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In mathematics, Shephard's problem, is the following geometrical question asked by Geoffrey Colin Shephard in 1964: if K and L are centrally symmetric
Shephard's_problem
tied into it? Does every convex polyhedron have Rupert's property? Shephard's problem (a.k.a. Dürer's conjecture) – does every convex polyhedron have a
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
British mathematician (1927–2016)
He asked Shephard's problem on the volumes of projected convex bodies, posed another problem on polyhedral nets, proved the Shephard–Todd theorem in invariant
Geoffrey_Colin_Shephard
Family name
artist Sidney Shephard (1894–1953), British politician Shephard Mayer (1923–2005), Canadian ice hockey player Shephard's lemma Shephard's problem Chevalley–Shephard–Todd
Shepherd_(name)
Problem in convex geometry
Schlumprecht (1999) gave a uniform solution for all dimensions. Shephard's problem Ball, Keith (1988), "Some remarks on the geometry of convex sets"
Busemann–Petty_problem
On surrounding polygons by layers of copies
corresponding problem in the hyperbolic plane, the Heesch number may be arbitrarily large. Heesch (1968), as cited by Grünbaum & Shephard (1987) and Fontaine
Heesch's_problem
Edge-joined polygons which fold into a polyhedron
Unsolved problem in mathematics Does every convex polyhedron have a simple edge unfolding? More unsolved problems in mathematics In 1975, G. C. Shephard asked
Net_(polyhedron)
American breed of dog
noted by owners were eye problems (red eye, epiphora, conjunctivitis, and cataracts). Dermatological and respiratory problems also ranked high. The Australian
Australian_Shepherd
and Schneider (1967) used projection bodies in their solution to Shephard's problem. For K {\displaystyle K} a convex body, let Π ∘ K {\displaystyle \Pi
Projection_body
Square tiles with a color on each edge
halting problem (the problem of testing whether a Turing machine eventually halts) then implies the undecidability of Wang's tiling problem. Combining
Wang_tile
Lemma
Shephard's lemma is a result in microeconomics having applications in the theory of the firm and in consumer choice. The lemma states that if indifference
Shephard's_lemma
German breed of dog
also recommends testing for haemophilia and hip dysplasia, other common problems with the breed. German Shepherds have been featured in a wide range of
German_Shepherd
German mathematician
of Salzburg in 2004. Rolf Schneider is known for his solution of Shephard's problem, his books on stochastic and integral geometry in long-standing collaboration
Rolf_Schneider
economics that describes the Minkowski addition of sets in a vector space Shephard's problem - a geometrical question Simplex - a generalization of the notion
List_of_convexity_topics
Mathematical problem
Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer
Squaring_the_square
Existence of a line through two points
all of them. It is named after James Joseph Sylvester, who posed it as a problem in 1893, and Tibor Gallai, who published one of the first proofs of this
Sylvester–Gallai_theorem
Covering by shapes without overlaps or gaps
if, the Turing machine does not halt. Since the halting problem is undecidable, the problem of deciding whether a Wang domino set can tile the plane
Tessellation
American reality television series
season 3, Sardinia (Italy) in season 4 and Ibiza (Spain) in season 5. Glenn Shephard — Captain Byron Hissey — Chief Engineer Paget Berry — First Officer Adam
Below_Deck_Sailing_Yacht
American street artist and activist (born 1970)
artists. O'Donoghue later posted an article, titled "Shepard Fairey’s Image Problem", on several independent media sites. O' Donoghue explored Fairey's use
Shepard_Fairey
Mathematics book
patterns is a book by mathematicians Branko Grünbaum and Geoffrey Colin Shephard published in 1987 by W.H. Freeman. The book was 10 years in development
Tilings_and_patterns
Association football club in London, England
their relegation from the top-flight in 1998. This was due to financial problems which saw Palace go into administration twice, in 1999 and 2010. They steadily
Crystal_Palace_F.C.
