Basic Examples (2)
Basic Examples
(2)
Using ϕ, or Fibonacci’s rabbit constant, convert points to the algebraic number field and build the Fermat triangle:
(ϕ)
In[7]:=
ϕ=GoldenRatio;points={{0,0},{0,1},{-Sqrt[ϕ],0}};Column[ϕ,points],Graphics[{EdgeForm[Black],Yellow,Polygon[points]}]
Out[9]=
{{{0,0},{0,0}},{{0,0},{1,0}},{{0,-1},{0,0}}} |
———
Using ψ, the supergolden ratio or Narayana’s cow constant, convert points to the algebraic number field and build the supergolden triangle:
(ψ)
In[26]:=
ψ=Root[-1-+&,1];points={0,0},,,{-ψ,0};Column[ψ,points],Graphics[{EdgeForm[Black],Yellow,Polygon[points]}]
2
#1
3
#1
1
2
3
2
Out[28]=
{{0,0,0},{0,0,0}}, 1 4 3 4 |
Convert back to the original points:
In[16]:=
1
4
3
4
Out[16]=
Properties and Relations (2)
Properties and Relations
(2)
Neat Examples (3)
Neat Examples
(3)