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What you'll need:
Clay, I suggest raku
cardboard roll(anything from a toilet roll to gladwrap roll)
sheet of newspaper
collected texture tools.
Roll and texture your slab, leave to harden for approx 15 minutes, until it is workable.
Cover your cardboard roll with newspaper just tightly enough so the newspaper just moves on the roll.
Measure and cut the clay to fit the roll with approx 1/2" overlap.
Gently roll the clay onto your covered cardboard roll and join with your fingers.
Cut around the base of the cylinder, and while still on your cardboard join to the cylinder.
Leave till leather hard, the smooth the joins.
These make great vases, be sure to glaze inside and out, or pencil/pen holders, you could also attach a handle to use as a personalised mug.