American politician (born 1969)
2022. Shephard, Alex; Bacharach, Jacob; Bacharach, Jacob; Shiner, Meredith; Shiner, Meredith; Linkins, Jason; Linkins, Jason; Shephard, Alex; Shephard, Alex
John_Fetterman
Mathematical spiral tiling
with Form eines Neunecks eine Lösung zu einem Problem von Reinhardt ["On a nonagon as a solution to a problem of Reinhardt"]. Voderberg tiling is monohedral
Voderberg_tiling
System that relates geologic strata to time
Dalrymple, G. Brent (2001). "The age of the Earth in the twentieth century: a problem (mostly) solved". Special Publications, Geological Society of London. 190
Geologic_time_scale
Tool for managing livestock
route. This variant, which has a prevalence of about 5%, imposes technical problems in angioplasty procedures. The letter lamed originated as a representation
Shepherd's_crook
Natural number
Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. Currently, six of the problems remain unsolved
7
1999 video game
Hazardous Environment Combat Unit (HECU). The player character, Adrian Shephard, is sent in to neutralize the Black Mesa Research Facility when a scientific
Half-Life:_Opposing_Force
Huey family of American military utility helicopters
control system. The four-member flight crew attempted to deal with the problem, but due to the very low altitude, the incident resulted in a crash.
Bell_UH-1_Iroquois
American college football season
Retrieved December 3, 2025. Antonik, John (November 1, 2025). "Houston Had a Problem". wvusports.com. West Virginia University. Retrieved December 3, 2025.
2025 NCAA Division I FBS football season
2025_NCAA_Division_I_FBS_football_season
which causes viewership to decrease, though clarified that he has "no problem with a comic book movie". As a solution to the lack of "investment in the
Cinema_of_the_United_States
Educational curriculum used in England since 1988
as an opportunity to promote cultural and moral values. Under Gillian Shephard's tenure as Education Secretary, a review of the National Curriculum was
National Curriculum for England
National_Curriculum_for_England
British crime drama television series (2014–2023)
what local police in the Calder Valley call the area because of its drug problem. In the first episode of series one, Ryan points out to Catherine, visiting
Happy_Valley_(TV_series)
American television series (2004–2010)
on what seems to be an uninhabited tropical island. Spinal surgeon Jack Shephard becomes their leader. Their survival is threatened by a number of mysterious
Lost_(TV_series)
Chinese stealth fighter aircraft
original on 9 July 2021. Retrieved 8 July 2021. Axe, David (3 January 2019). "Problem: China's J-20 Stealth Fighter Doesn't Have a Gun". The National Interest
Chengdu_J-20
American businessman and philanthropist (born 1955)
existential threat to civilization, stating that while it remains a serious problem, it was more important to give money to other causes such as solving poverty
Bill_Gates
American actor (born 1962)
manosphere. In 2004, McCarthy announced that he once had a serious alcohol problem, which began at age 12. He entered a detoxification program in 1992, and
Andrew_McCarthy
Non-periodic tiling of the plane
colored edges, now known as Wang dominoes or tiles, and posed the "Domino Problem": to determine whether a given set of Wang dominoes could tile the plane
Penrose_tiling
Difesa. Retrieved 19 August 2025. "The Italian Army's ambitious IFV plan | Shephard". www.shephardmedia.com. Retrieved 2024-06-14. Technologies, Italian Defence
List of equipment of the Italian Army
List_of_equipment_of_the_Italian_Army
British television series
May 2020. Retrieved 13 April 2020. Busby, Mattha (18 July 2018). "The problem with Love Island – by the people who turned it down". The Guardian. Archived
Love_Island_(2015_TV_series)
Generalization of a polytope in real space
polytope the symmetry group (here a complex reflection group, called a Shephard group) acts transitively on the flags, that is, on the nested sequences
Complex_polytope
American cable television news channel
original on November 15, 2019. Retrieved January 18, 2021. Shephard, Alex (August 6, 2020). "The Problem With MSNBC Isn't That It's Too Liberal". The New Republic
MS_NOW
Fictional character of the TV series Lost
past as a research specialist recruited to solve the Island's fertility problem where pregnant women die after conception. Prevented from leaving the Island
Juliet_Burke
American lawyer and politician (born 1957)
by moderate Republicans who run the Senate! Their problem is not me and the Democrats; their problem is themselves. Who are they? Are they these extreme
Andrew_Cuomo
Series of SUV models
Designer, Dies at 85". The New York Times. Retrieved 23 February 2016. Shephard, Dave. "The History of the Range Rover Marque". Archived from the original
