ok percy's method making that. Obviously other ways of doing it. video tutorial even better daforce.
Step 1. Make box. Give it 6 segments on all sides. Convert it to E poly

Step 2. Choose all verts inside the edge and non uniform scale them like so. This will make your sharp edge after meshsmooth. The closer to the edge they are, the sharper the crease after smoothing

Step 3.
Create a sphere and place it like so. Make sure its aligned on the X and Y for one of the views. We'll be using it for a guide.

Step 4. Select the inner verts and non uniform scale them until they fit the edge of sphere. Remember how far it was scaled. In my attempt it was 141 units. Do the same for all sides of sphere until you get the following:

Step 5. Select faces like so.

Step 6. Now it gets fun. Click the bevel button next to the word bevel. Will bring up a dialogue box. Change height and outline until you get something like below. The smaller the initial outline, the tighter the crease will be after meshsmooth

Step 7. Click apply. will automatically repeat last bevel. Adjust and reclick apply following form of sphere. Do it again and again until you reach end of the sphere.

Step 8. Get out of subobject mode and click your meshsmooth. Give it a couple subdivides and your done!.

If you like you can go into subobject mode for the meshsmooth, select edges and apply crease weights to make sharper creases on the edges. Hoped this helped.
Step 1. Make box. Give it 6 segments on all sides. Convert it to E poly

Step 2. Choose all verts inside the edge and non uniform scale them like so. This will make your sharp edge after meshsmooth. The closer to the edge they are, the sharper the crease after smoothing

Step 3.
Create a sphere and place it like so. Make sure its aligned on the X and Y for one of the views. We'll be using it for a guide.

Step 4. Select the inner verts and non uniform scale them until they fit the edge of sphere. Remember how far it was scaled. In my attempt it was 141 units. Do the same for all sides of sphere until you get the following:

Step 5. Select faces like so.

Step 6. Now it gets fun. Click the bevel button next to the word bevel. Will bring up a dialogue box. Change height and outline until you get something like below. The smaller the initial outline, the tighter the crease will be after meshsmooth

Step 7. Click apply. will automatically repeat last bevel. Adjust and reclick apply following form of sphere. Do it again and again until you reach end of the sphere.

Step 8. Get out of subobject mode and click your meshsmooth. Give it a couple subdivides and your done!.

If you like you can go into subobject mode for the meshsmooth, select edges and apply crease weights to make sharper creases on the edges. Hoped this helped.

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