second Life? No that is not me. Yes indeed, this is not me.
Who am I?
Let’s us look at the others, who are they?
5 meets all kinds of…..people.
Rabbits playing drums in the desert.
Soldiers parachuting from the sky in the developers hangout.
Pirates admiring an exhibition about Rotterdam.
A pirate, who speaks English, but his girlfriend pirate only speaks French. Or an Indian who speaks German, while his squaw uses the Babbler-translator? Is somebody a soldier because she is dressed like it? Is somebody a lady because he has just sparsely covered long legs?
What is this clothing anyway, and indeed, what is it covering? Does it matter?
Yesterday 5 was offered a ride on a horse, well the horse was an avatar. The person was a horse. During the ride, with the horse in command, 5 wondered - what (who) is riding who (what) to where?
Do you want to be a horse too? She asked. You can buy me.
Not yet! I’ll give it to you. What does she offer?
Herself, herself as a horse, or just the horse, or an idea?
What is a horse, by the way, in SL?
A Horse can poop, can stoop, you can change the saddle, gallop, even backwards. Luckily it doesn’t attract flies.
Flies are absent in SL. Too many prims for too small a shape. No midgets, no flies, no ticks, wonderful world. If you are an insect, ou are not allowed in. Strange ecosystem without insects!
But you can become a dragon, a cowboy, a cartoon hero, superman, a horse, maybe even slimy things.
No, slimy is too blobby, blobby is too difficult, slimy things are forbidden.
So is that you 5? You’ll never know. One thing is clear, there is a difference between the newbies and the older generations. They even spot it themselves immediately. Whatever you are, a soldier coming down in the sim, and changing immediately in a general, a small rabbit playing a noisy potpourri and having a lot of fun, not riding the horse but being a horse, even appearing in an abstract shape, running around as a very serious Indian, changing into an alien…..we have adapted to this world, whatever we are. We welcome the other shapes, we know we don’t know who we are, and this becomes the reason of our existence.
This not knowing who we are makes us open for everything and everyone. You just see what happens. Actually we are stripped of prejudice about who we are, about gender, age, education.
Maybe we are more nacked then ever, being without illusions about the other. More nacked and more armed too.
Maybe we speak a few languages, but we encounter dozens more. Maybe we have read a few books, but we talk with people who have read totally different libraries. We have a few ideas, but miraculously ideas appear everywhere all the time. All caused by “is that you” ‘s. A horse can program, a rabbit knows the Illias by heart, batman gives citations from the Mahabharata.
5 would like to be a flower. Must be possible, 5 prim petals would do the job.
SS Galaxy - Queen of the Sagittarian Sea
Wandering in search of a newspaper 5 landed in a cruise ship! Looking at the map with CTRL M, it turns out that this cruise ship consists of 3 whole sims!
Always new wonders to admire in SL!
The perspectives on the deck are really awesome, because of the stretch of this 3 sim construction.
In the lounge, and indeed everywhere else maps of the ship are displayed, which is good because you tend to loose your way, it’s all sooo big!
Swimming pool, sunbathing, ballroom, everything is there, also lots of paintings. Hmmm, well, always the problem what to ask for this kind of art, is it a real painting, which makes it beyond all pricing, or is it just a picture of a painting, uploaded for 10 L$, and duplicated at infinitum?
Of course, of course, a casino, I bet it isn’t the only one in SL! Slotmachines too, tens, twenty thirty, yes yes, we know the breeding of slotmachines is a matter of a millisecond. Lol!
On the deck a huge dome can be seen, being the Galaxy’s ballroom. Nice structure, consisting of rows and rows of prim windows! A bit a calculation to get these windows right…
Good, very nice, for the events on the Galaxy, the ship provides free evening wear. Blue is the main color. Indeed other free assets, such as a tuxedo can be bought, also for 0 L$!
In the middle of the casino there is a horse track, for the betting, will it function?
Shops of course are to be found here, prim hair for instance, since the ship is a mall too. Sometimes the shops are a bit difficult to enter, because the extend two decks, and you have to cross two sims to get to the stairs between the decks and getting back, or would there be a faster way?
This ship makes one wander: what kind of structures could be thought of, to stretch a few sims, and at the same time retain a kind of unity.
Landscape of course, architecture, palaces.
But isn’t this idea great, not to build a landscape first and then put your things on it, but right from the start construct a world in the form of a gigantic ship. Indeed a ship like this IS a world. Some of 5’s friends spend all his time on two sims, rarely leaving this space, 5 could imagine there are people living on the Galaxy all there SL life!