Range_Rover
English media personality, actress and singer (born 1971)
series Hearts and Bones with Damian Lewis, the Jonathan Creek episode "The Problem at Gallowes Gate", and a Boxing Day special Agatha Christie's Marple episode
Amanda_Holden
"DSA 2022: Malaysian UNIFIL contingent to receive Ejder Yalçin 4x4s | Shephard". "Malaysian Defence - The More The Merrier". "Appreciation Parade for
List of equipment of the Malaysian Army
List_of_equipment_of_the_Malaysian_Army
Family of interceptor and reconnaissance aircraft
wartime and was studied on both sides of the Iron Curtain. The perennial problem with engines dedicated to vertical lift is they become mere dead weight
Mikoyan-Gurevich_MiG-25
Family of multi-role combat aircraft
Fish, Tim (16 July 2014). "Farnborough: Tornado will go out in style". Shephard Media. "Libya: UK planes to be deployed." BBC News, 18 April 2011. "Libya:
Panavia_Tornado
Transport aircraft family by Dornier
February 2016). "Singapore Airshow: Dornier 228 production ramps uu". Shephard Media. Retrieved 1 June 2017. Batey, Angus (15 June 2015). "RUAG, Dornier
Dornier_228
2011 American science fiction crime drama television series
privacy and "the greater good", the concept of justifiable homicide, and problems caused by working with limited information programs. Person of Interest
Person of Interest (TV series)
Person_of_Interest_(TV_series)
American actor and director
Year Title Role Notes 1967 Dragnet 1967 Billy Jones Episode: "The Big Problem" 1968 Judd, for the Defense Harry Crews Episode: "The Ends of Justice" 1968
Georg_Stanford_Brown
Possible degenerative disease
Brunswick Public Health (NBPH) website include memory problems, muscle spasms, balance problems, difficulty walking or falls, blurred vision or visual
New Brunswick neurological syndrome of unknown cause
New_Brunswick_neurological_syndrome_of_unknown_cause
British and American comedian (born 1977)
2018 to 2019, Oliver worked as an executive producer for Wyatt Cenac's Problem Areas. On 30 August 2023, Oliver began hosting the comedy podcast Strike
John_Oliver
Shape bounded by non-intersecting line segments
Simple polygons are commonly seen as the input to computational geometry problems, including point in polygon testing, area computation, the convex hull
Simple_polygon
Expand description
assault and pay a small fine so he can avoid jail time. This becomes a problem when the shoving victim later goes into a coma and dies. Benny asks Bull
List of Bull (2016 TV series) episodes
List_of_Bull_(2016_TV_series)_episodes
former Cabinet ministers Estelle Morris, Paul Boateng, Chris Smith, Gillian Shephard, Virginia Bottomley and Michael Portillo; the Father of the House of Commons
2005 United Kingdom general election
2005_United_Kingdom_general_election
at the Wayback Machine, Jian Junbo, Asia Times, 9 October 2009. Jessica Shephard (2007), 'Not a propaganda tool': China's Confucius Institutes are proliferating
Criticism of Confucius Institutes
Criticism_of_Confucius_Institutes
Ian; Nanji, Noor (16 February 2024). "This Morning: Cat Deeley and Ben Shephard replace Holly Willoughby and Phillip Schofield". BBC News. BBC. Retrieved
2024_in_British_television
Earth Band 48 February 6, 2000 Stroud, Gloucestershire, England Liver problems Dave Peverett Foghat 56 February 7, 2000 Orlando, Florida, U.S. Renal cancer
List of 2000s deaths in popular music
List_of_2000s_deaths_in_popular_music
American online newsletter platform
publication of extremist views because attempting to censor them would make the problem worse. Creators like Casey Newton, Molly White, and Ryan Broderick left
Substack
2023 maritime disaster
Adrienne Mahsa; Aronoff, Kate; Otten, Tori; Shephard, Alex; Otten, Tori; Otten, Tori; Otten, Tori; Shephard, Alex (1 November 2022). "Missing Titanic Sub
Titan_submersible_implosion
Polyhedron which tiles 3D space
tile space (such as various polycubes). Hilbert's eighteenth problem, one of Hilbert's problems, consisting of three subproblems, one of which is a three-dimensional
Space-filling_polyhedron
Proposed method of financing higher education
with several other LSE economists. In 1968, Glennerster had identified problems with the higher education system which was at that time funded almost exclusively
Graduate_tax
2014 book by Yuval Harari
review: 'urgent questions'". The Telegraph. Retrieved 29 October 2014. Ben Shephard. Sapiens: A Brief History of Humankind review – thrilling story, dark message
Sapiens: A Brief History of Humankind
Sapiens:_A_Brief_History_of_Humankind
American actress (born 1980)
beautiful, and people seem like they don't have any problems, but everyone's human. Everyone has problems. Everyone feels yucky on the inside sometimes."
