  We report on the fabrication of an all-glass vapor cell with a thickness
varying linearly between (exactly) 0 and ~ 1 {\mu}m. The cell is made in
Borofloat glass that allows super polish roughness, a full optical bonding
assembling and easy filling with alkali vapors. We detail the challenging
manufacture steps and present experimental spectra resulting from off-axis
fluorescence and transmission spectroscopy of the Cesium D1 line. The very
small surface roughness of 1 Angstr\"om rms is promising to investigate the
atom-surface interaction or to minimize parasite stray light.