Maybe ships, these cruise ships, are the largest moving structures in RL. Of course architecture on land is always bigger, but it doesn’t move. Ok, in SL this ship won’t move either. In that sense it is comparable to the stone ship in the summer palace in Bejing. Only the size!
After a day of wrestling with sculpties Five happened to come across a hidden landmark in the inventory. It was there for a long time. Often Five wanders around, marking interesting ideas and places for later use. Somehow these half forgotten landmarks can always develop into an interesting tour, providing new clues and adventures.
This time it was a link to a place of meditation. This search for meditation was started by an accidental encounter with a small quiet place in the neighbourhood of a Japanese disco. Interesting, this mingling of noise and being silent. Typically Japanese if you ask Five.
So the first place to visit was:
Buddhist Shrine of Varosha on the Crazy Devil Sim
Strange name of a sim, with this Buddhist shrine, don’t you think?
Eastern paradoxes I suppose!
What was very nice here and also in most of the other meditation places was the carefully arranges sounds. The sounds are all around and provide a very relaxed atmosphere. This is reinforced by the gardens, the trees and the water. In at least two of these places you could wash your hands. Washing your hands in SL? Very nice? And it really makes you feel “clean”, or relaxed. Very interesting.
Five bought a meditation rug, which comes with a candle and a mantra sound for only 1 L$. Only the “meditation” on the rug, indicated in the llSetText-terrible way, says : mediation, which is actually not too bad……
There are a lot of garden in SL. What makes the difference in this case? Five is not the religious type, neither is Five a New Age addict. In these gardens something is found similar to the feelings created by Arab gardens, an essence of persistent self search, meditation of life, an idea of retreat from the world. Hm Five gets soft!
Aegif's Buddhist stupas in Manitoba 2560 Tibetan style stupas
Is more Tibetan as the name says, it is also situated in the middle of buildings , homes and offices, is this a pity? Not at all, if you know how the temples in the East are nearly always in the middle of busy city area’s. Just to best place to be able to meditate!
Still smaller was
Meditation place
But with a very nice view on a bay! This place even has sponsors who finance it! Great!
Well, if you type in “meditation” or “Buddha”, in the search engine of Second Life, you get quite a list of places to visit. Of course not all are of the highest quality, and the meditation sit is quite often exactly the same animation. Which is a bit boring after visiting a few places. But ok, are you supposed to make a monastery tour? (Please, is there a monk around wanting to make a few variations of this one animation?)
Five wondered about these places. It is quiet, it is a heaven a peace, certainly after wrestling with sculpties, Linden Script, making complicated things, shopping, writing about clothes….
Why are these places never mentioned, when journalists write about Second Life. Why always the most negative things? But maybe it has to be like this. Let these places be hidden. The hidden is eternal, just as eternity is hidden.
In need of some fine sculpties Five continued practicing BLENDER. Somehow everything went wrong. The basics have become familiar after quite a bit of exercise. Then by some reasons explained later the shapes were always coming out wrong. Well every time this painful proces of slowing down progress happens something can be learned.
:-( ?oh no -> :-)
This is true for real and virtual life. It is the same fun every time.
You want to finish a job, something goes wrong and won't be mastered fast. First you get mad, calling yourself names, (who else is to blame), then you start realizing that the failure points at something interesting, slowly the energy is rebuilding and the mind gets intrigued.
This process of wanting to finish something quickly, getting frustrated, wanting to throw everything away, starting to understand that the real thing doesn’t want to reveal itself too easy, getting interested again, and understanding some important details of the process, is repeating itself again and again. Lots of things to learn in Second Life, even more than in real life, if you ask Five.
What was going on?
After a day of making bodies, torsos really, and the textures on them, images of dresses, old dresses from the 1920ties, the results were … well not quite good, but ok, for the moment…..
The next day Five tried a teapot. The teapot could be made with ROKURO, being a simple shape of rotation. (The handle being another prim of course.) But to practice Five choose BLENDER. Everything went fine, melding spheres together, making the UV mapping, but then uploading the image brought disaster. The image was a total mess and inside out. What was happening? Too much to be true.
First of all, the UV image was rotated by 90 degrees, because the shape was kind of lying on its side. BLENDER doen't mind, but Second Life does!!!
When Five realized this, Five turned the image in Photoshop. But then the shape still was inside out! Ok it had to be mirrored over in the vertical axis, and then the UV image was producing the right sculpty.
Well, Five had to understand more of the sculpties and maybe a previewer would be nice? Because Five spent quite a lot of money on uploading the wrong UV images…..