Kristen_Bell
American political commentator (born 1961)
and reflects the irresistible temptation to attribute African American problems to a history of white racist oppression." A reviewer for The Journal of
Dinesh_D'Souza
Canadian woman convicted of manslaughter and ex-wife of Paul Bernardo (born 1970)
80 km northeast of Montreal. In 1999, Toronto Star reporter Michelle Shephard came into possession of copies of her application to transfer to the Maison
Karla_Homolka
appropriately accounting for the Birthdate Problem, and discuss the implications of the Birthdate Problem for the debate over double voting and the means
Electoral fraud in the United States
Electoral_fraud_in_the_United_States
Private liberal arts university in Austin, Texas
announced in October of 2021, billed as a new institution that could address problems in higher education. The announcement was met with significant media attention
University_of_Austin
Moroccan former War on Terror detainee
coveralls. Smith said that Rashidi had already had mental and emotional problems prior to being sent to the camp. Rashidi did not attend his Combatant Status
Ahmed_Errachidi
"Supporting roles – why forward repair systems are an in-demand capability | Shephard". plus.shephardmedia.com. Retrieved 31 January 2025. "FRSN – FORWARD REPAIR
List of equipment of the Royal Danish Army
List_of_equipment_of_the_Royal_Danish_Army
Geometry problem on tiling by hypercubes
higher dimensions. The proofs of these results use a reformulation of the problem in terms of the clique number of certain graphs now known as Keller graphs
Keller's_conjecture
Sino-Pakistani multirole fighter aircraft
2022. Retrieved 19 May 2022. "Malaysia puts pen to paper for LCA tender | Shephard". www.shephardmedia.com. Retrieved 19 May 2022.[permanent dead link] "Malaysia
CAC/PAC_JF-17_Thunder
Major event in the run-up to the 2024 United states presidential election
18, 2024. Retrieved July 16, 2024. Bidgood, Jess (July 1, 2024). "The Problem in Plain Sight". The New York Times. Retrieved March 22, 2025. Garrison
Withdrawal of Joe Biden from the 2024 United States presidential election
Withdrawal_of_Joe_Biden_from_the_2024_United_States_presidential_election
American battle rifle
adversely affecting accuracy. Fiberglass stocks were produced to resolve this problem, but the rifle was discontinued before the fiberglass stocks could be distributed
M14_rifle
American maritime patrol aircraft
February 2021. "Canada orders 14 Poseidon P-8A maritime patrol aircraft | Shephard". www.shephardmedia.com. Retrieved 16 June 2024. "Boeing: Orders and Deliveries
Boeing_P-8_Poseidon
Subdivision of the plane into polygons that are all regular
triangles and a single regular hexagon. However, this notation has two main problems related to ambiguous conformation and uniqueness. First, when it comes
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
Flat-sided three-dimensional shape
characteristics and the solution for the Seven Bridges of Königsberg's problem, underlying the field of topology. Johannes Kepler discovered two non-convex
Polyhedron
Political party in the United States
Party Has a Nazi Problem". The Atlantic. Retrieved May 9, 2026. Avlon, John (March 13, 2026). "The Republican Party's Nazi Problem Is Getting Worse.
