Challenge - fillet and constraint

ok let s combine the fillets and (non implemented) constraints to a nice new challenge.

rolling ball, true arc only !

well we had this nice topic

the challenge


find a nice position for the red/violett surface so the final R15 fillets nicely.
and not as bad as above surfaces.

the main challenge is to find the blue curve (one arc, one line, between (x) and (x))

the result

the green planar Surface and the Radius of the blueish fillet are set to have a single Corner Fillet.

boxWithWingChallenge_00_rh8.3dm (73.9 KB)

i was not able to find a nice solution without cheating with grasshoppers digit-scroller … or use a modeller with constraints - see this Arc - challenge

happy modelling - kind regards - tom

boxWithWingChallenge_00_rh8_sg.3dm (243.6 KB)

The trick here is to offset the surface over the desired radius and than use scaling to align the seams, then offset back and fillet.

nice.
yes, that was also part of my approach.

… but your un-fillet surfaces do not hit the dot at z=80

… which let me to this nested arc-construction challenge
… which emphasises that constraints would be nice. ;-D

I missed that condition. So the idea is that the height of the horizontal plane stays put as well? And the tilted surface angle is not defined?

sorry if i was not precise about this - but that s the part where constraints would come into play…

yes the angle is free.

If the angle of the tilted plane can be anything that makes it pretty easy (see image below)

Make the green surface (any radius that extends far enough)
Then make the cyan fillet (10 mm in this example)
Then split the green surface where the cyan fillet ends (at the black line)
Then make the red tilted plane tangent to the green
then continue with next fillet


boxWithWingChallengex.3dm (111.4 KB)

@jim the constraint you and I missed is that the height of the untrimmed upper edge needs to be 80

It comes down to solving this:

Which might be possible, but is significantly harder without using constraints.

yes :100: :smiley:

:melting_face: yes lets put constraints into Rhino natively :innocent: :hot_beverage: :doughnut:

This is what I get when the tilted plane must go thru the upper corner of the 125mm Radius
I used the same method I used with Tom’s other challenge.

boxWithWingChallengex2.3dm (118.3 KB)

Tom,

If Rhino had sketch constraints, what would be your workflow to solve this problem?