So another quest on the web brought these interesting links:
First of all, how does it function, this UV mapping: http://wiki.secondlife.com/wiki/Sculpted_Prims:_Technical_Explanation
And then some interesting software:
http://wiki.secondlife.com/wiki/Sculpted_Prims:_Resident-made_Tools
Five tried:
Cel_Sculptpreview
TOKOROTEN(extruder)Sculpted Prim Maker, of Yuzuru Jewell
(The same person who made ROKURO)
(easy for cut-out shapes, like stamps)
And then Math Sculptor 1.0, for a few special shapes. You are invited to write your own addinns, but well.......
These progs are all helping, but also displaying the problems of sculpties: the definition of the shapes is poor. Some exceptions are the very sharp definitions of geometric shapes, which seem to be possible, but Five hasn’t yet found out how (pentagons, dodecahedrons etc).
Getting on with the teapot, very annoyed, Five used the smooth tool in the sculpt mode of BLENDER on the teapot. Very nice this sculpt mode by the way, unbelievably easy and great fun! And Five got the shape of an arm within seconds, a bit of refinement and finished! (The thumb becoming an extra prim.) Strange! Only this is the right arm, the left has to be made all over again, or is there a function in BLENDER to mirror a 3D shape in its “other” mirror shape, a kind of 4D transformation…..LOL?
The wrong images of the arms, with the resulting sculpties can be found in the DevShed, a developers hang-out in Second Life.
Five went in search for gothic clothes.
What is gothic, well……a rich mix of punk, fairy tails, fantasy, a bit of revolution, not too nice, certainly not civilized, but with lots of “style”. It looks like Victorian sometimes.
Gothic is total fashion comprising hair, make-up, hat, shoulders, large coats, big boots.
Colours, mostly black and a bit of red, or very bright.
Clothes are individual, you are supposed to work on the clothes yourself to make them unique.
You have to have courage the wear them!
Most classifieds or advertisements of shops selling clothes include gothic in their keywords, but most of them don’t have a really gothic line of garments.
The real gothic shops have a tendency to create a gothic atmosphere around them. That is to say a desolate landscape, garbage, fences, ghetto like buildings. It becomes an interesting mix of things to buy and surprise, mystery. This mix is very understandable, gothic is a state of mind, more than just nice clothing. These places are best visited by night!
Well this is the interesting thing for Five! Five likes this kind of themes, see former blogs! And the kind of against the fashionable, "nice" fashion side of gothic is also not far from Five's taste!
So let us go then you and I!
Five dived into the search engine, and a few of the best gothic fashion places are described, always including the surroundings of course!
Schlachthaus auf apfelland Ghetto
Very nice theme sim. Built around an abbatoire (in german Schlachthaus)
Garbage dump, with opening and closing doors.
The most original camping chairs ever seen: urinals in the toilets for man. Discrimination: toilest for women pay only half the amount of the urinals of man!
Goth1c0 - the big shop: goth,punk and cyberpunk clothes & hairs
This shop is situated in small theme region. Between two shops, there is snow and garbage containers, in which you can chill! Snow is blocking doors, you have to search your way in.
Really gothic style clothing, as far as Five understands gothic: lots of rich blacks, with here and there reds. Nice details, and really lots of top hats.
Hm, Five has never seen these clothes in freebies, for these: you have to pay!
~ silent sparrow ~ come explore! (gothic : victorian : eclectic)
The clothes are “nice” version of gothic if compared with the Icewater shop. Very rich details. Hm as with the last shop, you have to save a bit of money to get these clothes, but they are probably worth it. The shop is situated in a big Victorian mansion (greenery included) and there is a small village in Victorian style in the neighbourhood.
The cellars are really creepy, embalming sets? Gas masks? You can even enter the sewers again! You will end up in other Victorian houses!
Ok you cannot write about clothes and not buying, so Five bought The checkmate Loli boy, with darkdelion make-up. Broke again!
Five March was falling asleep too often, while working on a job.
This is the problem of AFK, the being away from the K-C-omputer.
The person onscreen, without intervention of the other person behind the screen, becomes a sort of zombie, which is rather painful to see.
:-(
Five had to find the shortcut for not becoming a zombie!
So to use another shortcut:LOL…laughing out loud.
In the beginning of second life Five March found the shortcut to put off the falling asleep without any trouble. But new updates always change the settings of the menu of Second Life somehow. How was it done?
It was to be found somewhere in the Server and Client menu, normally hidden from view…
How to add these menu-items? Search engines didn't return too much information.
