This function returns a data set of ten observations. Each observation is a triangle for one half of a rhombus. The location, direction, and shape of the rhombus is determined through the parameters.
return_starting_circle(point_x, point_y, rotation, side_length, shape)
| point_x | Starting x position for first point |
|---|---|
| point_y | Starting y position for first point |
| rotation | Rotation about the starting position in degrees |
| side_length | Length of one outside edge |
| shape | Ether "t" for thin rhombus or "T" for thick rhombus |
Data set of triangles that join to create a circle of rhombi
The center point of the circle is given by the point_x and
point_y parameters. This will appear in the data set as
point1_x and point1_y. The rotation in degrees will turn
the rhombi around this point while side_length will change the size.
Finally, shape will provide either a thick or thin rhombus. A "t" for
the shape parameter will yield a thin rhombus. Anything else will provide a
thick one, but traditionally a "T" is used. Thin triangles all point into the
circle (ten rhombi halfs) while thick triangles alternate pointing to each
other (five full rhombi).
return_starting_circle(0, 0, 0, 1, "T")#> triangle shape point1_x point1_y point2_x point2_y point3_x #> 1 1 T 0 0 0.809017 -5.877853e-01 1.618034 #> 2 2 T 0 0 0.809017 5.877853e-01 1.618034 #> 3 3 T 0 0 0.809017 5.877853e-01 0.500000 #> 4 4 T 0 0 -0.309017 9.510565e-01 0.500000 #> 5 5 T 0 0 -0.309017 9.510565e-01 -1.309017 #> 6 6 T 0 0 -1.000000 1.224647e-16 -1.309017 #> 7 7 T 0 0 -1.000000 1.224647e-16 -1.309017 #> 8 8 T 0 0 -0.309017 -9.510565e-01 -1.309017 #> 9 9 T 0 0 -0.309017 -9.510565e-01 0.500000 #> 10 10 T 0 0 0.809017 -5.877853e-01 0.500000 #> point3_y rhombus #> 1 0.0000000 1 #> 2 0.0000000 1 #> 3 1.5388418 2 #> 4 1.5388418 2 #> 5 0.9510565 3 #> 6 0.9510565 3 #> 7 -0.9510565 4 #> 8 -0.9510565 4 #> 9 -1.5388418 5 #> 10 -1.5388418 5return_starting_circle(5, 5, 180, 3, "t")#> triangle shape point1_x point1_y point2_x point2_y point3_x point3_y rhombus #> 1 1 t 2.146830 5.927051 5 5 2.146830 4.072949 1 #> 2 2 t 3.236644 2.572949 5 5 2.146830 4.072949 2 #> 3 3 t 3.236644 2.572949 5 5 5.000000 2.000000 3 #> 4 4 t 6.763356 2.572949 5 5 5.000000 2.000000 4 #> 5 5 t 6.763356 2.572949 5 5 7.853170 4.072949 5 #> 6 6 t 7.853170 5.927051 5 5 7.853170 4.072949 6 #> 7 7 t 7.853170 5.927051 5 5 6.763356 7.427051 7 #> 8 8 t 5.000000 8.000000 5 5 6.763356 7.427051 8 #> 9 9 t 5.000000 8.000000 5 5 3.236644 7.427051 9 #> 10 10 t 2.146830 5.927051 5 5 3.236644 7.427051 10