240,404 Result(s)
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Chapter
Triangle-Free 5-Chromatic Unit Distance Graphs
Of course, I enjoyed constructions of Mosers-Spindle-free 5-chromatic graphs in the previous chapter. However, they included numerous unit triangles, and I asked for more in my 2019 problem paper [Soi46].
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Chapter
7- and 8-Chromatic Two-Distance Graphs
This chapter is short as it awaits your research, which I hope to see in the not-too-distant future.
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Chapter
Curriculum Vitae for László Lovász
Born: March 9, 1948 in Budapest, Hungary
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Chapter
Curriculum Vitae for Robert Phelan Langlands
Born: October 6, 1936 in New Westminister, British Columbia, Canada
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Chapter
Curriculum Vitae for Dennis Parnell Sullivan
Born: February 12, 1941 in Port Huron, Michigan, USA
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Chapter
Patchwork
Look, there are a lot of patchwork quilts here. Making patchwork quilts is the process of sewing different shapes (and designs) of pieces of cloths together to make one connected cloth, right?
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Chapter
Jakob Henle
Friedrich Gustav Jakob Henle nait à Fürth (Bavière). Après des études de médecine à Bonn et Heidelberg, il enseigne la pathologie et l’anatomie à Zurich, Heidelberg et Göttingen. Il décède en 1885 à Göttingen.
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Chapter
Curriculum Vitae for Karen Keskulla Uhlenbeck
Born: August 24, 1942 in Cleveland, Ohio, USA
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Chapter
Cross-Sections of Polyhedra
Kyuta visits his friend who was in hospital.
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Chapter
Nets of Small Solids with Minimum Perimeter Lengths
Gen In our city, the waste treatment center from each ward office sends a garbage truck every other day to the houses in the area to collect garbage. On those days, we sort out garbage into recyclable, non-burnab...
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Chapter
Bees, Pomegranates and Parallelohedra
Gen Let’s start our discussion with this box which I intend to fill in with as many cans as possible. Look, it is filled with 40 cans already (Fig. 15.1.1). ButI’d still like to add one more can in here [1, 16]. ...
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Chapter
Curriculum Vitae for Grigoriy Aleksandrovich Margulis
Born: February 24, 1946 in Moscow, USSR (Russia)
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Chapter
Elements of Polygons and Polyhedra
In this chapter, I’d like to show you the building blocks for Platonic solids. We can call them ‘elements’, in the same way that in chemistry, materials are made up of, or synthesized from chemical elements. I...
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Chapter
Curriculum Vitae for Avi Wigderson
Born: September 9, 1956 in Haifa, Israel
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Chapter
Platonic Solids
The ancient Greek philosopher Plato loved five special polyhedra. These were the solids with equivalent faces composed of congruent regular convex polygons. Today, we know them as Platonic solids; and there ar...
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Chapter
Symmetry of Platonic Solids
Gen Platonic solids have many beautiful properties, because they are highly symmetric. Remember the ones we discussed in the previous chapter? Now, I will show you a few more results which relate to the symmetry ...
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Chapter
Double Duty Solids
Kyu I need a cold drink; would you want one?
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Chapter
Tessellation Polyhedra
Gen Among the infinitely many convex polyhedra that exist, there are some whose faces are all regular polygons. They are called “regular faced polyhedra” (RFP for short). Can you guess how many such polyhedra the...
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Chapter
Wrapping a Box
Gen Hi, Kyuta. What are you doing?
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Chapter
Curriculum Vitae for Hillel Furstenberg
Born: September 29, 1935 in Berlin, Germany
