# Definitions for dunce hatdunce hat

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1. dunce hatnoun

A conical hat one is forced to wear to indicate he is a dunce.

2. dunce hatnoun

The topological space obtained by identifying the sides comprising the boundary of a triangle, two sides with consistent orientation and the third with the reverse orientation.

### WikipediaRate this definition:0.0 / 0 votes

1. dunce hat

Dunce is a mild insult in English meaning "a person who is slow at learning or stupid". The etymology given by Richard Stanyhurst is that the word is derived from the name of the Scottish Scholastic theologian and philosopher John Duns Scotus.

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1. Dunce hat

In topology, the dunce hat is a compact topological space formed by taking a solid triangle and gluing all three sides together, with the orientation of one side reversed. Simply gluing two sides oriented in the same direction would yield a cone much like the layman's dunce cap, but the gluing of the third side results in identifying the base of the cap with a line joining the base to the point. The dunce hat is contractible, but not collapsible. Contractibility can be easily seen by noting that the dunce hat embeds in the 3-ball and the 3-ball deformation retracts onto the dunce hat. Alternatively, note that the dunce hat is the CW-complex obtained by gluing the boundary of a 2-cell onto the circle. The gluing map is homotopic to the identity map on the circle and so the complex is homotopy equivalent to the disc. By contrast, it is not collapsible because it does not have a free face. The name is due to E. C. Zeeman, who observed that any contractible 2-complex after taking the Cartesian product with the closed unit interval seemed to be collapsible. This observation became known as the Zeeman conjecture and was shown by Zeeman to imply the Poincaré conjecture.

1. chaunted

### Numerology

1. Chaldean Numerology

The numerical value of dunce hat in Chaldean Numerology is: 6

2. Pythagorean Numerology

The numerical value of dunce hat in Pythagorean Numerology is: 4

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"dunce hat." Definitions.net. STANDS4 LLC, 2024. Web. 27 May 2024. <https://www.definitions.net/definition/dunce+hat>.

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A witless
B dependable
C occasional
D aligned