Question

Hey let's play this geometry game and compete for fun. http://www.euclidea.xyz/game

Answer 1

It's a pretty long game, so far I've got 36/39 on alpha, 30/38 on beta, and 16/30 on gamma. There are still like 10 level packs past this I haven't even unlocked yet so I'll probably be playing this game off and on for a while haha.

Feel free to post your scores or strategies or struggles with problems here. I can't even complete all the stars on the first level pack!

Answer 2

So far I'm trying to work on the first level pack and get all 39 stars, I can't seem to get the E star on the last level. Since that's the last star to get, I know there are 2 other hidden stars somewhere so I guess I'll look for the secret ones. Any hints or advice would be welcome on that last puzzle.

Answer 3

Woah I found both of the secrets, they're actually pretty easy to find once you know what to look for

Answer 4

Err, I'm stuck at the one in the center. Can't think of anything cleverer than the intersection of two perpendicular bisectors.

Answer 5

Ahh yeah ok I see. The perpendicular bisector tool is the same number of moves as if you just create two circles, then bisect it with a line. But if you actually construct this, instead of making 4 circles, you can reuse one of the circles.

Kinda annoying, but I'd rather have the perpendicular bisector tool rather than be forced to do the construction every time if it doesn't get me extra points.

Answer 6

Ok I think I see how this thing works now. The E count is literally how many times you use the Line or Circle tool, and each of the other tools is derived from these two tools only, so when you do the tutorial things to "derive" them, they inherit this as well.

BUT the L score is weird cause it just counts how many times you use a tool. So to minimize this score, it's better to use the most complicated tools you can. This is kinda like a different strategy altogether sometimes.

I dunno mostly I've just sorta been going through getting less than the best scores so now I'm trying to go back and see if I can up my scores cause I'm feeling patient right now haha

Answer 7

Weird. You said that I'd have to create three circles, right? That does 3L.

Answer 8

Yeah you have to do the puzzle multiple times to get all the scores sometimes

Answer 9

OHHH, I SEE WHAT YOU MEAN NOW.

Answer 10

@Kainui do you can help me please for the first 3 i have got these 3 stars but for the 4th i drawed the necessary coordinates 4E4L and dont give me the 3 stars - why ?
- hope you can understanding my english

Answer 11

@jhonyy9 Hmm weird I don't know, can you send a screen shot? I just repeated the puzzle and it worked.

I think this is a special puzzle where they introduce extra solutions. You can construct two equilateral triangles here for a 4th star if you keep playing

Answer 12

i have drawid it newly and i have got the right coordinates 4L4E and i push on the hand and dont giving me the 3 stars too

ok. i will try attach here a screenshot

Answer 13

yes you are right there it"s possibill constructing 4 equailateral triangles i see it now - but why not give me the 3 stars ?

Answer 14

you gotta look at the thing on the left there to make sure you make that thing, since the two equilateral triangles have to have one edge with that black line like this:

Answer 15

@Kainui this is posted please check it - thank you

Answer 16

This is not an equilateral triangle! It might look like one, but where you placed the center of the circle must be \(exactly\) right, you can't just guess some point above the line.

Answer 17

Again that crap with points. http://i.imgur.com/gSa8tOb.png

Answer 18

ok. i understand you but than why have wrote these coordinates on the left corner on the top exactly what i have got 4L4E - why ?

Answer 19

@ParthKohli this one you can get all 3 stars in one thing if you use the circle and perp. bisector.

Answer 20

before to the first 3 when i have got the right coordinates points i have got imediatly these 3 stars - so in this 4rth case why dont function in the same style ?

Answer 21

ah that was simple

Answer 22

was this one the level you were stuck on?

Answer 23

@jhonyy9 Just because you have the correct number of moves doesn't mean you did the correct moves.

I am still stuck on Inscribed Square, alpha pack level 7, the E star.

Answer 24

@Kainui i have realized it now and i have got these 6 stars
- so now there is possible continuing ? - hope yes

Answer 25

and thank you so much that you have posted this website here bc this is very very interesting

Answer 26

Yeah I agree! It's kinda like playing chess or something figuring out how to get the best score and thinking up strategies. It also feels like it's giving me a better understanding of geometry, like what's the difference between the point where the angle bisectors of a triangle intersect and where the perpendicular bisectors intersect? I don't really know haha

Answer 27

on the 6th i have got just one star why how can i getting the second and the 3rd star too ?

Answer 28

@Kainui what you think please about these perpend. bisect. why dont accept it right ?

Answer 29

It doesn't accept because you are guessing what the middle is. Here, this might help you understand: https://www.mathsisfun.com/geometry/construct-linebisect.html

Answer 30

thank you but i think i have got this first star drawing the midle segment in this way so the second and 3rd i dont know what is the way for them

Answer 31

games

Answer 32

Ty

Answer 33

ty

Answer 34

yw yw

Answer 35

thx

Answer 36

@jhonyy9 I love your English hahahaha <3

Answer 37

I got 39/39 on alpha is that good or bad???

