Monument Square
How many cubes are in the monument and square?
The latter is sometimes referred to as Plato's Geometrical Numbers and is usually accompanied by the statement that little or nothing is known about the true conditions of the problem. Some writers maintain that its terms are lost.
There is an ancient description of a massive cube erected in the center of a tiled plaza, and it requires no stretch of imagination to associate this monument with Plato's problem. The sketch shows Plato gazing upon the huge marble cube which is constructed out of a given number of smaller cubes. The monument rests in the center of a square plaza, paved with similar small cubic blocks of marble. There are just as many cubes in the pavement as there are in the monument, and they are precisely of teh same size. Tell how many cubes are required to construct the monument and the square plaza upon which it stands, and you will have solved the great problem of Platos Geometrical Numbers.
There are an infinite number of answers to that problem. The solution is that you have to find a number that is both a perfect square and a perfect cube.
Take any number to the sixth power and you will have a valid answer.
For instance 2^6 is 64
That would make a 4x4x4 monument on an 8x8x1 square.
3^6 is 729.
That would make a 9x9x9 monument on a 27x27x1 square.
 |
 Baltimore MD Postcard Washington Monument Mt Vernon Square Undivided Back 1900s $2.80 Time Remaining: 1h 7m Buy It Now for only: $2.80 |
 Portland Maine Postcard Monument Square Street View 1906 Hinckley ME Postmark $2.00 Time Remaining: 1h 59m Buy It Now for only: $3.25 |
 Portland Maine Postcard Longfellow Square Monument Statue 1932 ME Postmark $2.00 Time Remaining: 2h 4m Buy It Now for only: $3.25 |
 RICHMOND VA CAPITOL SQUARE WASHINGTON MONUMENT 1907 $24.99 Time Remaining: 2h 5m Buy It Now for only: $24.99 |
 Postcard Court House Square Confederate Monument Anderson South Carolina SC $5.00 Time Remaining: 2h 21m |
 Public SquareFountain MonumentWatertownNew York Linen Postcard $9.99 Time Remaining: 3h 46m Buy It Now for only: $9.99 |
 Cleveland Ohio Postcard Public Square Soldiers Sailors Monument Linen Unused $2.00 Time Remaining: 3h 53m Buy It Now for only: $3.00 |
 Glenwood Iowa IA 1940s RPPC Court House Square Monument Blooms and Glenwood $9.99 Time Remaining: 4h 19m |
 LEWISTOWN PENNSYLVANIA WEST MARKET STREET TOWARD MONUMENT SQUARE LINEN POSTCARD $4.00 Time Remaining: 6h 30m Buy It Now for only: $4.75 |
 NEW ORLEANS LA Jackson Square Equestrian Monument Antique Postcard Vtg Louisiana $12.50 Time Remaining: 16h 22m Buy It Now for only: $12.50 |
 ROCHESTER NH Central Square Monument $9.99 Time Remaining: 17h 22m |
 D129 Monument Square Business Section Portland Maine ME $9.57 Time Remaining: 17h 56m Buy It Now for only: $9.57 |
 Vintage Used Postcard OH Perrys Monument Washington Square Rhode Island $2.00 Time Remaining: 19h 17m Buy It Now for only: $2.00 |
 Trolleys at Monument Square on a Busy Day Portland ME Maine $5.50 Time Remaining: 20h 33m Buy It Now for only: $5.50 |
 Salt Lake City Utah Postcard Temple Square Statues Monuments c1930s Unused $2.80 Time Remaining: 20h 41m Buy It Now for only: $2.80 |
 UNUSED POSTCARD MONUMENT SQUARE PORTLAND MAINE $3.50 Time Remaining: 21h 32m Buy It Now for only: $3.50 |
 Baltimore Maryland Postcard Washington Square Monument Divided Back c1910s $3.15 Time Remaining: 21h 35m Buy It Now for only: $3.15 |
 Hoboken NJ FIREMENS MONUMENT IN CHURCH SQUARE PARK Postcard $9.99 Time Remaining: 1d 28m |
 c1920 Monument Public Square CLEVELAND OH Postcard $3.95 Time Remaining: 1d 1h 40m Buy It Now for only: $3.95 |
 NEW ORLEANS LA Jackson Square Monument Cannon Postcard $8.25 Time Remaining: 1d 2h 40m Buy It Now for only: $8.25 |
 New York Watertown PUBLIC SQUARE MONUMENT FOUNTAIN CHURCH Old View NY Postcard $0.50 Time Remaining: 1d 3h 12m |
 pcGriest Building and Penn Square Lancaster PA w trolleys at monument 1930 $6.50 Time Remaining: 1d 3h 16m |
 NYC NY UNION SQUARE TROLLEY MONUMENT PARK P C $6.00 Time Remaining: 1d 3h 27m Buy It Now for only: $6.00 |
 Public Square Soldiers and Sailors Monument Geneva Ohio Old Postcard $6.00 Time Remaining: 1d 3h 44m |
 Salt Lake City Utah Postcard Temple Square Pioneer Monument Mormon LDS 1960s $3.15 Time Remaining: 1d 4h 22m Buy It Now for only: $3.15 |
 Salt Lake City Utah Postcard Temple Square Sea Gull Monument Mormon 1960s $3.15 Time Remaining: 1d 4h 30m Buy It Now for only: $3.15 |
 BALLSTON SPA NY FRONT ST MONUMENT SQUARE used 1908 $14.95 Time Remaining: 1d 5h 37m Buy It Now for only: $14.95 |
 CAMDEN ME Monument Square c1905 Rotograph PC $9.91 Time Remaining: 1d 5h 40m Buy It Now for only: $9.91 |
 1900s Postcard CLEVELAND PUBLIC SQUARE Trolleys SOLDIERS SAILORS MONUMENT $9.00 Time Remaining: 1d 6h 7m Buy It Now for only: $9.00 |
 RICHMOND VA CAPITOL SQUARE WASHINTON MONUMENT Postcard $1.79 Time Remaining: 1d 6h 36m Buy It Now for only: $1.79 |
 Michigan Avenue Looking West from Monument Square Postcard Battle Creek $10.00 Time Remaining: 1d 13h 58m Buy It Now for only: $10.00 |
 Postcard 905903 Monument Square Portland ME $3.00 Time Remaining: 1d 14h 22m Buy It Now for only: $3.00 |
 PortlandMEMonument Square looking West 1925 $3.45 Time Remaining: 1d 16h Buy It Now for only: $3.45 |
 WI RACINE MONUMENT SQUARE MAILED 1906 TOWN VIEW T90421 $10.00 Time Remaining: 1d 18h 22m Buy It Now for only: $10.00 |
 Vintage PC Public Square Monument Chambersburg Pa $4.95 Time Remaining: 1d 18h 58m Buy It Now for only: $4.95 |
 1905 PC SOLDIERS MONUMENT ORANGE SQUARE PORT JERVIS NY $5.99 Time Remaining: 1d 22h 14m Buy It Now for only: $5.99 |
 MONUMENT SQUARE LOOKING NORTH LEOMINSTER MASSACHUSETTS MA Postcard 1907 $7.29 Time Remaining: 1d 22h 56m Buy It Now for only: $7.29 |
 Portland Maine Postcard Monument Square Elsa West Drawing c1920s Unused $4.20 Time Remaining: 1d 23h 35m Buy It Now for only: $4.20 |
 PORTLAND ME MONUMENT SQUARE PM 1911 $4.99 Time Remaining: 2d 1m Buy It Now for only: $4.99 |
 PostcardMonuments on Temple Square in Salt Lake CityUtahUT $3.95 Time Remaining: 2d 35m Buy It Now for only: $3.95 |
 1950s Public Square Sailors Monument Cleveland OH PC $3.49 Time Remaining: 2d 1h 45m Buy It Now for only: $3.49 |
 Soldiers Monument Public Square Bloomsburg PA Postcard $5.00 Time Remaining: 2d 3h 23m Buy It Now for only: $5.00 |
 Longfellow Monument Square Portland Maine ME $7.99 Time Remaining: 2d 5h 42m Buy It Now for only: $7.99 |
 c1950s Monument Square Leominster MA postcard view $3.95 Time Remaining: 2d 13h 12m Buy It Now for only: $3.95 |
 Soldiers and Sailors Monument Public Square Cleveland Ohio vintage postcard $3.95 Time Remaining: 2d 14h 7m Buy It Now for only: $3.95 |
 4084 Sea Gull Monument Temple Square Salt lake City Utah Vintage old Post Card $4.50 Time Remaining: 2d 14h 52m Buy It Now for only: $4.50 |
 MASSACHUSETTS Lynn City Hall Square Soldiers monument 1908 MA postcard $8.95 Time Remaining: 2d 18h 26m Buy It Now for only: $8.95 |
 CALIFORNIA San Francisco Union Square Dewey Monument SPRR1910 CA postcard $8.95 Time Remaining: 2d 18h 36m Buy It Now for only: $8.95 |
 Keene New Hampshire 1905 Soldiers Monument Town Square $24.95 Time Remaining: 2d 18h 42m Buy It Now for only: $24.95 |
 MAINE Augusta Monument Park Town Square 1907 ME postcard $8.95 Time Remaining: 2d 18h 42m Buy It Now for only: $8.95 |
 Brooklyn New York NY 1908 Court Square Beecher Monument $9.00 Time Remaining: 2d 18h 51m Buy It Now for only: $9.00 |
 Portland Maine ME 1940 Longfellow Monument Square $6.95 Time Remaining: 2d 19h 5m Buy It Now for only: $6.95 |
 RI NEWPORT WASHINGTON SQUARE PERRY MONUMENT T78571 $15.00 Time Remaining: 2d 19h 22m Buy It Now for only: $15.00 |
 NC ASHEVILLE PACK SQUARE MONUMENT EARLY R28071 $12.00 Time Remaining: 2d 20h 44m Buy It Now for only: $12.00 |
 NC ASHEVILLE PACK SQUARE LIBRARY VANCE MONUMENT R28123 $12.00 Time Remaining: 2d 20h 46m Buy It Now for only: $12.00 |
 c1920s Clinton Square Monument PO Syracuse NY postcard $3.95 Time Remaining: 2d 20h 51m Buy It Now for only: $3.95 |
 New London CT Monument Square Postcard $2.99 Time Remaining: 2d 22h 24m Buy It Now for only: $2.99 |
 Public Square showing Fountain Soldiers Sailors Monument Watertown NY Postcard $2.25 Time Remaining: 2d 22h 47m Buy It Now for only: $2.25 |
 Public Square Soldiers Sailors Monument Watertown NY Postcard $2.25 Time Remaining: 2d 23h 17m Buy It Now for only: $2.25 |
 MA SWAMPSCOTT Monument Square Avenue 1960s Postcard Massachusetts Sid Lane Photo $1.98 Time Remaining: 3d 1h 7m Buy It Now for only: $1.98 |
 Old 1933 Postcard Monument Square Amherst NH $2.89 Time Remaining: 3d 1h 47m Buy It Now for only: $2.89 |
 Monument Square and ME Church Camden ME $3.99 Time Remaining: 3d 2h Buy It Now for only: $3.99 |
 Antique POSTCARD c1907 Monument Square FITCHBURG MA $8.99 Time Remaining: 3d 2h 40m Buy It Now for only: $8.99 |
 New Orleans LA Jackson Square Monument Postcard $5.00 Time Remaining: 3d 2h 49m Buy It Now for only: $5.00 |
 PORTLAND ME Monument Square TROLLEY DETROIT PUBLISHING $5.89 Time Remaining: 3d 2h 59m Buy It Now for only: $5.89 |
 POTTSVILLE PA Crowds Cars in Garfield Square Soldiers Monument Vtg Postcard PC $16.50 Time Remaining: 3d 3h 11m Buy It Now for only: $16.50 |
 Main Street and Monument Square Woonsocket RI Postcard $9.95 Time Remaining: 3d 3h 36m Buy It Now for only: $9.95 |
 rzl New Orleans LA Jackson Square and Monument $5.00 Time Remaining: 3d 3h 58m Buy It Now for only: $5.00 |
 Racine WI 1909 Monument Square Postcard $4.99 Time Remaining: 3d 4h 45m |
 1906 Reichner Bros Color Postcard Monument Square Portland Maine $5.00 Time Remaining: 3d 5h 36m Buy It Now for only: $5.00 |
 PA EASTON Centre Square Soldiers Monument UDB PM 06 9497 $14.00 Time Remaining: 3d 7h 22m Buy It Now for only: $14.00 |
 PC WB Soldiers Monument Park Square Pittsfield MA Massachusetts Postcard Vintage $4.99 Time Remaining: 3d 14h 31m Buy It Now for only: $4.99 |
 Monument Square LEOMINSTER Mass trolley scene 1913 $3.95 Time Remaining: 3d 14h 58m Buy It Now for only: $3.95 |
 PC WB Soldiers Monument Cleveland Ohio OH Postcard Public Square Military $4.99 Time Remaining: 3d 14h 59m Buy It Now for only: $4.99 |
 Monument Square Concord Massachusetts MA Postcard $7.99 Time Remaining: 3d 15h 11m Buy It Now for only: $7.99 |