Republican Party (United States)
Republican_Party_(United_States)
Christian monastic denomination
James Whittaker, father and son John Hocknell and Richard Hocknell, James Shephard, and Mary Partington traveled to colonial America and landed in New York
Shakers
Israeli military technology company
DA-Group to offer GNSS immune technology – DB – Digital Battlespace – Shephard Media". www.shephardmedia.com. Retrieved November 19, 2019. Fortin, Matt
Elbit_Systems
People associated with professional wrestling who died before age 65
Retrieved April 4, 2019. It's not a new story, but WWE hasn't fixed the problem. Haysom, Sam (April 2, 2019). "John Oliver's 20-minute rant about the way
List of premature professional wrestling deaths
List_of_premature_professional_wrestling_deaths
American defense technology company
products are used for reconnaissance in close-quarters combat and solving problems like room-clearing and fatal funnel. Nova is an autonomous quadcopter drone
Shield_AI
European ethnic group
discerning between 'pagan' and 'Christian' burials does not pose much of a problem and that a threshold of change exists. Today it is clear that the story
Rus'_people
1994 multi-role combat aircraft family by Eurofighter
a "GUN FAIL" warning legend. During the debrief it transpired that the problem was well known to both the pilots and ground crews. In 2002, Austria selected
Eurofighter_Typhoon
American children's television program
self-confident, he is often convinced he doesn't need any advice or help with his problems, but he always ends up needing it after all. Leona Lion is Theo and Cleo's
Between_the_Lions
British business magnate (born 1930)
five seconds too slow to make the field, and complained about handling problems. Ecclestone drove the #12 car to verify the statements, and was registered
Bernie_Ecclestone
Islands (Disputed between Vanuatu and France so it could be in here or not) Shephard Islands Torres Islands Caroline Islands Faichuk Islands Nomiwisofo Group
List_of_archipelagos
American politician (born 1965)
Archived from the original on February 4, 2015. Retrieved February 3, 2015. Shephard, Aria (June 30, 2008). "Hate Free Zone gets new name, OneAmerica, With
Pramila_Jayapal
Finnish rifle cartridge
pressure limit before undergoing plastic deformation. Lapua tackled this problem by creating a hardness distribution ranging from the head and web (hard)
.338_Lapua_Magnum
from the original on 31 July 2023. Retrieved 31 July 2023. "No Army, No Problem: Iceland's Aid To Ukraine". Oryx. 20 July 2023. Archived from the original
List of military aid to Ukraine during the Russo-Ukrainian war
List_of_military_aid_to_Ukraine_during_the_Russo-Ukrainian_war
technical problem occurred with an Iron Dome interceptor missile, causing it to miss the rocket launched from the Gaza Strip and that the problem was likely
Timeline of the Israeli–Palestinian conflict in 2023
Timeline_of_the_Israeli–Palestinian_conflict_in_2023
Series of Israeli main battle tanks
Gordon (July 15, 2022). "Merkava-based AVLBs reach the Philippines". Shephard Media. Retrieved July 15, 2022. Fabian, Emanuel (June 15, 2023). "In first
Merkava
American surface-to-air missile system since 1981
Two weeks earlier, on February 11, 1991, the Israelis had identified the problem and informed the U.S. Army and the PATRIOT Project Office, the software
MIM-104_Patriot
Natural number
Integer Sequences. OEIS Foundation. Retrieved 2016-06-01. Grünbaum, Branko; Shephard, G. C. (1987). "Section 2.1: Regular and uniform tilings". Tilings and
12_(number)
Variety. Retrieved May 13, 2026. Bitran, Tara (May 31, 2024). "3 Body Problem Will Return For Seasons 2 and 3". Tudum. Archived from the original on
List of Netflix original programming
List_of_Netflix_original_programming
Concept in microeconomics
from the Utility Maximization Problem, Hicksian Demand comes from the Expenditure Minimization Problem. The two problems are mathematical duals, and hence
Hicksian_demand_function
States of matter for water as a solid
lattice points, but the hydrogen atoms are located on the lattice edges. The problem is to pick one end of each lattice edge for the hydrogen to bond to, in
Phases_of_ice
Rigid standard to ensure ideological purity
2022-10-18. Zarook, Ruqaiyah (June 9, 2021). "Jean-Paul Sartre and the Problem of Being "Progressive Except for Palestine"". Current Affairs. Retrieved
Purity_test_(politics)
Multi-role helicopter family by AgustaWestland
Tony (28 September 2012). "Merlin Mk2 puts to sea for the first time". Shephard Media. Archived from the original on 16 October 2012. Jane's Defence Weekly
AgustaWestland_AW101
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
Boy/Male
Australian, British, English
Shepherd
Boy/Male
American, British, English
Shepherd
Boy/Male
Latin
Shepherd.
