New answers tagged geometry
2
Vyxal, 6 bytes
s²Ṙḣ∑=
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A very simple 6 byter. Can't think of any stack manipulation to get it to 5.
Outputs 1 for truthy, 0 for falsey.
Explained
s²Ṙḣ∑=
s² # sort and square the input
Ṙ # reverse the list so that it's in descending order
ḣ # push the head of that, and the rest of that to the stack
∑= # does the sum of the ...
1
Pari/GP, 73 bytes
Based on @loopy walt's Python answer.
a->7>#Set([a=if(i%2,matrix(#a,,i,j,a[i,(#a\2+i-j)%#a+1]),a~)|i<-[1..12]])
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Takes a matrix skewed to the left with zero padding.
5
Python 3.8 (pre-release), 137 bytes
g=lambda h:(*[".".join(r.split(".")[::-1])for r in h],)
f=lambda h,*S:len(S)<8>0<f(g(map("".join,zip(*(t:=h[::-1])))),h,g(t),*S)or h in S
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The function f takes in a tuple of strings representing a left-skewed hexagon. Returns True if the hexagon is symmetric, or False ...
8
Python NumPy, 92 bytes (@Neil)
def f(l,*o):
for a in[l>0]*6:l.T[::-1][a[::-1]]=l[a];o+=str(l),str(l.T)
return 7>len({*o})
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Pure (no NumPy) Python version, 111 bytes
lambda l:7>len({l:=((x:=~len(l)//2)and(*(k[(x:=x+1):]+k[:x]for k in i*l[::-1]),)or(*zip(*l),))for i in[0,1]*6})
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Old Python, 128 bytes
def f(*l):...
6
Charcoal, 61 58 bytes
ＷＳ⊞υ⪪ι¹≔⟦⟧θＦ⁶Ｆ²«⊞θ⭆υ⪫λωＵＭυ⎇κ⮌λＥ✂υ⁺⊘Ｌυμ±⁻⊘⊕׳Ｌυμ±¹⊟ν»⊙θ⊖№θι
Try it online! Link is to verbose version of code. Takes input as newline-terminated ASCII art but without any spaces and outputs a Charcoal boolean, i.e. - for symmetric, nothing if not. Explanation:
ＷＳ⊞υ⪪ι¹
Input the list of rows.
≔⟦⟧θ
Start building up the list of rows and ...
1
Husk, 6 bytes
√Σzo□-
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Explanation
√Σzo□-
z zip input arguments
o with composed function
- difference
□ squared
Σ sum
√ sqrt
0
Factor + math.distances, 18 bytes
euclidian-distance
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Built-in.
1
Desmos, 26 bytes
f(a,b)=total((a-b)^2)^{.5}
The function \$f(a,b)\$ takes in two lists, \$a\$ and \$b\$, representing the two points, and returns the distance between them.
I think the code is pretty self explanatory, even for someone unfamiliar with Desmos.
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