Vine
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A vine is any plant with a growth habit of trailing or scandent stems, lianas, or runners. The word vine can also refer to such stems or runners themselves, for instance, when used in wicker work.
Momordica charantia (bitter melon), a climbing plant
A tendril
Convolvulus vine twining around a steel fixed ladder
Boston ivy covering a chimney
Tendril
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In botany, a tendril is a specialized stem, leaf or petiole with a thread-like shape used by climbing plants for support and attachment, as well as cellular invasion by parasitic plants such as Cuscut
Vine
…with twining petioles (e.g., Clematis species) using tendrils, which can be specialized shoots (Vitaceae), leaves (Bignoniaceae), or even inflorescences (Passiflora) using tendrils which also produce adhesive pads…
Tendril of a common climbing plant
Nepenthes rafflesiana upper pitcher with coiled tendril.
Virginia creeper vine beginning tendril