Sovereign Gold

gold fo all occasions puzzle?

Which is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?
the ans given is bucket full of half a sovereign gold pieces...
hw come its possible pls explain in detail

The weight is all that matters. Let's suppose the two types of coins are equal in purity, and that the half sovereign is just a smaller circular cylinder than the sovereign.

You can pack half sovereigns more closely than you can pack sovereigns. That is, there will be less space between coins, since the coins are smaller. [Rigorously proving this statement is probably extremely hard, and I imagine there can be strange bucket shapes such that the full sovereign is the one you want, but in reality the half sovereigns would pack more closely.] As motivation, try tiling a rectangle with circles of a given radius, and then try again with circles of a smaller radius. You'll find you can fit more area in using the smaller circles, since they "mesh" better with the edges.

In any case, a tighter packing means a higher density of gold, so the bucket full of half sovereigns wins.

Find Popular Sovereign Gold At eBay Below:

Great Britain 1887 Gold 1 2 Sovereign BU Jubilee Head
Great Britain 1887 Gold 1 2 Sovereign BU Jubilee Head
$350.00
1963 GOLD SOVEREIGN Great Britain Elizabeth COIN UK PLEASE SEE SCANS
1963 GOLD SOVEREIGN Great Britain Elizabeth COIN UK PLEASE SEE SCANS
$323.00
GOLD GREAT BRITAIN Sovereign 1863 UNC
GOLD GREAT BRITAIN Sovereign 1863 UNC
$374.00
Great Britain 1892 Gold 1 2 Sovereign AU UNC Victoria
Great Britain 1892 Gold 1 2 Sovereign AU UNC Victoria
$224.99
Great Britain 1876 Victoria Sovereign Gold Coin
Great Britain 1876 Victoria Sovereign Gold Coin
$446.50
1896 Gold Half 1 2 Sovereign Victoria and Dragon  Old Head  4
1896 Gold Half 1 2 Sovereign Victoria and Dragon Old Head 4
$490.00
GOLD FULL SOVEREIGN 1915 GREAT BRITAIN 79 GRAMS
GOLD FULL SOVEREIGN 1915 GREAT BRITAIN 79 GRAMS
$296.00
1826 GOLD FULL SOVEREIGN GEORGE 1V PROBLEM FREE COIN
1826 GOLD FULL SOVEREIGN GEORGE 1V PROBLEM FREE COIN
$475.00
Victoria Shield Sovereign 1871 Almost Uncirculated Die No 27
Victoria Shield Sovereign 1871 Almost Uncirculated Die No 27
$480.00
Makarios Cyprus 1966 proof gold half sovereign
Makarios Cyprus 1966 proof gold half sovereign
$530.00
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
$444.11
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
$499.99
Australia 1870 Gold Sovereign NGC AU 58 Sydney Mint
Australia 1870 Gold Sovereign NGC AU 58 Sydney Mint
$999.99
Great Britain 1861 Gold Sovereign NGC AU 55
Great Britain 1861 Gold Sovereign NGC AU 55
$549.99
2009 Great Britain 1 4 Sovereign Gold NGC PF 70 UC Proof Royal Mint UK SOV
2009 Great Britain 1 4 Sovereign Gold NGC PF 70 UC Proof Royal Mint UK SOV
$198.00
GREAT BRITAIN Elizabeth II 2009 AV Quarter Sovereign NGC PR70UCAM SCBC 4445
GREAT BRITAIN Elizabeth II 2009 AV Quarter Sovereign NGC PR70UCAM SCBC 4445
$169.00
GREAT BRITAIN George V 1911 AV Sovereign NGCPR64 St George slaying dragon S 3996
GREAT BRITAIN George V 1911 AV Sovereign NGCPR64 St George slaying dragon S 3996
$1,595.00
