Mathematical Shapes

noun a curved structure that spans an opening and typically supports the weight above it

verb to form or cause to form an arch or curve

adjective relating to an arch or having a curved shape

adverb in an arching or curved manner

• The architect designed a beautiful arch for the entrance of the building.
• Let's take a picture under that cool arch over there.
• Check out that sick arch on the skate ramp!
• The arch of her eyebrow showed her skepticism towards the proposal.

noun a solid or hollow object that tapers from a circular or roughly circular base to a point

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• The ice cream vendor handed me a cone with two scoops of vanilla ice cream.
• I grabbed a cone of fries to snack on while waiting for the movie to start.
• Let's hit up the ice cream shop and grab a cone before heading to the beach.
• The mountain peak resembled a cone, towering over the surrounding landscape.

noun a sample or representative part of a larger group or population

• The scientist analyzed the cross section of the rock sample under a microscope.
• I saw a cool cross section of a tree trunk in science class today.
• Check out the cross section of that new building - it looks awesome!
• The novel provides a cross section of society in the 1920s.

adjective relating to or having the shape of an ellipsoid, which is a three-dimensional geometric figure resembling a flattened sphere

• The ellipsoidal shape of the planet was carefully studied by astronomers.
• The planet's ellipsoidal shape was really interesting to the scientists.
• That planet looks like a big ellipsoidal potato.
• Her thoughts were like an ellipsoidal maze, twisting and turning with no clear direction.

noun a word (other than a pronoun) used to identify any of a class of people, places, or things common noun, or to name a particular one of these proper noun

adjective a word or phrase naming an attribute, added to or grammatically related to a noun to modify or describe it

• The equilateral triangle has three congruent sides and three congruent angles.
• I drew an equilateral triangle for my math homework.
• That equilateral shape is so cool, dude!
• In a perfect world, all relationships would be equilateral, with equal give and take.

adverb Irregularly is an adverb that describes the manner in which something is done or happens in an irregular or inconsistent manner.

• The data points are distributed irregularly across the graph.
• She only goes to the gym irregularly, so she hasn't seen much progress.
• I've been eating irregularly lately, mostly just snacking throughout the day.
• His thoughts were swirling irregularly in his mind, making it hard to focus.

noun a structure consisting of a framework of string or wire supporting a mesh

verb to catch or secure with a net

adjective remaining after deductions; final or ultimate

• The company reported a net profit of $1 million last quarter.
• After expenses, she had a net income of $500.
• I need to check my net worth before making any big purchases.
• The net of corruption has ensnared many high-ranking officials.

noun a polyhedron or other object with many plane faces

adjective relating to or denoting a solid figure with many plane faces, especially a polyhedron

• The architect designed a polyhedral structure for the new museum.
• I saw a cool polyhedral building downtown.
• That polyhedral shape is so rad!
• His mind was like a polyhedral puzzle, complex and multifaceted.

noun a structure with a square or triangular base and sloping sides that meet at a point

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• The ancient Egyptians built the Great Pyramid of Giza as a tomb for Pharaoh Khufu.
• Let's take a selfie in front of the pyramid!
• That new workout plan is going to give you killer abs - it's like a pyramid scheme for fitness.
• Success is like climbing a pyramid - you have to start at the bottom and work your way up.

noun a half of a circle, formed by a diameter and the connected arc

• The area of a semicircle can be calculated by using the formula A = (πr^2)/2.
• I like to sketch semicircles when doodling in my notebook.
• That pizza was so big, it looked like a semicircle when we cut it into slices.
• Her smile was like a semicircle, spreading from ear to ear.

adjective describing a shape that is half of a circle; having the shape of a semicircle

• The semicircular arches of the cathedral were a stunning example of Gothic architecture.
• The semicircular driveway makes it easy to pull in and out of the house.
• I love how the semicircular stage gives the performers room to move around.
• Her smile was like a semicircular rainbow, brightening up the room.

noun a round solid figure, or its surface, with every point on its surface equidistant from its center

• The sphere of influence of a corporation can extend globally.
• She's really into the whole social media sphere.
• I'm not really in your sphere, dude.
• Her expertise in the legal sphere is unmatched.

noun a small piece of colored glass, stone, or other material used in mosaics

• The tessera is a small square tile used in creating mosaics.
• I found a beautiful tessera while exploring the ancient ruins.
• Check out this cool tessera I picked up at the flea market.
• Each experience in life is like a tessera, contributing to the larger mosaic of our existence.

noun a four-sided figure with at least one pair of parallel sides

adjective describing or relating to a trapezoid

• The trapezoid is a quadrilateral with at least one pair of parallel sides.
• I struggled to remember the properties of a trapezoid for my math test.
• That trapezoid shape is so weird, it looks like a lopsided rectangle.
• Her thoughts were like a trapezoid, with some ideas parallel and others diverging.

noun a polygon with nine sides and nine angles

• A nonagon is a polygon with nine sides and nine angles.
• I learned in math class that a nonagon has nine sides.
• Check out this cool nonagon shape I drew in art class.
• The nonagon of emotions she felt towards him was complex and hard to decipher.

noun a polygon with ten sides and ten angles

• A decagon is a polygon with ten sides and ten angles.
• Have you ever tried drawing a decagon? It's pretty challenging.
• That decagon shape looks like a funky stop sign.
• The team's defense formed a decagon around the goal, making it nearly impossible for the opponent to score.