Aylostera knizei was described (as Lobivia pygmaea var. knizei) in Lobivia 85, p. 144, by Walter Rausch in 1987.

Here is the text of the description, in Latin as published, with my own English translation below. You should look up the original description for more details and photographs.

Lobivia pygmaea (Fries) Backeberg var. knizei Rausch var. nov.

Simplex vel paulum proliferans, brevi‑cylindrica, 20 mm alta et 15 mm diametiens, glauca, violaceosuffusa; costis 10, rectis vel paulum tortis, sulcis transversalibus in gibberulos 2–3 mm longos divisis; areolis rotundis ad ovalibus, 2 mm longis, albo‑ et fusco‑tomentosis; aculeis marginalibus 5 paribus, 1 sursum 1 deorsum directis, radianter-accumbentibus, vitreo cornus colore, basi fusca incrassatis; aculeo centrali 1, recte patente, 4 mm longo, clare‑fusco, imo et summo obscuriore.

Floribus 30 mm longis et diametientibus, ovario et receptaculo roseo‑fusco, squamis fuscis, lana et setis albis tecto; phyllis perigonii exterioribus lanceolatis, flavis, medio‑fusco‑roseo‑striatis; phyllis perigonii interioribus lanceolatis, longeacurninatis, flavis; fauce, stylo, filamentis, stigmatibus (5) clare‑viridibus; stylo et receptaculo 2 mm longitudinis connato. Fructu globoso, 5 mm diametiente, ochraceo, pilis et setis albis tecto.

Seminibus Lobiviae pygmaeae (Fries) Backbg. modo.

Patria: Bolivia, prope Challapata, 3.800 m alt. (Knize: apud Pazna)

Typus: Rausch 676 a.

Lobivia pygmaea (Fries) Backeberg var. knizei Rausch var. nov.

Simple, or a little branching, short-cylindrical, 20 mm tall and 15 mm diameter, greyish, suffused with violet; 10 ribs straight or slightly helical, in 2-3 mm long tubercles divided by transverse furrows; areoles round to oval, 2 mm long, white and brown-felted; radial spines 5 equal, one pointing upwards and one pointing downwards, accumbent, translucent horn-coloured with a thickened black base; central spine 1, upright and exposed, 4 mm long, bright-brown, darker at the top and bottom.

Flower: 30 mm long and the same diameter, ovary and receptacle reddish-brown, brown scales, covered with white wool and bristles; outer petals lanceolate, yellow, with a brownish pink central-stripe; inner petals lanceolate, long and pointed, yellow; throat, style, anthers, stigmas (5) light green; style and receptacle fused by 2 mm. Fruit spherical, 5 mm diameter, ochre coloured, covered with white hair and bristles.

Seeds as for Lobivia pygmaea (fries) Backbg.

Habitat: Bolivia near Challapata, 3.800 m alt. (Knize: in Pazna)

Type: Rausch 676a.