Answer 38

got stuck on the circle center halp

Answer 39

I'm on it now

Answer 40

wait I have to solve it TWICE? omg

Answer 41

am on beta now

Answer 42

I think Parth had the same problem as you inky, also Mira how did you get the E star on the 7th level of alpha I can't get it lol

Answer 43

Haha that's an easy level it's not worth complaining about. Later levels though... :X

Answer 44

idk if I like geometry anymore

Answer 45

yeah this game is making me realize I am terrible at geometry. I feel like some of the stars are unobtainable, like I think I exhausted every possible combination of tools on some levels and couldn't make the score lol wtf

Answer 46

gg but weird

Answer 47

I can't get E on 7 lol

Answer 48

*1-7

Answer 49

@ganeshie8

Answer 50

I bet even ganeshie can get 39/39 on the first one, what yall talkin' bout??

Answer 51

I can get it down to 8, but not 7. That's the only thing keeping me back from 38/39 on alpha. Apparently Mira is 2 cool 4 us

Answer 52

mehh I should just commit sudoku

Answer 53

My score right now is 38/39 alpha, 36/38 beta, 24/30 gamma, 22/37 delta, and 16/36 epsilon.

Answer 54

is epslion that hard? :O

Answer 55

I haven't got to it yet, but will soon

Answer 56

Yeah it gets kinda hairy when you get to delta cause you have to construct square root 2 and square root 3 and stuff

Answer 57

square root 2 doesn't sound hard. what sounds hard is that last star on 1-7

Answer 58

actually what sounds hard is constructing a regular heptagon.

Answer 59

u won't m8

Answer 60

Haha yeah I am fine with not constructing heptagons, hexagons are pretty enough for me.

Answer 61

trisect a random angle then, scrublord

Answer 62

I bet mira can and you can't

Answer 63

lolol

Answer 64

http://prntscr.com/ak3pjv gg

Answer 65

You guys are already at epslion, and i'm just sitting here trying to pass the first level. X'D

Answer 66

lol idk what's going on that's weird.

@Ms-Brains I am pretty slow this is like me playing the game off and on for the past week or so

Answer 67

hey how to make this construction in Eucledea ?
http://www.mathopenref.com/constbisectline.html

Answer 68

circles

Answer 69

i want the compass tool to remember the previous setting

Answer 70

http://prntscr.com/ak3rhp

Answer 71

after drawing a circle at P, i want to draw another circle with the same radius

Answer 72

and it can't, that's part of euclid's standard rules

Answer 73

that makes no sense

Answer 74

the main secondary purpose of a compass is to compare distances in euclid geometry

Answer 75

27/30 on gamma so far... trying to get the rest 3 .-.

Answer 76

it does @ganeshie8 :
The compass can be opened arbitrarily wide, but (unlike some real compasses) it has no markings on it. Circles can only be drawn starting from two given points: the centre and a point on the circle. The compass may or may not collapse when it's not drawing a circle.
The straightedge is infinitely long, but it has no markings on it and has only one straight edge, unlike ordinary rulers. It can only be used to draw a line segment between two points or to extend an existing segment.
The modern compass generally does not collapse and several modern constructions use this feature. It would appear that the modern compass is a "more powerful" instrument than the ancient collapsing compass. However, by Proposition 2 of Book 1 of Euclid's Elements, no power is lost by using a collapsing compass. Although the proposition is correct, its proofs have a long and checkered history.[2]

Answer 77

The ones in gamma I don't have are: 2E, 5E, 7E, 8LE, and that leaves one secret unfound as well.

Answer 78

oh I got 2E and 5E

Answer 79

OMG WAIT YESSSS

Answer 80

collasping compass is a pain

Answer 81

ganeshie what did u get for the first one??

Answer 82

im still doing inscribed circle.. .

Answer 83

lololol

Answer 84

any quick hints ?

Answer 85

I cant bypass from 8LE god

Answer 86

it does @ganeshie8 :
The compass can be opened arbitrarily wide, but (unlike some real compasses) it has no markings on it. Circles can only be drawn starting from two given points: the centre and a point on the circle. The compass may or may not collapse when it's not drawing a circle.
The straightedge is infinitely long, but it has no markings on it and has only one straight edge, unlike ordinary rulers. It can only be used to draw a line segment between two points or to extend an existing segment.
The modern compass generally does not collapse and several modern constructions use this feature. It would appear that the modern compass is a "more powerful" instrument than the ancient collapsing compass. However, by Proposition 2 of Book 1 of Euclid's Elements, no power is lost by using a collapsing compass. Although the proposition is correct, its proofs have a long and checkered history.[2]

Answer 87

@ganeshie8 you can do two bisectors and then you have the center of the circle