Basic Examples (4)
Basic Examples
(4)
Here are the points on the first four legs of the spiral:
In[96]:=
Out[96]=
{0,0},-,,{-1,0},-,-,-,-,,-,,-,{1,0},,,0,,
1
2
3
2
3
2
3
2
1
2
3
2
1
2
3
2
3
2
3
2
1
2
3
2
3
,-1
2
3
3
2
———
This shows the sequence of points in order for the first six sides:
In[97]:=
Withs=[6],Graphics[{{Pink,PointSize[.03],Point[s]},Arrow@Partition[s,2,1]}]
Out[97]=
———
40 black sides with 20 red sides overlaid:
In[98]:=
GraphicsLine@[40],Red,Line@[20]
Out[98]=
———
The number of points in the first sides are one more than the triangular numbers:
n
In[67]:=
Length@@#&/@Range[0,10]
Out[67]=
{1,2,4,7,11,16,22,29,37,46,56}
In[68]:=
Table[1+1/2n(n+1),{n,0,10}]
Out[68]=
{1,2,4,7,11,16,22,29,37,46,56}
Neat Examples (2)
Neat Examples
(2)