impossible ball?

[catapulta00]

hello to all I'm going crazy, I can't create a ball like football with 20 hexagons and 12 pots, someone can give me some advice

 

[cingolo]

You could create a set formed by parties to form from hexagons and pentagons, the greater difficulty would be the constraints, perhaps the pin bond would solve the problem.

 

[Fulvio Romano]

but do you care about flat faces or, as in reality, curves?

 

[blubossa]

but do you care about flat faces or, as in reality, curves?

I think it's the curved faces that interest him. . .

 

[tecnico_plast]

I remember that he talked about it some time ago, the procedure was also explained.

try to do a search on the forum.

 

[RS4]

hello to all I'm going crazy, I can't create a ball like football with 20 hexagons and 12 pots, someone can give me some advice

this discussion already exists link
http://www.cad3d.it/forum1/showthread.php?t=7038then I attach you image of the ball that I made in catia v5 composed of 20 hexagons and 12 pentagons. .

I drew the two figures separately and then assembled them in 6 steps.

1 sketch of geometry (hexagon)
2 ball building
3 projects the sketch on the sphere
4 cuts the ball with projected geometry
5 thickness 2 mm of the cut surface (hexagon)
6 assembles among them first hexagons and then pentagons

greetings

♪

 

[zimmy]

il football ball is a solid that does not belong to the family of platonic solids that are, on the other hand, regular polyhedra which respect the following rules:
- faces are regular polygons
- all faces are equal and overlapping
- solid corners are equal to each other

Such solids were associated with platoon to the constituent elements of the universe:
tetrahedron (fire) , cube (land) , octaedron (air), icosahedron (water), dodecahedron (quinto essence)
the old soccer ball was therefore made up of unequal faces (pentagons and hexagons) .
the images you see are variants, called "vacui".

The baseball baseball baseball (like tennis) instead it consists of two equal parts that "beam".

 

[maxopus]

I did it with the wf4.
I saw that the maximum circumference must be 68-70 cm.
I only had to calculate the sides of the hexagons/pentagons and developed the model. came as beautiful and precise as that of the image posted by zimmy.
I have to post it?
But I was thinking of relating the size of the polygons to the circumference of the ball so as to allow an easy modification of the model.

 

[catapulta00]

hello to all you are too good at this forum. However I was successful and the procedure is similar, perhaps the same as rs4; I first built the truncated ichosaedro and then wrapped by a sphere, I projected the edges of the polyhedron on the surface and fortunately the ball came out.

I have only two problems:
1) the sides of polygons are not all the same, but I think we can solve it with a polyhedron report
2)I don't understand why when I run the whole 20 mm size model fails me; I solved this by saving an iges file and then I worked on that model, but I don't understand why I can't make a 20mm scale projection.

hello and thanks again

 

[maxopus]

your model is incorrect, hexagons must be regular.

 

[catapulta00]

I know this but I think it can be solved by cutting the idiosaedron well, but explain why it does not project me when the model is small (20mm)

 

[catapulta00]

This is fair

 

[RS4]

hello to all you are too good at this forum. However I was successful and the procedure is similar, perhaps the same as rs4; I first built the truncated ichosaedro and then wrapped by a sphere, I projected the edges of the polyhedron on the surface and fortunately the ball came out.

I have only two problems:
1) the sides of polygons are not all the same, but I think we can solve it with a polyhedron report
2)I don't understand why when I run the whole 20 mm size model fails me; I solved this by saving an iges file and then I worked on that model, but I don't understand why I can't make a 20mm scale projection.

hello and thanks again

I did differently from you...
I designed the figures, hexagon and pentagon singles in 2 different parts and then I assembled them in one product

I will train you step of operations

 

[RS4]

continues the sequence

it would be interesting to see the various ways performed by colleagues exposing their processing steps

greetings

♪

 

[maxopus]

continues the sequence

it would be interesting to see the various ways performed by colleagues exposing their processing steps

greetings

♪

I also used the same method.
How did you calculate the exact measurement of polygons?

 

[RS4]

I also used the same method.
How did you calculate the exact measurement of polygons?

this is the bug I used


calculation measures in cm

ball area r*3.14*r^2 =308,6544cm2

ball area divider 308.6544/4.956 =62,2789

side^2= a/62.2789= 4.956

then the segment side proitatto on the ball about 2.2cm instead in the sketch 2cm


Sorry for the rush in writing but I have to run away

 

[Fulvio Romano]

but why if you change the size of the polygons the tipping changes? should not.. .

 

[maxopus]

no no, it is a simple proportion between the circumference of the sphere and the side of the polygons.
I read somewhere that must be 68-70 cm.

 

[RS4]

but why if you change the size of the polygons the tipping changes? should not.. .

no tipping didn't change it was just to have the sides of the polygons at 20mm per side and I responded to max that he asked me the formula as I had made me the football ball... I calculated sphere and radius,

the quantity of taxes and always the same

Hi.

♪