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:

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
UK 1989 2 SOVEREIGN PROOF GOLD COIN W NGC PF69
UK 1989 2 SOVEREIGN PROOF GOLD COIN W NGC PF69
$1,688.88
1989 UK Great Britain Gold Proof Half Sovereign Coin W NGC PF70
1989 UK Great Britain Gold Proof Half Sovereign Coin W NGC PF70
$2,888.88
1986  1987 Great Britain 3 Gold Sovereign Coins Set W PCGS PR69
1986 1987 Great Britain 3 Gold Sovereign Coins Set W PCGS PR69
$3,688.88
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
1896GOLD SOVEREIGN OLD PORTRAIT GREAT BRITAIN 8 GRAMS
1896GOLD SOVEREIGN OLD PORTRAIT GREAT BRITAIN 8 GRAMS
$362.00
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
1829 English Sovereign in PCGS Holder
1829 English Sovereign in PCGS Holder
$3,500.00
1842 G Britain 1Sovereign in NGC Holder AU 55
1842 G Britain 1Sovereign in NGC Holder AU 55
$2,000.00
1862 Australia 1 Sovereign in NGC Holder
1862 Australia 1 Sovereign in NGC Holder
$3,200.00
1903 M Australia Sovereign PCGS MS61 Melbourne S 3971
1903 M Australia Sovereign PCGS MS61 Melbourne S 3971
$399.99
Great Britain 1925 Gold Sovereign NGC MS 63
Great Britain 1925 Gold Sovereign NGC MS 63
$474.99
1885M VICTORIA GOLD FULL SOVEREIGN COIN
1885M VICTORIA GOLD FULL SOVEREIGN COIN
$323.23
1857 SY 1 2 Sovereign Australia PCGS XF 45
1857 SY 1 2 Sovereign Australia PCGS XF 45
$9,000.00
1886S VICTORIA GOLD FULL SOVEREIGN COIN PCGS AU58
1886S VICTORIA GOLD FULL SOVEREIGN COIN PCGS AU58
$320.35
1824 Great Britain Sovereign in NGC Holder AU 50
1824 Great Britain Sovereign in NGC Holder AU 50
$3,900.00
1870S AUSTRALIA GOLD FULL SOVEREIGN COIN
1870S AUSTRALIA GOLD FULL SOVEREIGN COIN
$407.83
1886M VICTORIA GOLD FULL SOVEREIGN COIN
1886M VICTORIA GOLD FULL SOVEREIGN COIN
$322.81
1878 M Australia Sovereign PCGS AU58
1878 M Australia Sovereign PCGS AU58
$595.00
1886M VICTORIA GOLD FULL SOVEREIGN COIN NGC AU58
1886M VICTORIA GOLD FULL SOVEREIGN COIN NGC AU58
$319.11
1918I GEORGE V GOLD FULL SOVEREIGN COIN PCGS MS64
1918I GEORGE V GOLD FULL SOVEREIGN COIN PCGS MS64
$388.11
1884M VICTORIA GOLD FULL SOVEREIGN COIN PCGS MS61
1884M VICTORIA GOLD FULL SOVEREIGN COIN PCGS MS61
$338.83
1887M VICTORIA GOLD FULL SOVEREIGN COIN PCGS MS62+
1887M VICTORIA GOLD FULL SOVEREIGN COIN PCGS MS62+
$359.77
RARE 1879S VICTORIA GOLD FULL SOVEREIGN COIN
RARE 1879S VICTORIA GOLD FULL SOVEREIGN COIN
$314.19



List Of Recently Purchased Sovereign Gold:


australia george v gold sovereign 1912s ms65 ngc sydney, 1931sa south africa sovereign 1 sov south african gold coin anacs ms63, uk 1989 2 sovereign proof gold coin wngc pf69, 1989 uk great britain gold proof half sovereign coin wngc pf70, 1986 amp; 1987 great britain 3 gold sovereign coins set wpcgs pr69 , 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, 1896gold sovereign old portrait great britain 8 grams, 2000 great britain gold sovereign ms67 pcgs uk millennium first strike km1002, 1911s australia sovereign pcgs ms63 s4003, 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, 1885m victoria gold full sovereign coin, 1857 sy 12 sovereign australia pcgs xf 45, 1886s victoria gold full sovereign coin pcgsau58, 1824 great britain sovereign in ngc holder au 50, 1870s australia gold full sovereign coin, 1886m victoria gold full sovereign coin, 1878m australia sovereign pcgs au58, 1886m victoria gold full sovereign coin ngcau58, 1918i george v gold full sovereign coin pcgsms64, 1884m victoria gold full sovereign coin pcgsms61, 1887m victoria gold full sovereign coin pcgsms62, rare 1879s victoria gold full sovereign coin, 2011 gold great britain 14 sovereign coin pcgs proof 70 deep cameofirst strike, scarce 1864 australia gold full sovereign coin, australia 2005 gold sovereign $25 ngc gem proof 150th anniversary firstsovereign, 1889 great britain sovereign km 767 circulated, 1908 great britain 22k gold coin sovereign edward vii great luster, 1912 england gold coin 12 sovereign george v london au unc, 1489 1989 500th anniversary gold proof sovereign three coin set, 1981 great britain gold sovereign coin elizabeth ii proof low mintage, 1889 queen sovereign great britain 917 gold 2354 agw, australia 1879m victoria gold sovereign st george pcgc ms62, australia sovereign victoria young head 1870, great britain victoria young head 1860 half sovereign, 1905 m australia gold sovereign s3971 pcgs au 58 secure plus, great britain 1871 gold sovereign icg ms63 young head shield reverse die 28, 1880 m australia gold sovereign coin nice, 2017 gold proof full sovereign w box amp; coa 00052 super early minted coin, 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, uk 1847 sovereign victoria vf, 1908 edward vii sovereign gold coin london mint luster superb, uk 1848 sovereign victoria vf, uk 1853 sovereign victoria vf, 1907 king edwardvs vii st george great britain full sovereign 8 grams gold coin, great britain george vi 1937 proof half sovereign ngc pf65 choice, 1865 australia queen victoria beautiful gold sovereign coin pcgs au55, 1986 great britain half 12 sovereign gold ngc pf69 pr69 , 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, australia 1886m young victoria gold sovereign high grade , australia 1907s gold sovereign ngc ms63 sydney mint, 1896 great britain gold sovereign queen victoria veiled head au condition, 1918i british india sovereign gold , great britain sovereign gold coin au 1928 , 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, 1911 gold full sovereign george v, 2015 gold full sovereign unc, 1893 s gold full sovereign jubilee head, 1989 uk sovereign 500th anniversary 3 gold coin set wngc pf696869 , 1989 uk 500th anniversary 3 gold sovereign coins set wpcgs pr686768 , 1887 m gold full sovereign jubilee head, 1874 s gold full sovereign young head, 1902 p gold full sovereign edward vii, great britain 1864 gold 1 sovereign extremely fine ef xf shield type die 93, 1925 sa gold full sovereign george v high grade, great britain 1869 gold 1 sovereign extremely fine ef xf shield type die 45, full gold sovereign 1957 queen elizabeth ii coin, 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



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