(ちょうてん)

ちょうてん
noun
peak; vertex; apex
1. vertex; apex (geometry)
The point where two or more lines meet, such as the corner of a polygon.
三角形(さんかくけい)頂点(ちょうてん)
The vertex of a triangle.
三角形(さんかくけい)には(みっ)つの頂点(ちょうてん)がある。
A triangle has three vertices.
グラフの頂点(ちょうてん)(むす)(せん)(へん)という。
The lines connecting the vertices of a graph are called edges.
2. peak; summit; pinnacle
The highest point or greatest level of something.
(かれ)人気(にんき)頂点(ちょうてん)にいる。
He is at the peak of his popularity.
興奮(こうふん)頂点(ちょうてん)(たっ)した。
The excitement reached its climax.
彼女(かのじょ)のキャリアは頂点(ちょうてん)(きわ)め、世界中(せかいじゅう)から注目(ちゅうもく)(あつ)めた。
Her career reached its pinnacle, drawing attention from around the world.

頂点(ちょうてん) has both a geometric meaning (vertex, apex) and a figurative meaning (peak, pinnacle).

WORD FORMATION:
(ちょう) (top, summit) + (てん) (point)

GEOMETRIC SENSE:

  • The point where edges meet in a polygon or polyhedron
  • 頂点(ちょうてん)(かく): vertex angle
  • 三角形(さんかくけい)頂点(ちょうてん): vertices of a triangle

FIGURATIVE SENSE:

  • 頂点(ちょうてん)(たっ)する: to reach the peak
  • 頂点(ちょうてん)(きわ)める: to attain the summit
  • 人気(にんき)頂点(ちょうてん): the peak of popularity

SIMILAR WORDS:

  • ピーク: peak (loanword, more casual)
  • 絶頂(ぜっちょう): climax, zenith (more dramatic/literary)
  • 山頂(さんちょう): mountain summit (physical location only)