As with the EMOTER, it was apparently too easy to write about!
At last in a French site this first shortcut was found: CTRL ALT SHIFT D (what a combination)
Then two items are added in the menu, then:
Client
Character
Character Test
Then:
AFK / Go away when idle, must be unchecked, to avoid the zombie-mode.
(Wasn’t this simple?)
Trying to find the combination Five tried also CTRL 8 and CTRL 0, these combination change the perspective of the camera...it is shown in the menu under VIEW, but somehow Five never used these possibilities. CTRL 9 restores the most normal setting of the perspective.
For images the extreme wide-angle perspective is rather funny, and sometimes even useful, although the rendering becomes extremely slow.
The wheel on the mouse serves also as “zoom”, which is very useful in small spaces.
What a lot of people don’t know is the control of the light: CTRL SHIFT Y for: midday, for instance, other possibilities without shortcuts are situated at under the Menu WORLD, Force Sun, and then a list: Midday, midnight, and daybreak….
Very often Five, as a blog reporter, takes pictures, snapshots, CTRL ~ is the shortcut for this. These pictures appear in .bmp format which eats rather a lot of memory space, to Five uses a free programm: Easy Thumbnails to put the format in JPG.
Very good in building is the possibility to make copies from a selected object by selecting it and then dragging it away while pressing the SHIFT button, it stays on the same axes as you are dragging it!
Ok
LOL
Have Fun!
Five March was shopping with a friend, looking as always for bargains. Exploring a Japanese sim Five bought a jacket for nearly nothing. The idea of this jacket was fine, but ok: it was just a first try, because the sides didn’t fit together on the body.
Five looked around, steering the camera along all sorts of things.
Five is always looking for things and suddenly something dearly needed was presented. A grin, a smile!
The faces in Second Life are very very dull. Faces normally don’t show anything. But making a snapshot, you can see that for a moment, the avatar says “cheese”. So it should be possible to change the expression of the face.
So this HUD facilitating facial expressions came as a surprise.
In fact all kinds of facial expressions nicely assembled in a HUD.
And the price was a bargain: all emotions for 15 L$!
It is very funny to zoom in with the camera and look at the different expressions. This emoter, “Smile” as these HUD’s are called, was made by: yaman Oh.
Five searched for other emoters. There is one in the “swiss-knife” HUD of
MystiTools.
This HUD is incredibly multifunctional. All kinds of things, normally done in single HUD’s are here put together. And this one has a free version! The expressions are much the same as the “Smile” HUD.
Searching further Five came across another emoter from EB Creations, costing 1 L$.
This EB creations emoter reacts to chat commands, and has no visible HUD on the screen.
After using these emoters and comparing, Five really wanted to know how to make them.
Nothing much can be found about them. Strange!
First of all you see that all the facial expressions are the same, really. So it seems to be just a command, coming from Second Life presets.
Ok that reflection gave the clue: in fact showing facial expressions is one of the easiest things to do really. The expressions are standard animations in Second life.
So all you have to do is to “wear” a scripted object. In the object ask a permission to animate your avatar, and play the animation from the list, found for instance here:
http://slhomepage.com/lsl/animation.htm
so:
touch_start(integer total_number)
{
llRequestPermissions(llDetectedKey(0), PERMISSION_TRIGGER_ANIMATION);
llStartAnimation("express_open_mouth");
}
already works….
Ok, Five learned another lesson: if something seemed to be undocumented, or is apparently hided in mystery, nobody talking much about it, oh well, then maybe it is even too easy to mention it! Grin!
sharp contrast with the human. Humans don’t fit easily together. But that is what humans try nonetheless all the time. To work together, to live together, to go on holiday together. And then they are always surprised that it either is very difficult, or impossible to stay together. Why are they surprised? Is this because they are used to seeing all kinds of things combine easily, the rectangulars?
So geometry, this very logical branch of mathematics displays something strange: it already has something irregular in it’s logic. That’s interesting! The pentagon as a shape is extremely regular, and combinations of this shape are irregular. Isn’t this a bit like the human being? Following laws but also breaching them. Repetitive and creative. The human being must be like that, it is the mark bench of survival.
5:
Funny is that space is normally quite “square”, (called a vector space, after going 10 meters left and 10 meters to the right, you end up on the same spot as after 10 meters right and 10 to the left), but in the thoughts of Einstein, space became, “more than square”, that is to say, he needed a space being able to depart from this squareness, or needing a fifth side to connect left-right with right-left. So although for us small human beings square space is sufficient, the universe needs “more”.