GREAT BRITAIN Elizabeth II 2009 AV Quarter Sovereign NGC PR70UCAM SCBC 4445
GREAT BRITAIN Elizabeth II 2009 AV Quarter Sovereign NGC PR70UCAM SCBC 4445
$169.00
1832 GREAT BRITAIN UK SOVEREIGN GOLD COIN NGC Certified XF45 William IIII
1832 GREAT BRITAIN UK SOVEREIGN GOLD COIN NGC Certified XF45 William IIII
$1,695.00
1887 Great Britain 1 2 Sovereign Jubilee Head NGC Unc Det Surface Hairlines
1887 Great Britain 1 2 Sovereign Jubilee Head NGC Unc Det Surface Hairlines
$479.99
Australia George V Gold Sovereign 1912 S MS65 NGC SYDNEY
Australia George V Gold Sovereign 1912 S MS65 NGC SYDNEY
$748.00
1931 SA South Africa Sovereign 1 SOV South African Gold Coin ANACS MS 63
1931 SA South Africa Sovereign 1 SOV South African Gold Coin ANACS MS 63
$446.25
1899 M Australia Sovereign SOV Australian Gold Coin ANACS AU 50 Details Cleaned
1899 M Australia Sovereign SOV Australian Gold Coin ANACS AU 50 Details Cleaned
$414.75
Great Britain 1983 Sovereign Gold Sov Coin NGC PF69 ULTRA CAMEO UK BU
Great Britain 1983 Sovereign Gold Sov Coin NGC PF69 ULTRA CAMEO UK BU
$508.00
1982 PROOF HALF SOVEREIGN 22 CARAT GOLD COIN ROYAL MINT
1982 PROOF HALF SOVEREIGN 22 CARAT GOLD COIN ROYAL MINT
$199.99
1983 1 2 Sovereign Gold Great Britain Half Sov Coin NGC PF69 ULTRA CAMEO UK BU
1983 1 2 Sovereign Gold Great Britain Half Sov Coin NGC PF69 ULTRA CAMEO UK BU
$298.00
1903 Great Britain Sovereign SOV British Gold Coin ANACS AU 50 B
1903 Great Britain Sovereign SOV British Gold Coin ANACS AU 50 B
$414.75
1982 GOLD SOVEREIGN GREAT BRITAIN SOV UK COIN NGC MS65 BU GEM
1982 GOLD SOVEREIGN GREAT BRITAIN SOV UK COIN NGC MS65 BU GEM
$458.00
1982 GOLD SOVEREIGN GREAT BRITAIN SOV UK COIN NGC MS66 BU GEM
1982 GOLD SOVEREIGN GREAT BRITAIN SOV UK COIN NGC MS66 BU GEM
$488.00
2014 FULL GOLD SOVEREIGN MULE ERROR COIN
2014 FULL GOLD SOVEREIGN MULE ERROR COIN
$4,499.95
1967 Great Britain Gold Sovereign Elizabeth NGC MS65 Uncirculated BU Coin UK SOV
1967 Great Britain Gold Sovereign Elizabeth NGC MS65 Uncirculated BU Coin UK SOV
$518.00
1925 SA South Africa Sovereign Gold Coin ANACS EF 45
1925 SA South Africa Sovereign Gold Coin ANACS EF 45
$450.00
1928 SA South Africa Sovereign Gold Coin ANACS AU 58
1928 SA South Africa Sovereign Gold Coin ANACS AU 58
$495.00
1899 S Australia Gold Sovereign MS62 PCGS SOV COIN
1899 S Australia Gold Sovereign MS62 PCGS SOV COIN
$458.00
1928 SA South Africa Sovereign Gold Coin ANACS MS 62
1928 SA South Africa Sovereign Gold Coin ANACS MS 62
$550.00
1930 SA South Africa Sovereign Gold Coin ANACS MS 63
1930 SA South Africa Sovereign Gold Coin ANACS MS 63
$550.00
1900 M Australia Gold Sovereign BU Coin MS61 PCGS Sov KM13 Veiled Head
1900 M Australia Gold Sovereign BU Coin MS61 PCGS Sov KM13 Veiled Head
$528.00
2000 Great Britain Gold Sovereign MS67 PCGS UK Millennium First Strike KM 1002
2000 Great Britain Gold Sovereign MS67 PCGS UK Millennium First Strike KM 1002
$495.00
1911 S Australia Sovereign PCGS MS63 S 4003
1911 S Australia Sovereign PCGS MS63 S 4003
$399.99
1911 C GOLD SOVEREIGN CANADA UNCIRCULATED SCARCE
1911 C GOLD SOVEREIGN CANADA UNCIRCULATED SCARCE
$368.00



