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Size: 9830
Comment: Fixed Cellular Automaton to work correctly for rules where background is ones (such as 255) and made matrix display in opposite colours, as is conventional.
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Size: 10307
Comment:
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| Deletions are marked like this. | Additions are marked like this. |
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| by Marshall Hampton. When the two frequencies are well seperated, we hear the right hand side of the identity. When they start getting close, we hear the higher-pitched factor in the left-hand side modulated by the lower-pitched envelope. {{{ |
by Marshall Hampton. When the two frequencies are well separated, we hear the right hand side of the identity. When they start getting close, we hear the higher-pitched factor in the left-hand side modulated by the lower-pitched envelope. {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell |
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| {{{ | {{{#!sagecell %python |
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def cellular(rule, N): |
from random import randint def cellular(rule, N, initial='Single-cell'): |
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| initial: starting condition; can be either single-cell or a random binary row | |
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| M=zeros( (N,2*N+1), dtype=int) M[0,N]=1 |
M=zeros( (N,2*N+2), dtype=int) if initial=='Single-cell': M[0,N]=1 else: M[0]=[randint(0,1) for a in range(0,2*N+2)] |
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| }}} {{{ |
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@interact def _( N=input_box(label='Number of iterations',default=100), |
}}} Put in separate cell: {{{#!sagecell @interact def _( initial=selector(['Single-cell', 'Random'], label='Starting condition'), N=input_box(label='Number of iterations',default=100), |
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| size = slider(1, 11, step_size=1, default=6 ) ): | size = slider(1, 11, label= 'Size', step_size=1, default=6 ), auto_update=False): |
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| M = cellular(rule, N) | M = cellular(rule, N, initial) |
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| {{attachment:cellular.png}} | {{attachment:cellular2.png}} |
Sage Interactions - Miscellaneous
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Contents
Hearing a trigonometric identity
by Marshall Hampton. When the two frequencies are well separated, we hear the right hand side of the identity. When they start getting close, we hear the higher-pitched factor in the left-hand side modulated by the lower-pitched envelope.
Karplus-Strong algorithm for plucked and percussive sound generation
by Marshall Hampton
An Interactive Venn Diagram
Unreadable code
by Igor Tolkov
Profile a snippet of code
Evaluate a bit of code in a given system
by William Stein (there is no way yet to make the text box big):
Minkowski Sum
by Marshall Hampton
Cellular Automata
by Pablo Angulo, Eviatar Bach
Put in separate cell:
