Template:Regular tetracomb table/sandbox

Spherical/Euclidean/hyperbolic(compact/paracompact/noncompact) honeycombs with their Schläfli symbol {p,q,r,s}

q \ s

3

4

5

3

q=3, s=3
p \ r	3	4	5
3	{3,3,3,3} spherical	{3,3,4,3} Euclidean	{3,3,5,3} noncompact
4	{4,3,3,3} spherical	{4,3,4,3} paracompact	{4,3,5,3} noncompact
5	{5,3,3,3} compact	{5,3,4,3} noncompact	{5,3,5,3} noncompact

q=3, s=4
p \ r	3	4	5
3	{3,3,3,4} spherical	{3,3,4,4} noncompact	{3,3,5,4} noncompact
4	{4,3,3,4} Euclidean	{4,3,4,4} noncompact	{4,3,5,4} noncompact
5	{5,3,3,4} compact	{5,3,4,4} noncompact	{5,3,5,4} noncompact

q=3, s=5
p \ r	3	4	5
3	{3,3,3,5} compact	{3,3,4,5} noncompact	{3,3,5,5} noncompact
4	{4,3,3,5} compact	{4,3,4,5} noncompact	{4,3,5,5} noncompact
5	{5,3,3,5} compact	{5,3,4,5} noncompact	{5,3,5,5} noncompact

4

q=4, s=3
p \ r	3	4	5
3	{3,4,3,3} Euclidean	{3,4,4,3} noncompact	{3,4,5,3} noncompact
4	{4,4,3,3} noncompact	{4,3,4,3} noncompact	{4,3,5,3} noncompact
5	{5,4,3,3} noncompact	{5,4,4,3} noncompact	{5,4,5,3} noncompact

q=4, s=4
p \ r	3	4	5
3	{3,4,3,4} paracompact	{3,4,4,4} noncompact	{3,4,5,4} noncompact
4	{4,4,3,4} noncompact	{4,4,4,4} noncompact	{4,4,5,4} noncompact
5	{5,4,3,4} noncompact	{5,4,4,4} noncompact	{5,4,5,4} noncompact

q=4, s=5
p \ r	3	4	5
3	{3,4,3,5} noncompact	{3,4,4,5} noncompact	{3,4,5,5} noncompact
4	{4,4,3,5} noncompact	{4,4,4,5} noncompact	{4,4,5,5} noncompact
5	{5,4,3,5} noncompact	{5,4,4,5} noncompact	{5,4,5,5} noncompact

5

q=5, s=3
p \ r	3	4	5
3	{3,5,3,3} noncompact	{3,5,4,3} noncompact	{3,5,5,3} noncompact
4	{4,5,3,3} noncompact	{4,5,4,3} noncompact	{4,5,5,3} noncompact
5	{5,5,3,3} noncompact	{5,5,4,3} noncompact	{5,5,5,3} noncompact

q=5, s=4
p \ r	3	4	5
3	{3,5,3,4} noncompact	{3,5,4,4} noncompact	{3,5,5,4} noncompact
4	{4,5,3,4} noncompact	{4,5,4,4} noncompact	{4,5,5,4} noncompact
5	{5,5,3,4} noncompact	{5,5,4,4} noncompact	{5,5,5,4} noncompact

q=5, s=5
p \ r	3	4	5
3	{3,5,3,5} noncompact	{3,5,4,5} noncompact	{3,5,5,5} noncompact
4	{4,5,3,5} noncompact	{4,5,4,5} noncompact	{4,5,5,5} noncompact
5	{5,5,3,5} noncompact	{5,5,4,5} noncompact	{5,5,5,5} noncompact