List Of Recently Purchased Sovereign Gold:


great britain 1887 gold 12 sovereign bu jubilee head, 1963 gold sovereign great britain elizabeth coin uk please see scans, goldgreat britain sovereign 1863 unc, great britain 1892 gold 12 sovereign au unc victoria, great britain 1876 victoria sovereign gold coin, 1896 gold half 12 sovereign victoria and dragon old head 4, gold full sovereign 1915 great britain 79 grams , 1826 gold full sovereign george 1v problem free coin , victoria shield sovereign 1871 almost uncirculated die no 27, makarios cyprus 1966 proof gold half sovereign, gold coin 1909 uk great britain king edward gold sovereign, 1892 great britain 12 sovereign gold coin rare shield variety in high grade, australia 1870 gold sovereign ngc au58 sydney mint, great britain 1861 gold sovereign ngc au55, 2009 great britain 14 sovereign gold ngc pf 70 uc proof royal mint uk sov, great britain elizabeth ii 2009 av quartersovereign ngc pr70ucam scbc4445, great britain george v 1911 av sovereign ngcpr64 st george slaying dragon s3996, great britain elizabeth ii 2009 av quartersovereign ngc pr70ucam scbc4445, 1832 great britain uk sovereign gold coin ngc certified xf45 william iiii, 1887 great britain 12 sovereign jubilee head ngc unc det surface hairlines, australia george v gold sovereign 1912s ms65 ngc sydney, 1931sa south africa sovereign 1 sov south african gold coin anacs ms63, 1899m australia sovereign sov australian gold coin anacs au50 details cleaned, great britain 1983 sovereign gold sov coin ngc pf69 ultra cameo uk bu, 1982 proof half sovereign 22 carat gold coin royal mint, 1983 12 sovereign gold great britain half sov coin ngc pf69 ultra cameo uk bu, 1903 great britain sovereign sov british gold coin anacs au50 b, 1982 gold sovereign great britain sov uk coin ngc ms65 bu gem, 1982 gold sovereign great britain sov uk coin ngc ms66 bu gem, 2014 full gold sovereign mule error coin, 1967 great britain gold sovereign elizabeth ngc ms65 uncirculated bu coin uk sov, 1925sa south africa sovereign gold coin anacs ef45, 1928sa south africa sovereign gold coin anacs au58, 1899s australia gold sovereign ms62 pcgs sov coin, 1928sa south africa sovereign gold coin anacs ms62, 1930sa south africa sovereign gold coin anacs ms63, 1900m australia gold sovereign bu coin ms61 pcgs sov km13 veiled head, 2000 great britain gold sovereign ms67 pcgs uk millennium first strike km1002, 1911s australia sovereign pcgs ms63 s4003, 1911c gold sovereign canada uncirculated scarce, 1901 british 12 sovereign high grade ms63 pcgs certified full luster pristine, 1892 great britain 12 sovereign gold coin rare shield variety in high grade, 1829 english sovereign in pcgs holder, 1842 g britain 1sovereign in ngc holder au 55, 1862 australia 1 sovereign in ngc holder, 1903m australia sovereign pcgs ms61 melbourne s3971, great britain 1925 gold sovereign ngc ms63, 1857 sy 12 sovereign australia pcgs xf 45, 1824 great britain sovereign in ngc holder au 50, 1878m australia sovereign pcgs au58, 2011 gold great britain 14 sovereign coin pcgs proof 70 deep cameofirst strike, australia 2005 gold sovereign $25 ngc gem proof 150th anniversary firstsovereign, 1889 great britain sovereign km 767 circulated, gold king edward vii sovereign bu 1908p specific dateauthentic old pre ww1 , great britain1984 uncirculated gold five sovereign coin, great britain1980 proof gold half sovereign , 1908 great britain 22k gold coin sovereign edward vii great luster, 1912 england gold coin 12 sovereign george v london au unc, 2002 great britain uk half sovereign shield back gold coin qe jubilee assay card, 1981 great britain gold sovereign coin elizabeth ii proof low mintage, 1910 king edward vii full sovereign gold coin 14 oz, great britain 1871 gold sovereign icg ms63 young head shield reverse die 28, 1880 m australia gold sovereign coin nice, great britain 1871 gold 12 sovereign ngc ms62 scarce only 1 graded higher, 1870 australian gold sovereign type ii scarce ngc au58, great britain 1836 one sovereign gold coin 1sov xf details surface hairlines ngc, australia gold sovereign 1875s st george au58, goldgreat britain 12 sovereign 1899, 2016 great britain gold proof full sovereign coin pcgs pr69 james butler pop 2, 1887 british queen victoria jubilee head gold half sovereign coin pcgs ms65, lt great britain av sovereign 1864 ngc au 58 scarce date , uk 1850 half sovereign victoria f, 1908 edward vii sovereign gold coin london mint luster superb, 1907 king edwardvs vii st george great britain full sovereign 8 grams gold coin, 1865 australia queen victoria beautiful gold sovereign coin pcgs au55, 460000 great britain victoria sovereign 1871 gold km752, 460001 australia victoria sovereign 1880 sydney gold km7, 460003 australia victoria sovereign 1898 melbourne gold km13, 460002 australia victoria sovereign 1891 melbourne gold km10, 460004 australia victoria sovereign 1899 perth gold km13, 1966 queen elizabeth ii great britain gold sovereign brilliant uncms ce94, australia 1907s gold sovereign ngc ms63 sydney mint, 1896 great britain gold sovereign queen victoria veiled head au condition, great britain 1852 gold 1 sovereign extremely fine ef xf shield type, great britain 1853 gold 1 sovereign extremely fine ef xf shield type raised ww, great britain 1872 gold 1 sovereign extremely fine ef xf shield type, rare date 1865s victoria sydney mint gold coin sovereign , great britain 1864 gold 1 sovereign extremely fine ef xf shield type die 93, great britain 1869 gold 1 sovereign extremely fine ef xf shield type die 45, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 23, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 26, australia 1901 melbourne mint full sovereign queen victoria , great britain 1872 gold 1 sovereign extremely fine ef xf shield type die 74, australia 1877s full gold sovereignsheild reverse queen victoria , 2015 struck on day second birthday prince george gold full sovereign coin coa, 1912 great britain uncirculated gold sovereign ngc ms64 155391, 1931sa south africa uncirculated gold sovereign ngc ms64 141995



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