# Increasing vs Decreasing Interval and Transformation

Hi
i’m creating a box with random intervals and whenever i have a DECREASING Interval my translation doesn’t work properly. I guess i am missing a piece of information about transformations etc. can anybody help?
Thanks!

``````import Rhino as rh
import rhinoscriptsyntax as rs
import math
import random
import string

_bPoint = rh.Geometry.Point3d(0,0,0);
_zVec = rh.Geometry.Vector3d.ZAxis

_bPlane = rh.Geometry.Plane(_bPoint, _zVec);

intS = 100;

x1 = random.uniform(-intS,intS);
x2 = random.uniform(-intS,intS);
y1 = random.uniform(-intS,intS);
y2 = random.uniform(-intS,intS);
z1 = random.uniform(-intS,intS);
z2 = random.uniform(-intS,intS);

xS = rh.Geometry.Interval(x1,x2);
yS = rh.Geometry.Interval(y1,y2);
zS = rh.Geometry.Interval(z1,z2);

_cube = rh.Geometry.Box(_bPlane, xS, yS, zS);
_newCube = rh.Geometry.Box(_bPlane, xS, yS, zS);

trans = rh.Geometry.Transform.Translation(200,200,200);
rh.Geometry.Box.Transform(_newCube, trans);

a = _cube
b= _newCube``````

I guess this piece of code better shows what i’m trying to do/ have difficulties getting desired effects. Whenever _sA is a minus value translation won’t be performed - boxes will overlap.

_sA = 100;

_bPoint = rh.Geometry.Point3d(0,0,0);
_zVec = rh.Geometry.Vector3d.ZAxis
_plane = rh.Geometry.Plane(_bPoint, _zVec);
_a = rh.Geometry.Interval(-_sA, _sA);

_box1 = rh.Geometry.Box(_plane, _a,_a,_a);

_box2 = rh.Geometry.Box.Clone(_box1);
a = _box1
b = _box2

_tV = rh.Geometry.Transform.Translation(200,0,0);

rh.Geometry.Box.Transform(_box2, _tV);

Hi,

Can you tell what is not working with the translation.
I think with a decreasing interval your box will be positioned to the left/front/bottom and as such be in a different position as you expect?

maybe you want to sort the x1,x2 y1,y2 z1,z2 before creating the intervals to ensure an increasing interval?

-Willem

The box just stays in place no matter what values the translation vector has. So i assume there has to be a special way of constructing a transformation matrix for decreasing intervals?

sorting the values might be a good idea but this is a part of a larger algorithm and i’m not quite sure yet if i would want it that way. however i will give it a thought. thanks! anyways i would wanna know if there’s a way of translating a cube with decreasing interval or if it really has to be constructed with increasing intervals.

A `Rhino.Geometry.Box` object is only valid if it has increasing intervals.

– Dale

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