Boy/Male
Hindu, Indian
Charming; Delightful
Boy/Male
British, English, Jamaican
Shepherd
Boy/Male
English
Shepherd
Surname or Lastname
English
English : variant spelling of Shepherd.
Boy/Male
British, English
Shepherd
Boy/Male
American, Anglo, British, English
Shepherd
Surname or Lastname
English
English : variant spelling of Shepherd.
Surname or Lastname
English
English : from Middle English schepherde ‘shepherd’ (composed of words meaning ‘sheep’ + ‘herdsman’ or ‘guardian’), hence an occupational name for a shepherd. This English form of the name has absorbed cognates and equivalents from several other languages (for forms, see Hanks and Hodges 1988).
Boy/Male
British, English
Shepherd
Boy/Male
Irish
Shepherd.
Surname or Lastname
English
English : variant spelling of Shepherd.
Boy/Male
English
Shepherd.
Boy/Male
Hindu
Delightful
Boy/Male
Basque
Shepherd.
Boy/Male
Anglo, British, English
Shepherd
Boy/Male
Muslim
Shepherd
Surname or Lastname
English
English : variant spelling of Shepherd.Americanized form of some Jewish surname sounding like or meaning ‘shepherd’.
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
Female
Welsh
 Diminutive form of Welsh Alis, ALISON means "noble sort." Compare with another form of Alison.
Girl/Female
Tamil
With a good voice
Girl/Female
Teutonic German
Battle maiden.
Girl/Female
Indian
A wish, An aspiration
Biblical
brother of death
Boy/Male
Celtic American English Irish Welsh
From the fortress.
Boy/Male
Hindu
Strong
Boy/Male
Sikh
Absorbed in gods name
Boy/Male
Hindu, Indian, Marathi
Warrior of the Guru
Boy/Male
Indian, Sanskrit
Virtuous Man; Glad or Joyful
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
SHEPHARDS PROBLEM
n.
A poem describing the life and manners of shepherds; a poem in which the speakers assume the character of shepherds; an idyl; a bucolic.
n.
A shepherd; one who has the care of flocks and herds.
n.
Resembling a shepherd; suiting a shepherd; pastoral.
a.
Of or pertaining to shepherds; hence, relating to rural life and scenes; as, a pastoral life.
n.
A gray plaid; -- used by shepherds in Scotland.
p. p. & a.
Clothed; arrayed; dressed; as, he was habited like a shepherd.
n.
The conductir of a mule team; also, a head shepherd.
a.
Resembling, or becoming to, a shepherd; pastoral; rustic.
n.
A silicle, or short pod, as of the shepherd's purse.
n.
A little shepherd.
a.
Of or pertaining to the life and occupation of a shepherd; pastoral; rustic.
n.
The pastor of a church; one with the religious guidance of others.
p. pr. & vb. n.
of Shepherd
n.
The god of shepherds, guardian of bees, and patron of fishing and hunting. He is usually represented as having the head and trunk of a man, with the legs, horns, and tail of a goat, and as playing on the shepherd's pipe, which he is said to have invented.
v. i.
To act as a herdsman or a shepherd.
n.
A hut or shelter for shepherds of fishers. See Sheeling.
n.
A man employed in tending, feeding, and guarding sheep, esp. a flock grazing at large.
v. t.
To tend as a shepherd; to guard, herd, lead, or drive, as a shepherd.
n.
A hook fastened to pole, by which shepherds lay hold on the legs or necks of their sheep; a shepherd's crook.
imp. & p. p.
of Shepherd