5-simplex

Summary

5-simplex ranks in the top 2% of general entities by monthly Wikipedia readership (237 views/month).^[1]

Key Facts

• 5-simplex followed regular 5-cell^[2].
• 5-simplex was followed by 6-simplex^[3].
• 5-simplex is a type of simplex^[4].
• 5-simplex is a type of 5-polytope^[5].
• 5-simplex is a type of hexatope^[6].
• 5-simplex's has facet polytope is recorded as pentachoron^[7].
• 5-simplex's dual to is recorded as 5-simplex^[8].
• 5-simplex's has vertex figure is recorded as pentachoron^[9].
• 5-simplex's has part is recorded as vertex^[10].
• 5-simplex's has part is recorded as edge^[11].
• 5-simplex's has part is recorded as face^[12].
• 5-simplex's has part is recorded as cell^[13].
• 5-simplex's has part is recorded as 4-face^[14].
• 5-simplex's Schläfli symbol is recorded as {3,3,3,3}^[15].
• 5-simplex's Schläfli symbol is recorded as {3⁴}^[16].

Body

Definition and Type

Recorded subclass of include simplex^[4], 5-polytope^[5], and hexatope^[6].

Why It Matters

5-simplex ranks in the top 2% of general entities by monthly Wikipedia readership (237 views/month).^[1] 5-simplex has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[17] 5-simplex is known by 13 alternative names across languages and contexts.^[18]