I think "points" refers to how the value of each **pixel** is determined and coloured (by the formula and colouring respectively). If that is correct then I think the answer to your question is no.

If by "shapes" you mean a set of similar shapes that iterate in a fractally generated manner (i.e. different size copies as generated by the formula being used) then you probably need one of the many "orbit trap" style of colourings. Look up "Orbit Traps" in the Help file for more info.

Here is a very simple example of an "Astroid" (star-like/cross) trap shape made with a **Julia** formula and** Orbit Traps (UF3)** colouring. The iterations (copies) vary in size and are arranged in a regular and orderly fashion as dictated by the Julia formula. The stars themselves are created by the colouring:

Many different trap shapes are possible. Most of these orbit trap style of formulas offer a choice of set shapes that you can further distort/manipulate through various functions and parameter settings. More advanced techniques can involve devising more unusual multi-trap shapes through the use of plugins.

I'm not sure if this answers your question.

Params for the above so you can look at the construction... look at the **Trap Shape** colouring parameters to see how the "shapes" can be changed:

```
Fractal2 {
::vpiE7hn2Ni5yutuNQY49BIvDCeVLO94INjlv0CuI5A0FFooLa3XwIRLzGdrk0JH3n+OUyymy
iUOel1P5Mkcmhzng2r4ZGe5P/4DRRGppUwW8r9SwioPk5mDsdJbiOIkFHMs1JJRl8TClmlYt
ITJylGNbx3OokajsW81nrrj+dui+/vkAPhxPBxJbX84Ddm1tMZ8Wjspmt4Fe2bFqmj15Liaa
5ZSzJWSccUlwcoJnVds0Ib5a9jPUxbbl1F9mLqNCFLe520VrSBIdH+0XjXib3gpw6tpYaUFv
omBL3sKe1OcTEvugOXAscNsezjPsvRRum35sK+3lWvlSLbrQldQk9GrZ/+o9ySRNviCH/phX
nzV5LPuvaREt4qTsF/2xSJfh1Dt/tWIyZ0OY3utbhniXuZ9akkbb+gcMJQ
4DyatMX0HyV8a9eae1N1iIdTpMntC2sFSShdxP+AZ005WSxZuKSJaFcDZ5F72ueDA4WwZ3nX
9P4yjZld71zber2X/D1rSzfp4t6F0GU8d60bqayFsX5aZGJZsj9Olqt5KMOu/waVNnaFssyG
tQbOLl1U2oY5UNAvOT4Ku/lKtwwWYFieexVvMMa3iWT5EepdkDKh+QTZOlghUb01e26dfdzV
r5ll2EH3WJR1f0jRXfexw23QFikjiP/cXqOhe+qf0vJb7kusrOWT5pzPl8RXd/+j1ZsnvaE4
I/yZN0R7bn1qEqCqsFYLqk1/wz/0L/oz5fYQ+rabOckImwe+GFg9lJ2i4llfQZF7L3oky+2V
DT0H4UyjrNqGZ+goooQLa59RPWylghdAqWTrpYYqjTObefFON0loF/dRlUpaU6uCaHTKUy8u
MdukX0U3nrtDsXJ+3ji6sTJuLMvqlyvHzFdqO+p9AXTiXTYXdA41BALeqDAXH0Kouda2qrKG
bms7cvaktHord0J3wWledydia5/JcX+ex3EfQ3cG5CuuVkZcnKFQoGeC1oD1g4t7eZNdj0Q3
Wpob9I30PC16yebL+prhHOF0H7Erk/J2lh45XKMG61+kr59iVNvLcKcTyVy9j8nNONedJFtR
06eO7CR388wcctsrVn2yIqLcnf/Ae3m9D13731COFbLdcl7Jrp26KlMz3S1Zo/lqboug3b8S
hMvRn10KumM7bLeTDcHHMMjWq5XG5hx1HnHrRbuMojt2LaFDTyJhQtWJGwrliR9NtyH1Cu2a
RjyM2gzi2eomTkl9HsxW7OHlougeDBnd7oJcJ4HyDXjm3u9oiQhayOvTdSE6yAGehgJrqoXK
hbElnGbcf4nANMFdFk2b0LBocG/6Vix25b9eVy1jaCRbhL3svZPfbF4gmlG5pWfYFPPU6tm1
pjbG5vG68YvOij9z5XBZ0U1lUl5kAbnqDDg2SxxJ3Oh+jCG7xWRp49eTxJrmnqWonD12IrHe
FCIEFCuQhG1NGuhCte0vNXQ1BZSQImE4lJBhYSwEmE4lJBOMJPOwlJBTYSQAmE4jJB+YSQIm
EMhJB+YSQAmEEkJBBYSwUmE4lJBeYSgSQNIomhyuyE3CZYS7EwLrCuwqcs9Muy5xbYVwAryt
K2BXdd/5nVBhZVgfWFMDrCmjVBhZVw8sK4usKYGWFcHWFEgVB+ZVQQWF8JYVjnz7clsbR35e
NNENLkXmkhCQz8cGGAaO6jpZjtxPQzZCepZj9hn7TTpZgDN7mtwk2CeoZw80MIANDCRzA/0M
wDND8Szg7Rzgw0MYGaGMDNDnSzwQ0M0PND/U0MMMNDDRzQv0MMENDnQzQv0MMENDnQzwJ0MM
AND9RzQf0MMENDnU2i+oZYAaGGkmhBoZ4UaG6lmheoZYYaGOhmhepZoHaGOmmhTpZ4UaG6hm
hhoZYYaG6nmhzQzw5oZYYaGOPNDvLNDnhmh3hmhBoZofaGGkmhfCaGeXaG+JoZ4s0M8u0MMA
NDnhmh3jmh3nmh+oZoHaG6lmh+oZoHaGOPNDDQzwQ0M0PND9QzQv0M8e0MMMNDnhmheoZF2a
OKp39xmpLKvJyZnE6IdVTDVIZ/rsOX8dWcU/3jNZ9mNbgk0zy4udnHw+hr7/e+d+yjDG+c/Q
qr1OqP+w/HBB4xE=
}
```

I think "points" refers to how the value of each **pixel** is determined and coloured (by the formula and colouring respectively). If that is correct then I think the answer to your question is no.
If by "shapes" you mean a set of similar shapes that iterate in a fractally generated manner (i.e. different size copies as generated by the formula being used) then you probably need one of the many "orbit trap" style of colourings. Look up "Orbit Traps" in the Help file for more info.
Here is a very simple example of an "Astroid" (star-like/cross) trap shape made with a **Julia** formula and** Orbit Traps (UF3)** colouring. The iterations (copies) vary in size and are arranged in a regular and orderly fashion as dictated by the Julia formula. The stars themselves are created by the colouring:
![5c28da7ea8677.png](serve/attachment&path=5c28da7ea8677.png)
Many different trap shapes are possible. Most of these orbit trap style of formulas offer a choice of set shapes that you can further distort/manipulate through various functions and parameter settings. More advanced techniques can involve devising more unusual multi-trap shapes through the use of plugins.
I'm not sure if this answers your question.
Params for the above so you can look at the construction... look at the **Trap Shape** colouring parameters to see how the "shapes" can be changed:
````
Fractal2 {
::vpiE7hn2Ni5yutuNQY49BIvDCeVLO94INjlv0CuI5A0FFooLa3XwIRLzGdrk0JH3n+OUyymy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}
````

Chris Martin

Gallery: Velvet--Glove.deviantart.com

Currently using UF6.05 on Windows 11 Professional 64-bit