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The packaging industry always wants to save money by using the least possible material in their boxes and packages. This example shows the smallest circle that can enclose 61 unit-sized circles. (The small circles are represented as marbles, for visual interest.) A shows the marbles arranged as four rings arranged evenly around a central marble. The red circle behind, the bounding circle, represents the area of the cylindrical box that would enclose them exactly, top and bottom. B shows the same marbles arranged in a similar way, but packed together as closely as possible, so that all marbles are in contact with other marbles. The result is a hexagon, but the bounding circle is identical to A. C is the mathematician's answer to the problem. Although the marbles are arranged very similarly to A, the red bounding circle has an area that is nearly 8% smaller than the other two. This is a 3D render.

A panoramic shot of beautiful rural landscape with rainbow over agricultural fields

Portrait of a female optometrist standing beside a eye test chart

Beautiful Rainbow after a heavy Rain

Large rainbow semicircle in the cloudy sky over the city. City landscape after the rain in a light blur.

rainbow in Beijing

2022 summer, Kangwondo, Korea.

Rainbow close up on a dark day

Gay pride flag on wooden table shot in studio

Lithuanian flag waving in the wind

rainbow

Photo of a rainbow during sunset riding over a tree

Rainbow over bridleway

The road to Ronda, Spain

flag of the LGBT community of America

Toronto, Canada - August 5, 2024: Information and direction signs in the old town district. No people in the scene.

Sun's Gloat

Wide angle shot of forest tree tops with beautiful double rainbow in sky

An illustration of abstract background with rainbow between black and gray surfaces

Double rainbow over the vineyards in Val di Chiana, Arezzo province, Tuscany

rainbow over the city

rainbow over trees

Visual acuity test stand. Diagnosis of vision.

Rainbow in Heeze, Brabant near the Strabrechtse Heide

Aerial photography

Rainbow

a beautiful rainbow after the rain at the wind turbine farm

Answer Sheet And Pencil On The Table

Sun rainbow

Math shapes: a cone and a sphere with a strong photographic effect, in the form of a halftone line screen.

Free Images: "bestof:Color blindness el.png en A comparison of the visible color spectrum in common types of color blindness el � ερικά � αραδείγματα"

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